title:
The virial theorem and the dynamics of clusters of galaxies in the brane
  world models

abstract:
  A version of the virial theorem, which takes into account the effects of the
non-compact extra-dimensions, is derived in the framework of the brane world
models. In the braneworld scenario, the four dimensional effective Einstein
equation has some extra terms, called dark radiation and dark pressure,
respectively, which arise from the embedding of the 3-brane in the bulk. To
derive the generalized virial theorem we use a method based on the
collisionless Boltzmann equation. The dark radiation term generates an
equivalent mass term (the dark mass), which gives an effective contribution to
the gravitational energy. This term may account for the well-known virial
theorem mass discrepancy in actual clusters of galaxies. An approximate
solution of the vacuum field equations on the brane, corresponding to weak
gravitational fields, is also obtained, and the expressions for the dark
radiation and dark mass are derived. The qualitative behavior of the dark mass
is similar to that of the observed virial mass in clusters of galaxies. We
compare our model with the observational data for galaxy clusters, and we
express all the physical parameters of the model in terms of observable
quantities. In particular, we predict that the dark mass must extend far beyond
the presently considered virial radius. The behavior of the galaxy cluster
velocity dispersion in brane world models is also considered. Therefore the
study of the matter distribution and velocity dispersion at the extragalactic
scales could provide an efficient method for testing the multi-dimensional
physical models.


title:
The Quantum-Like Brain Operating on Subcognitive and Cognitive Time
  Scales

abstract:
  We propose a {\it quantum-like} (QL) model of the functioning of the brain.
It should be sharply distinguished from the reductionist {\it quantum} model.
By the latter cognition is created by {\it physical quantum processes} in the
brain. The crucial point of our modelling is that discovery of the mathematical
formalism of quantum mechanics (QM) was in fact discovery of a very general
formalism describing {\it consistent processing of incomplete information}
about contexts (physical, mental, economic, social). The brain is an advanced
device which developed the ability to create a QL representation of contexts.
Therefore its functioning can also be described by the mathematical formalism
of QM. The possibility of such a description has nothing to do with composing
of the brain of quantum systems (photons, electrons, protons,...). Moreover, we
shall propose a model in that the QL representation is based on conventional
neurophysiological model of the functioning of the brain. The brain uses the QL
rule (given by von Neumann trace formula) for calculation of {\it approximative
averages} for mental functions, but the physical basis of mental functions is
given by neural networks in the brain. The QL representation has a {\it
temporal basis.} Any cognitive process is based on (at least) two time scales:
subcognitive time scale (which is very fine) and cognitive time scale (which is
essentially coarser).


title: Khovanov-Rozansky homology and the braid index of a knot

abstract:
  We prove the existence of a knot whose braid index the Morton-Franks-Williams
inequality fails to detect but a related inequality (KR-MFW inequality), which
uses new information of Khovanov-Rozansky homology, detects. We also prove, by
examples, that there exists infinitely many knots for which the KR-MFW
inequality fails to detect the braid indices.


title: Universal dynamics of quantum spin decoherence in a spin bath

abstract:
  We systematically investigate the universal spin decoherence dynamics of a
localized electron in an arbitrary nuclear spin bath, which can be even far
away from equilibrium due to the weak nuclear-lattice interaction. We show that
the electron spin relaxation dynamics (as well as spin pure dephasing and Hahn
echo decay) can {\it always} have a universal behavior as long as the initial
state is composed of a sufficiently large amount of spin eigenstates. For a
given system, the pattern of the universal dynamics depends on the complicated
initial condition only via a {\it single} parameter, which measures the amount
of phase coherence between different spin eigenstates in the initial state. Our
results apply even when the number of the involved nuclei is not large, and
therefore provide a solid foundation in the comparison of theoretical/numerical
results with the experimental measurement. As an example, we also show
numerical results for systems of noninteracting spin bath in zero magnetic
field regime, and discuss the features of universal decoherent dynamics.


title:
Increasing future gravitational-wave detectors sensitivity by means of
  amplitude filter cavities and quantum entanglement

abstract:
  The future laser interferometric gravitational-wave detectors sensitivity can
be improved using squeezed light. In particular, recently a scheme which uses
the optical field with frequency dependent squeeze factor, prepared by means of
a relatively short (~30 m) amplitude filter cavity, was proposed
\cite{Corbitt2004-3}. Here we consider an improved version of this scheme,
which allows to further reduce the quantum noise by exploiting the quantum
entanglement between the optical fields at the filter cavity two ports.


title:
Stochastic Differential Games with Reflection and Related Obstacle
  Problems for Isaacs Equations

abstract:
  In this paper we first investigate zero-sum two-player stochastic
differential games with reflection with the help of theory of Reflected
Backward Stochastic Differential Equations (RBSDEs). We will establish the
dynamic programming principle for the upper and the lower value functions of
this kind of stochastic differential games with reflection in a
straight-forward way. Then the upper and the lower value functions are proved
to be the unique viscosity solutions of the associated upper and the lower
Hamilton-Jacobi-Bellman-Isaacs equations with obstacles, respectively. The
method differs heavily from those used for control problems with reflection, it
has its own techniques and its own interest. On the other hand, we also prove a
new estimate for RBSDEs being sharper than that in El Karoui, Kapoudjian,
Pardoux, Peng and Quenez [7], which turns out to be very useful because it
allows to estimate the $L^p$-distance of the solutions of two different RBSDEs
by the $p$-th power of the distance of the initial values of the driving
forward equations. We also show that the unique viscosity solution of the
approximating Isaacs equation which is constructed by the penalization method
converges to the viscosity solution of the Isaacs equation with obstacle.


title: Linearity Defect and Regularity over a Koszul Algebra

abstract:
  Let A be a Koszul algebra, and $mod A$ the category of finitely generated
graded left A-modules. The "linearity defect" ld_A(M) of $M \in mod A$ is an
invariant defined by Herzog and Iyengar. An exterior algebra E is a Koszul
algebra which is the Koszul dual S^! of a polynomial ring S. Eisenbud et al.
showed that $ld_E(M) < \infty$ for all $M \in mod E$. Improving their result,
we show the following (and many other facts):
  (*) If A is a Koszul complete intersection, then $reg_{A^!} (M) < \infty$ and
$ld_{A^!} (M) < \infty$ for all $M \in mod A^!$.
  (**) There is a uniform bound of $ld(J)$, where J is a graded ideal of E.


title: A simple model for dynamic phase transitions in cell spreading

abstract:
  Cell spreading is investigated at various scales in order to understand
motility of living cells which is essential for a range of physiological
activities in higher organisms as well as in microbes. At a microscopic scale,
it has been seen that actin polymerization at the leading edge of cell membrane
primarily helps the cell to spread depending upon its extra-cellular
environment which influences the polymerization process via some receptors on
the cell membrane. There are some interesting experimental results at
macroscopic scales (cell size) where people have observed various dynamic
phases in terms of spreading rate of cell area adhering to the substrate. In
the present paper we develop a very simple phenomenological model to capture
these dynamic apparent phases of a spreading cell without going into the
microscopic details of actin polymerization.


title: On the power of quantum, one round, two prover interactive proof systems

abstract:
  We analyze quantum two prover one round interactive proof systems, in which
noninteracting provers can share unlimited entanglement. The maximum acceptance
probability is characterized as a superoperator norm. We get some partial
results about the superoperator norm, and in particular we analyze the "rank
one" case.


title: Fonctions Et Integrales Elliptiques

abstract:
  This paper presents the basic ideas and properties of elliptic functions and
elliptic integrals as an expository essay. It explores some of their numerous
consequences and includes applications to some problems such as the simple
pendulum, the Euler rigid body motion and some others integrable hamiltonian
systems.


title:
The transition form factors for semi-leptonic weak decays of $J/\psi$ in
  QCD sum rules

abstract:
  Within the Standard Model, we investigate the semi-leptonic weak decays of
$J/\psi$. The various form factors of $J/\psi$ transiting to a single charmed
meson ($D^{(*)}_{(d,s)}$) are studied in the framework of the QCD sum rules.
These form factors fully determine the rates of the weak semi-leptonic decays
of $J/\psi$ and provide valuable information about the non-perturbative QCD
effects. Our results indicate that the decay rate of the semi-leptonic weak
decay mode $J/\psi \to D^{(*)-}_{s}+e^{+}+\nu_{e}$ is at order of $10^{-10}$.


title: On multipliers of Hilbert modules over locally C*-algebras

abstract:
  In this paper, we investigate the structure of the multiplier module of a
Hilbert module over a locally C*-algebra and the relationship between the set
of all adjointable operators from a Hilbert A-module E to a Hilbert A-module F
and the set of all adjointable operators from the multiplier module M(E)of E to
the multiplier module M(F) of F.


title: High energy neutrino early afterglows from gamma-ray bursts revisited

abstract:
  The high energy neutrino emission from gamma-ray bursts (GRBs) has been
expected in various scenarios. In this paper, we study the neutrino emission
from early afterglows of GRBs, especially under the reverse-forward shock model
and late prompt emission model. In the former model, the early afterglow
emission occurs due to dissipation made by an external shock with the
circumburst medium (CBM). In the latter model, internal dissipation such as
internal shocks produces the shallow decay emission in early afterglows. We
also discuss implications of recent Swift observations for neutrino signals in
detail. Future neutrino detectors such as IceCube may detect neutrino signals
from early afterglows, especially under the late prompt emission model, while
the detection would be difficult under the reverse-forward shock model.
Contribution to the neutrino background from the early afterglow emission may
be at most comparable to that from the prompt emission unless the outflow
making the early afterglow emission loads more nonthermal protons, and it may
be important in the very high energies. Neutrino-detections are inviting
because they could provide us with not only information on baryon acceleration
but also one of the clues to the model of early afterglows. Finally, we compare
various predictions for the neutrino background from GRBs, which are testable
by future neutrino-observations.


title:
A self-consistent microscopic model of Coulomb interaction in a bilayer
  system as an origin of Drag Effect Phenomenon

abstract:
  In this work we implement the self-consistent Thomas-Fermi model that also
incorporates a local conductivity model to an electron-electron bilayer system,
in order to describe novel magneto-transport properties such as the Drag
Phenomenon. The model can successfully account for the poor screening of the
potential within the incompressible strips and its impact on the interlayer
Coulomb interaction. An externally applied current in the active layer results
in the tilting of the Landau levels and built-up of a Hall potential across the
layer, which, in turn, induces a tilted potential profile in the passive layer
as well. We investigate the effect of the current intensity, temperature,
magnetic field, and unequal density of layers on the self-consistent density
and potential profiles of the bilayer system.


title:
Investigations on unconventional aspects in the quantum Hall regime of
  narrow gate defined channels

abstract:
  We report on theoretical and experimental investigations of the integer
quantized Hall effect in narrow channels at various mobilities. The Hall bars
are defined electrostatically in two-dimensional electron systems by biasing
metal gates on the surfaces of GaAs/AlGaAs heterostructures. In the low
mobility regime the classical Hall resistance line is proportional to the
magnetic field as measured in the high temperature limit and cuts through the
center of each Hall plateau. For high mobility samples we observe in linear
response measurements, that this symmetry is broken and the classical Hall line
cuts the plateaus not at the center but at higher magnetic fields near the
edges of the plateaus. These experimental results confirm the unconventional
predictions of a model for the quantum Hall effect taking into account mutual
screening of charge carriers within the Hall bar. The theory is based on
solving the Poisson and Schr\"odinger equations in a self-consistent manner.


title:
Selmer groups for elliptic curves in Z_l^d-extensions of function fields
  of characteristic p

abstract:
  Let $F$ be a function field of characteristic $p>0$, $\F/F$ a Galois
extension with $Gal(\F/F)\simeq \Z_l^d$ (for some prime $l\neq p$) and $E/F$ a
non-isotrivial elliptic curve. We study the behaviour of Selmer groups
$Sel_E(L)_r$ ($r$ any prime) as $L$ varies through the subextensions of $\F$
via appropriate versions of Mazur's Control Theorem. As a consequence we prove
that $Sel_E(\F)_r$ is a cofinitely generated (in some cases cotorsion)
$\Z_r[[Gal(\F/F)]]$-module.


title: Surface subgroups of right-angled Artin groups

abstract:
  We consider the question of which right-angled Artin groups contain closed
hyperbolic surface subgroups. It is known that a right-angled Artin group
$A(K)$ has such a subgroup if its defining graph $K$ contains an $n$-hole (i.e.
an induced cycle of length $n$) with $n\geq 5$. We construct another eight
"forbidden" graphs and show that every graph $K$ on $\le 8$ vertices either
contains one of our examples, or contains a hole of length $\ge 5$, or has the
property that $A(K)$ does not contain hyperbolic closed surface subgroups. We
also provide several sufficient conditions for a \RAAG to contain no hyperbolic
surface subgroups.
  We prove that for one of these "forbidden" subgraphs $P_2(6)$, the right
angled Artin group $A(P_2(6))$ is a subgroup of a (right angled Artin) diagram
group. Thus we show that a diagram group can contain a non-free hyperbolic
subgroup answering a question of Guba and Sapir. We also show that fundamental
groups of non-orientable surfaces can be subgroups of diagram groups. Thus the
first integral homology of a subgroup of a diagram group can have torsion (all
homology groups of all diagram groups are free Abelian by a result of Guba and
Sapir).


title:
The Energy Criterion and Dynamical Symmetry Breaking in a $SU(3)_L
  \otimes U(1)_X$ Extension of the Standard Model

abstract:
  The coupling constants $g_L$ and $g_X$ of some versions of the
$SU(3)_L\otimes U(1)_X$ extension of the standard model are related through to
relationship $g^2_X/g^2_L= \sin^2\theta_W/(1 - 4\sin^2\theta_W)$. This fact
suggest that the $SU(3)_L\otimes U(1)_X$ gauge symmetry in this class of models
can be broken dynamically to the standard model at TeV scale without requiring
the introduction of fundamental scalars. This possibility was investigated by
Das and Jain who considered only the first version of this class of models. In
this brief report we discuss an energy criterion to verify the most probable
version of the $SU(3)_L\otimes U(1)_X$ model that is realized in nature.


title: Alpha variation problem and q-factor definition

abstract:
  Different q-factor definitions are considered. The formula connecting
different q-factors is given. Also it is pointed the way to find all the
q-factors from experimental data.


title: Uncertainty principle with quantum Fisher information

abstract:
  In this paper we prove a nontrivial lower bound for the determinant of the
covariance matrix of quantum mechanical observables, which was conjectured by
Gibilisco, Isola and Imparato. The lower bound is given in terms of the
commutator of the state and the observables and their scalar product, which is
generated by an arbitrary symmetric operator monotone function.


title: Realisability and Localisation

abstract:
  Let $A$ be a differential graded algebra with cohomology ring $H^*A$. A
graded module over $H^*A$ is called \emph{realisable} if it is (up to direct
summands) of the form $H^*M$ for some differential graded $A$-module $M$.
Benson, Krause and Schwede have stated a local and a global obstruction for
realisability. The global obstruction is given by the Hochschild class
determined by the secondary multiplication of the $A_{\infty}$-algebra
structure of $H^*A$.
  In this thesis we mainly consider differential graded algebras $A$ with
graded-commutative cohomology ring. We show that a finitely presented graded
$H^*A$-module $X$ is realisable if and only if its $\mathfrak{p}$-localisation
$X_{\mathfrak{p}}$ is realisable for all graded prime ideals $\mathfrak{p}$ of
$H^*A$.
  In order to obtain such a local-global principle also for the global
obstruction, we define the \emph{localisation of a differential graded algebra
$A$ at a graded prime $\mathfrak{p}$ of $H^*A$}, denoted by $A_{\mathfrak{p}}$,
and show the existence of a morphism of differential graded algebras inducing
the canonical map $H^*A \to (H^*A)_{\mathfrak{p}}$ in cohomology. The latter
result actually holds in a much more general setting: we prove that every
smashing localisation on the derived category of a differential graded algebra
is induced by a morphism of differential graded algebras.
  Finally we discuss the relation between realisability of modules over the
group cohomology ring and the Tate cohomology ring.


title: QCD dynamics in a constant chromomagnetic field

abstract:
  We investigate the phase transition in full QCD with two flavors of staggered
fermions in presence of a constant abelian chromomagnetic field. We find that
the critical temperature depends on the strength of the chromomagnetic field
and that the deconfined phase extends to very low temperatures for strong
enough fields. As in the case of zero external field, a single transition is
detected, within statistical uncertainties, where both deconfinement and chiral
symmetry restoration take place. We also find that the chiral condensate
increases with the strength of the chromomagnetic field.


title: Luminosity distance in GX cosmological models

abstract:
  We derive luminosity distance equation in Gurzadyan-Xue cosmological models
and compared it with available supernovae and radio galaxies data sets. We
found that the luminosity distance does not depend explicitly the speed of
light and the gravitation constant, and depends only on the matter parameter
(GX-invariant) and curvature.


title:
Logic, Design & Organization of PTVD-SHAM; A Parallel Time Varying &
  Data Super-helical Access Memory

abstract:
  This paper encompasses a super helical memory system's design, 'Boolean logic
& image-logic' as a theoretical concept of an invention-model to 'store
time-data' in terms of anticipating the best memory location ever for
data/time. A waterfall effect is deemed to assist the process of
potential-difference output-switch into diverse logic states in quantum dot
computational methods via utilizing coiled carbon nanotubes (CCNTs) and carbon
nanotube field effect transistors (CNFETs). A 'quantum confinement' is thus
derived for a flow of particles in a categorized quantum well substrate with a
normalized capacitance rectifying high B-field flux into electromagnetic
induction. Multi-access of coherent sequences of 'qubit addressing' is gained
in any magnitude as pre-defined for the orientation of array displacement.
Briefly, Gaussian curvature of k<0 is debated in aim of specifying the 2D
electron gas characteristics in scenarios where data is stored in short
intervals versus long ones e.g. when k'>(k<0) for greater CCNT diameters,
space-time continuum is folded by chance for the particle. This benefits from
Maxwell-Lorentz theory in Minkowski's space-time viewpoint alike to crystal
oscillators for precise data timing purposes and radar systems e.g., time
varying self-clocking devices in diverse geographic locations. This application
could also be optional for data depository versus extraction, in the best
supercomputer system's locations, autonomously. For best performance in
minimizing current limiting mechanisms including electromigration, a multilevel
metallization and implant process forming elevated sources/drains for the
circuit's staircase pyramidal construction, is discussed accordingly.


title: Quantum and Classical Variance in the Quantum Realm

abstract:
  This paper examines the variance of quantum and classical predictions in the
quantum realm, as well as unexpected presence and absence of variances. Some
features are found that share an indirect commonality with the Aharonov-Bohm
and Aharonov-Casher effects in that there is a quantum action in the absence of
a force. Variances are also found in the presence of a force that are more
subtle as they are of higher order. Significant variances related to the
harmonic oscillator and particle in a box periods are found. This paper raises
the question whether apparent quantum self-inconsistency may be examined
internally, or must be empirically ascertained. These inherent variances may
either point to inconsistencies in quantum mechanics that should be fixed, or
that nature is manifestly more non-classical than expected. For the harmonic
oscillator it is proven that the second spatial moment is the same in QM and
CM.


title: MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops

abstract:
  It is a remarkable fact that MHV amplitudes in maximally supersymmetric
Yang-Mills theory at arbitrary loop order can be written as the product of the
tree amplitude with the same helicity configuration and a universal,
helicity-blind function of the kinematic invariants. In this note we show how
for one-loop MHV amplitudes with an arbitrary number of external legs this
universal function can be derived using Wilson loops. Our result is in precise
agreement with the known expression for the infinite sequence of MHV amplitudes
in N=4 super Yang-Mills. In the four-point case, we are able to reproduce the
expression of the amplitude to all orders in the dimensional regularisation
parameter epsilon. This prescription disentangles cleanly infrared divergences
and finite terms, and leads to an intriguing one-to-one mapping between certain
Wilson loop diagrams and (finite) two-mass easy box functions.


title:
Reply to Comment on Approximation for a Coulomb- Volkov solution in
  strong fields

abstract:
  It is shown that the criticism of Voitkiv [Phys. Rev. A 74, 027403 (2006)] is
based on one assumption, which is false for an ionized electron, initially
bound by the Coulomb potential, in a strong circularly polarized laser field. A
certain new Coulomb correction to the Volkov wavefunction is proposed.


title: Natural Moves for Knots and Links

abstract:
  We propose some natural generalizations of Reidemeister moves that do not
increase the number of crossings in the generated diagrams. Experimentations
make us conjecture that this class of monotonic moves is complete for computing
canonical forms and then deciding isotopy.


title: Quasinormal modes of black holes immersed in a strong magnetic field

abstract:
  We found quasinormal modes, both in time and frequency domains, of the Ernst
black holes, that is neutral black holes immersed in an external magnetic
field. The Ernst solution reduces to the Schwarzschild solution, when the
magnetic field vanishes. It is found that the quasinormal spectrum for massless
scalar field in the vicinity of the magnetized black holes acquires an
effective "mass" $\mu = 2 B m$, where m is the azimuthal number and B is
parameter describing the magnetic field. We shall show that in the presence of
a magnetic field quasinormal modes are longer lived and have larger oscillation
frequencies. The perturbations of higher dimensional magnetized black holes by
Ortaggio and of magnetized dilaton black holes by Radu are considered.


title: On the Dirac Oscillator

abstract:
  In the present work we obtain a new representation for the Dirac oscillator
based on the Clifford algebra $C\ell_7.$ The symmetry breaking and the energy
eigenvalues for our model of the Dirac oscillator are studied in the
non-relativistic limit.


title: Deconstructing the Little Hagedorn Holography

abstract:
  We study aspects of the thermodynamics of Little String Theory, using its
geometrical definition in critical ten-dimensional string theory. We find that
bulk radiation effects tend to screen the Hagedorn behaviour of the theory, in
contrast to the behaviour in the AdS system background. The resulting density
of states of the system, when stable, is described by a seven-dimensional
nonrelativistic gas. This requires modifications of the holographic Little
Hagedorn picture. Using deconstructions we suggest such modifications. The
model is embedded into a system which has an ultraviolet fixed point with an
AdS description. We investigate the thermodynamical properties of these UV
completed models. It is found that the Hagedorn regime survives in a finite
band of superheated states that eventually decay into the plasma phase of the
conformal field theory that serves as UV regulator. This is manifested in a
first-order phase transition that is driven by radiative corrections.


title: AdS_3 Partition Functions Reconstructed

abstract:
  For pure gravity in AdS_3, Witten has given a recipe for the construction of
holomorphically factorizable partition functions of pure gravity theories with
central charge c=24k. The partition function was found to be a polynomial in
the modular invariant j-function. We show that the partition function can be
obtained instead as a modular sum which has a more physical interpretation as a
sum over geometries. We express both the j-function and its derivative in terms
of such a sum.


title:
A Renormalization Group For Treating 2D Coupled Arrays of Continuum 1D
  Systems

abstract:
  We study the spectrum of two dimensional coupled arrays of continuum
one-dimensional systems by wedding a density matrix renormalization group
procedure to a renormalization group improved truncated spectrum approach. To
illustrate the approach we study the spectrum of large arrays of coupled
quantum Ising chains. We demonstrate explicitly that the method can treat the
various regimes of chains, in particular the three dimensional Ising ordering
transition the chains undergo as a function of interchain coupling.


title:
Falsification Of The Atmospheric CO2 Greenhouse Effects Within The Frame
  Of Physics

abstract:
  The atmospheric greenhouse effect, an idea that many authors trace back to
the traditional works of Fourier (1824), Tyndall (1861), and Arrhenius (1896),
and which is still supported in global climatology, essentially describes a
fictitious mechanism, in which a planetary atmosphere acts as a heat pump
driven by an environment that is radiatively interacting with but radiatively
equilibrated to the atmospheric system. According to the second law of
thermodynamics such a planetary machine can never exist. Nevertheless, in
almost all texts of global climatology and in a widespread secondary literature
it is taken for granted that such mechanism is real and stands on a firm
scientific foundation. In this paper the popular conjecture is analyzed and the
underlying physical principles are clarified. By showing that (a) there are no
common physical laws between the warming phenomenon in glass houses and the
fictitious atmospheric greenhouse effects, (b) there are no calculations to
determine an average surface temperature of a planet, (c) the frequently
mentioned difference of 33 degrees Celsius is a meaningless number calculated
wrongly, (d) the formulas of cavity radiation are used inappropriately, (e) the
assumption of a radiative balance is unphysical, (f) thermal conductivity and
friction must not be set to zero, the atmospheric greenhouse conjecture is
falsified.


title:
Solitary Waves Under the Competition of Linear and Nonlinear Periodic
  Potentials

abstract:
  In this paper, we study the competition of linear and nonlinear lattices and
its effects on the stability and dynamics of bright solitary waves. We consider
both lattices in a perturbative framework, whereby the technique of Hamiltonian
perturbation theory can be used to obtain information about the existence of
solutions, and the same approach, as well as eigenvalue count considerations,
can be used to obtained detailed conditions about their linear stability. We
find that the analytical results are in very good agreement with our numerical
findings and can also be used to predict features of the dynamical evolution of
such solutions.


title: Mathematics and "The Trouble with Physics", How Deep We Have to Go ?

abstract:
  The parts contributed by the author in recent discussions with several
physicists and mathematicians are reviewed, as they have been occasioned by the
2006 book "The Trouble with Physics", of Lee Smolin. Some of the issues
addressed are the possible and not yet sufficiently explored relationship
between modern Mathematics and theoretical Physics, as well as the way
physicists may benefit from becoming more aware of what at present appear to be
certain less than fortunate yet essential differences between modern
Mathematics and theoretical Physics, as far as the significant freedom of
introducing new fundamental concepts, structures and theories in the former is
concerned. A number of modern mathematical concepts and structures are
suggested for consideration by physicists, when dealing with foundational
issues in present day theoretical Physics. Since here discussions with several
persons are reviewed, certain issues may be brought up more than one time. For
such repetitions the author ask for the kind understanding of the reader.


title: Quantum coherences, K-way negativities and multipartite entanglement

abstract:
  A characterization of N-partite states, based on K-way (K = 2 to N)
negativities, is proposed. The K-way partial transpose with respect to a
subsystem is defined so as to shift the focus to K-way coherences instead of K
subsystems of the composite system. For an N-partite system the fraction of
K-way negativity, contributing to global negativity, is obtained. The
entanglement measures for a given state ${\rho}$ are identified as the partial
K-way negativities of the corresponding canonical state.


title: On the skein exact squence for knot Floer homology

abstract:
  The aim of this paper is to study the skein exact sequence for knot Floer
homology. We prove precise graded version of this sequence, and also one using
$\HFm$. Moreover, a complete argument is also given purely within the realm of
grid diagrams.


title:
Universal Quadratic Hierarchy Rule in Lepton Flavor Physics and Large
  Neutrino Mixing

abstract:
  Large mixing parameters of neutrino mass eigenstates in the neutrino flavor
eigenstates are determined, and interpreted as closely related to the neutrino
and charged lepton mass-ratio patterns. The three known seemingly different
charged lepton and quasi-degenerate neutrino deviation-from-extreme hierarchies
are shown to be three particular manifestations of one unifying quadratic
hierarchy-rule in lepton flavor physics.


title: Hollywood Blockbusters: Unlimited Fun but Limited Science Literacy

abstract:
  In this article, we examine specific scenes from popular action and sci-fi
movies and show how they blatantly break the laws of physics, all in the name
of entertainment, but coincidentally contributing to science illiteracy.

categories: physics.soc-ph physics.ed-ph physics.gen-ph physics.pop-ph


title:
Fossil Imprints of Outflow from the Galactic Bulge in Elemental
  Abundances of Metal-Rich Disk Stars

abstract:
  We explore the elemental abundance features of metal-rich disk stars,
highlighting the comparisons made with those of the recently revealed Galactic
bulge stars. A similarity between two of the comparisons leads to a new
theoretical picture of the bulge-disk connection in the Galaxy, where a
supermassive black hole resides at the center. We postulate that a metal-rich
outflow, triggered by feedback from a black hole, was generated and quenched
the star formation, which had lasted several billion years in the bulge. The
expelled gas cooled down in the Galactic halo without escaping from the
gravitational potential of the Galaxy. The gas gradually started to accrete to
the disk around five billion years ago, corresponding to the time of sun's
birth, and replaced a low-metallicity halo gas that had been accreting over
nearly ten billion years. The metal-rich infalling gas, whose elemental
abundance reflects that of metal-rich bulge stars, mixed with the interstellar
gas already present in the disk. Stars formed from the mixture compose the
metal-rich stellar disk. This scheme is incorporated into models for chemical
evolution of the disk. The resultant elemental features are compatible with the
observed abundance trends of metal-rich disk stars, including the upturning
feature exhibited in some [X/Fe] ratios, whose interpretation was theoretically
puzzling. Furthermore, the predicted abundance distribution function of disk
stars covers all observational facts to be considered: (i) the deficiency of
metal-poor stars, (ii) the location of peak, and (iii) the extended metal-rich
tail up to [Fe/H] ~ +0.4.


title:
A new approach for modelling mixed traffic flow with motorized vehicles
  and non-motorized vehicles based on cellular automaton model

abstract:
  In this study, we provide a novel approach for modelling the mixed traffic
flow. The basic idea is to integrate models for nonmotorized vehicles
(nm-vehicles) with models for motorized vehicles (m-vehicles). Based on the
idea, a model for mix traffic flow is realized in in the following two steps.
At a first step, the models that can be integrated should be chosen. The famous
NaSch cellular automata (NCA) model for m-vehicles and the Burgur cellular
automata (BCA) model for nm-vehicles are used in this paper, since the two
models are similar and comparable. At a second step, we should study coupling
rules between m-vehicles and nm-vehicles to represent their interaction.
Special lane changing rules are designed for the coupling process. The proposed
model is named as the combined cellular automata (CCA) model. The model is
applied to a typical mixed traffic scenario, where a bus stop without special
stop bay is set on nonmotorized lanes. The simulation results show that the
model can describe both the interaction between the flow of nm-vehicles and
m-vehicles and their characters.


title:
Violation of Bell's inequality in electronic Mach-Zehnder
  interferometers

abstract:
  We propose a possible setup of testing the Bell's inequality in mesoscopic
conductors. The particular implementation uses two coupled electronic
Mach-Zehnder interferometers in which electrons are injected into the
conductors in the quantum Hall regime. It is shown that the Bell's inequality
is violated for an arbitrary coupling strength between the two interferometers.


title:
Entanglement, measurement, and conditional evolution of the Kondo
  singlet interacting with a mesoscopic detector

abstract:
  We investigate various aspects of the Kondo singlet in a quantum dot (QD)
electrostatically coupled to a mesoscopic detector. The two subsystems are
represented by an entangled state between the Kondo singlet and the
charge-dependent detector state. We show that the phase-coherence of the Kondo
singlet is destroyed in a way that is sensitive to the charge-state information
restored both in the magnitude and in the phase of the scattering coefficients
of the detector. We also introduce the notion of the `conditional evolution' of
the Kondo singlet under projective measurement on the detector. Our study
reveals that the state of the composite system is disentangled upon this
measurement. The Kondo singlet evolves into a particular state with a fixed
number of electrons in the quantum dot. Its relaxation time is shown to be
sensitive only to the QD-charge dependence of the transmission probability in
the detector, which implies that the phase information is erased in this
conditional evolution process. We discuss implications of our observations in
view of the possible experimental realization.


title:
Optical-Fiber Gravitational Wave Detector: Dynamical 3-Space Turbulence
  Detected

abstract:
  Preliminary results from an optical-fiber gravitational wave interferometric
detector are reported. The detector is very small, cheap and simple to build
and operate. It is assembled from readily available opto-electronic components.
A parts list is given. The detector can operate in two modes: one in which only
instrument noise is detected, and data from a 24 hour period is reported for
this mode, and in a 2nd mode in which the gravitational waves are detected as
well, and data from a 24 hour period is analysed. Comparison shows that the
instrument has a high S/N ratio. The frequency spectrum of the gravitational
waves shows a pink noise spectrum, from 0 to 0.1Hz.


title:
Perturbative QCD analysis of exclusive J/\psi+\eta_c production in
  e^+e^- annihilation

abstract:
  We analyze the exclusive charmonium $J/\psi+\eta_c$ pair production in
$e^+e^-$ annihilation using the nonfactorized perturbative QCD and the
light-front quark model(LFQM) that goes beyond the peaking approximation. We
effectively include all orders of higher twist terms in the leading order of
QCD coupling constant and compare our nonfactorized analysis with the usual
factorized analysis in the calculation of the cross section. We also calculate
the quark distribution amplitudes, the Gegenbauer moments, and the decay
constants for $J/\psi$ and $\eta_c$ mesons using our LFQM. Our nonfactorized
result enhances the NRQCD result by a factor of $3\sim4$ at $\sqrt{s}=10.6$
GeV.


title: Banach-like metrics and metrics of compact sets

abstract:
  We present and study a family of metrics on the space of compact subsets of
$R^N$ (that we call ``shapes''). These metrics are ``geometric'', that is, they
are independent of rotation and translation; and these metrics enjoy many
interesting properties, as, for example, the existence of minimal geodesics. We
view our space of shapes as a subset of Banach (or Hilbert) manifolds: so we
can define a ``tangent manifold'' to shapes, and (in a very weak form) talk of
a ``Riemannian Geometry'' of shapes. Some of the metrics that we propose are
topologically equivalent to the Hausdorff metric; but at the same time, they
are more ``regular'', since we can hope for a local uniqueness of minimal
geodesics.
  We also study properties of the metrics obtained by isometrically identifying
a generic metric space with a subset of a Banach space to obtain a rigidity
result.


title:
Green's formula with $\bbc^{*}$-action and Caldero-Keller's formula for
  cluster algebras

abstract:
  It is known that Green's formula over finite fields gives rise to the
comultiplications of Ringel-Hall algebras and quantum groups (see\cite{Green},
also see \cite{Lusztig}). In this paper, we deduce the projective version of
Green's formula in a geometric way. Then following the method of Hubery in
\cite{Hubery2005}, we apply this formula to proving Caldero-Keller's
multiplication formula for acyclic cluster algebras of arbitrary type.


title:
Expressing an NP-Complete Problem as the Solvability of a Polynomial
  Equation

abstract:
  We demonstrate a polynomial approach to express the decision version of the
directed Hamiltonian Cycle Problem (HCP), which is NP-Complete, as the
Solvability of a Polynomial Equation with a constant number of variables,
within a bounded real space. We first introduce four new Theorems for a set of
periodic Functions with irrational periods, based on which we then use a
trigonometric substitution, to show how the HCP can be expressed as the
Solvability of a single polynomial Equation with a constant number of
variables. The feasible solution of each of these variables is bounded within
two real numbers. We point out what future work is necessary to prove that
P=NP.


title: Unit distance graphs with ambiguous chromatic number

abstract:
  First Laszlo Szekely and more recently Saharon Shelah and Alexander Soifer
have presented examples of infinite graphs whose chromatic numbers depend on
the axioms chosen for set theory. The existence of such graphs may be relevant
to the Chromatic Number of the Plane problem. In this paper we construct a new
class of graphs with ambiguous chromatic number. They are unit distance graphs
with vertex set R^n, and hence may be seen as further evidence that the
chromatic number of the plane might depend on set theory.


title: Characterization of EIT-based continuous variable quantum memories

abstract:
  We present a quantum multi-modal treatment describing Electromagnetically
Induced Transparency (EIT) as a mechanism for storing continuous variable
quantum information in light fields. Taking into account the atomic noise and
decoherences of realistic experiments, we model numerically the propagation,
storage, and readout of signals contained in the sideband amplitude and phase
quadratures of a light pulse. An analytical treatment of the effects predicted
by this more sophisticated model is then presented. Finally, we use quantum
information benchmarks to examine the properties of the EIT-based memory and
show the parameters needed to operate beyond the quantum limit.


title:
Evidence for strong 5d electron correlations and electron-magnon
  coupling in a pyrochlore, Y2Ir2O7

abstract:
  We report the observation of an unusual behavior of highly extended 5d
electrons in Y2Ir2O7 belonging to pyrochlore family of great current interest
using high resolution photoemission spectroscopy. The experimental bulk spectra
reveal an intense lower Hubbard band in addition to weak intensities in the
vicinity of the Fermi level, e_F. This provides a direct evidence for strong
electron correlation among the 5d electrons, despite their highly extended
nature. The high resolution spectrum at room temperature exhibits a pseudogap
at e_F and |e - e_F|^2 dependence demonstrating the importance of electron
correlation in this system. Remarkably, in the magnetically ordered phase (T <
150 K), the spectral lineshape evolves to a |e - e_F|^1.5 dependence
emphasizing the dominant role of electron-magnon coupling.


title:
Observational constrains on the DGP brane-world model with a
  Gauss-Bonnet term in the bulk

abstract:
  Using the data coming from the new 182 Gold type Ia supernova samples, the
baryon acoustic oscillation measurement from the Sloan Digital Sky Survey and
the H(z) data, we have performed a statistical joint analysis of the DGP
brane-world model with a high curvature Gauss-Bonnet term in the bulk.
Consistent parameters estimations show that the Gauss-Bonnet-Induced Gravity
model is a viable candidate to explain the observed acceleration of our
universe.


title: Wormhole and its Analogue in Brane World

abstract:
  In Einstein gravity, for an inhomogeneous phantom energy distribution having
linear equation of state (but anisotropic), there exists simple exact solution
for spherically symmetric space time describing a wormhole. At infinity, the
space time is not asymptotically flat and possesses a regular cosmological
Killing horizon with an infinite area. In this work, we have shown that, this
wormhole solution is also possible in brane world for various matter
distribution, which are not necessarily phantom in nature.


title: Schwarzschild Solution on the Brane

abstract:
  In this communication we have shown that Schwarzschild solution is possible
in brane world for some specific choices of brane matter and the non local
effects from the bulk. A conformally flat bulk space time with fine-tuned
vacuum energy (brane tension) shows that, Schwarzschild solution may also be
the vacuum solution for brane world scenario.


title: Modified Chaplygin Traversable Wormholes

abstract:
  The modified Chaplygin gas (MCG) is a strong candidate for the unified model
of dark matter and dark energy. The equation of state of this modified model is
valid from the radiation era to the $\Lambda$CDM model. In early epoch (when
$\rho$ was large), dark matter had the dominant role while at later stages
(when $\rho$ is small), the MCG model behaves as dark energy. In this work, we
have found exact solution of static spherically symmetric Einstein equations
describing a wormhole for an inhomogeneous distribution of modified Chaplygin
gas. For existence of wormhole solution, there are some restrictions relating
the parameters in the equation of state for MCG and the throat radius of the
wormhole. Physical properties and characteristics of these modified Chaplygin
wormholes are analyzed in details.


title:
Sharp Examples for Planar Quasiconformal Distortion of Hausdorff
  Measures and Removability

abstract:
  In his celebrated paper on area distortion for quasiconformal mappings,
Astala showed optimal area distortion bounds and dimension distortion estimates
for planar quasiconformal mappings. He asked (Question 4.4) whether a finer
result held, namely absolute continuity of Hausdorff measures under
push-forward by quasiconformal mappings. This was proved in one particular case
relevant for removability questions, in joint work of Astala, Clop, Mateu,
Orobitg and the author ("Distortion of Hausdorff measures and improved
Painlev'e removability for bounded quasiregular mappings", Duke Math J., to
appear [ACMOU]) (Theorem 1.1), the other cases remaining open. A related
question that we left open in [ACMOU] (Question 4.2) (which was asked by Astala
to the author before [ACMOU] in an equivalent form in a personal communication)
is whether BMO removability for K-quasiregular mappings and ($L^{\infty}$)
removability for K-quasiregular mappings are indeed different problems.
  In this paper we give a series of examples answering in the positive Question
4.2 in [ACMOU], at the same time proving sharpness in two different senses of
Theorem 1.1 in [ACMOU], and also giving examples that would yield sharpness in
those two different senses as well for the absolute continuity of Hausdorff
measures under push-forward by quasiconformal mappings, were it to be proved.


title:
Triggered star formation on the borders of the Galactic HII region RCW
  120

abstract:
  To investigate the process of star formation triggered by the expansion of an
HII region, we present a multi-wavelength analysis of the Galactic HII region
RCW 120 and its surroundings. The collect and collapse model predicts that the
layer of gas and dust accumulated between the ionization and shock fronts
during the expansion of the HII region collapses and forms dense fragments,
giving rise to potential sites of massive-star formation. The aim of our study
is to look for such massive fragments and massive young stars on the borders of
RCW 120. We mapped the RCW 120 region in the cold dust continuum emission at
1.2 mm to search for these fragments. We supplemented this study with the
available near- (2MASS) and mid-IR (GLIMPSE) data to locate the IR sources
observed towards this region and to analyse their properties. We then compared
the observational results with the predictions of Hosokawa & Inutsuka's model
(2005, 2006). At 1.2 mm we detected eight fragments towards this region, five
located on its borders. The largest fragment has a mass of about 370 Msun.
Class I and Class II young stellar objects are detected all over the region,
with some observed far from the ionization front. This result emphasises the
possible importance distant interactions between the radiation, escaping from
the ionized region, and the surrounding medium.


title: Abelian gauge theories on compact manifolds and the Gribov ambiguity

abstract:
  We study the quantization of abelian gauge theories of principal torus
bundles over compact manifolds with and without boundary. It is shown that
these gauge theories suffer from a Gribov ambiguity originating in the
non-triviality of the bundle of connections whose geometrical structure will be
analyzed in detail. Motivated by the stochastic quantization approach we
propose a modified functional integral measure on the space of connections that
takes the Gribov problem into account. This functional integral measure is used
to calculate the partition function, the Greens functions and the field
strength correlating functions in any dimension using the fact that the space
of inequivalent connections itself admits the structure of a bundle over a
finite dimensional torus. The Greens functions are shown to be affected by the
non-trivial topology, giving rise to non-vanishing vacuum expectation values
for the gauge fields.


title: Composite Model and CP Violation

abstract:
  A fermion-boson-type Composite Model is proposed.
  Elementary fields are only one kind of spin-1/2 and spin-0 {\bf preon}. Both
are in the global supersymmetric pair with the common electric charge of e/6
and belong to the fundamental representations of (3, 2, 2) under the
spontaneously unbroken SU(3)_C\otimes{SU(2)}_L^{h}\otimes{SU(2)}_R^{h} gauge
symmetry (h means hyper-color gauge). Preons are composed into subquarks which
are intermediate clusters towards quarks and leptons. Weak interactions are
residual ones of hyper-color gauge interactions. W-and Z-boson are also
composite objects of subquarks, which introduces the idea of existence of their
scalar partners (S) by hyper-fine-splitting whose masses would be around
110-120 GeV. The mechanism of making higher generations is obtained by adding
neutral scalar subquark (y) composed of a preon-antipreon pair. Creation or
annihilation of y inside quarks induces the coupling constants of flavor-mixing
weak interactions which are all complex numbers (contrary to CKM-matrix
elements) and then they all become sources of direct and mixing-induced CP
violations. Exchange of y between quark and anti-quark inside neutral
pseudo-scalar meson (P^0) gives indirect CP violation and mass-difference of
P^0 and P^0. Current experimental results of CP violation (Belle, BaBar, CLEO,
KTeV and NA48) are inspected by this Composite Model. This model suggests the
candidates for Dark Energy and Dark Matter.


title: Reflective scattering effects in double-pomeron exchange processes

abstract:
  We discuss energy dependence of rapidity gap survival probability in the
double-pomeron exchange processes with account of the reflective scattering
effects.


title: Air-clad fibers: pump absorption assisted by chaotic wave dynamics?

abstract:
  Wave chaos is a concept which has already proved its practical usefulness in
design of double-clad fibers for cladding-pumped fiber lasers and fiber
amplifiers. In general, classically chaotic geometries will favor strong pump
absorption and we address the extent of chaotic wave dynamics in typical
air-clad geometries. While air-clad structures supporting sup-wavelength convex
air-glass interfaces (viewed from the high-index side) will promote chaotic
dynamics we find guidance of regular whispering-gallery modes in air-clad
structures resembling an overall cylindrical symmetry. Highly symmetric
air-clad structures may thus suppress the pump-absorption efficiency eta below
the ergodic scaling law eta proportional to Ac/Acl, where Ac and Acl are the
areas of the rare-earth doped core and the cladding, respectively.


title: Nuclear starburst-driven evolution of the central region in NGC 6764

abstract:
  We study the CO and the radiocontinuum emission in an active galaxy to
analyze the interplay between the central activity and the molecular gas. We
present new high-resolution observations of the CO(1-0) and CO(2-1) emission
lines, and 3.5 cm and 20 cm radio continuum emission in the central region of
the LINER/starburst galaxy NGC 6764. The galaxy has an outflow morphology in
radio continuum, spatially coincident with the CO and H$\alpha$ emission, and
centered slightly off the radio continuum peak at the LINER nucleus. The total
molecular gas mass in the center is about 7x10^8 \msun, using a CO luminosity
to total molecular gas conversion factor that is three times lower than the
standard one. CO(1-0) emission is found near the boundaries of the radio
continuum emission cone. The outflow has a projected expansion velocity of 25
km/s relative to the systemic velocity of NGC6764. About 4x 10^6 \msun of
molecular gas is detected in the outflow. The approximate location (~1 kpc) of
the dynamical inner Lindblad resonance has been derived from the rotation
curve. The peak of the CO emission is slightly (< 200 pc) offset from the peak
of the radio continuum.
  The molecular gas has most likely been ejected by the stellar winds from the
recent starburst, but the CO line ratios show indication of an interaction with
the AGN. The energy released by the nuclear starburst is sufficient to explain
the observed outflow, even if the data cannot exclude the AGN from being the
major energy source. Comparison of the outflow with hydrodynamical simulations
suggests that the nuclear starburst is 3--7 Myr old and the bubble-like outflow
is still confined and not freely expanding.


title:
Global parametrices and dispersive estimates for variable coefficient
  wave equations

abstract:
  In this article we consider variable coefficient, time-dependent wave
equations. Using phase space methods we construct outgoing parametrices and
prove Strichartz-type estimates globally in time. This is done in the context
of C^2 metrics which satisfy a weak aymptotic flatness condition at infinity.


title: Measurements of the CKM Angle beta/phi_1 at B Factories

abstract:
  We present a review of the measurements of the CKM angle beta (phi_1) by the
BaBar and Belle experiments at the asymmetric-energy e+e- B Factories PEP-II
and KEKB. The angle beta (phi_1) is measured by time-dependent CP analyses of
neutral B meson decays in a Upsilon(4S)->BBbar system, where one B meson is
fully reconstructed in a final state that can be accessed to by both B0 and
B0bar, usually a CP eigenstate. This angle has been measured at a high
precision through B0-> (ccbar)K0 channels. We also review another
tree-dominated decay B0-> D(*)0 h0 (h0 = pi0, eta^{'}, omega); tree decays with
penguin pollutions, B0->D(*)+-D-+$ and J/psi pi0; and penguin dominated modes,
B0-> eta^'K0, K+K-K0, and KsKsKs. A hint of sin2beta (sin2phi_1) in charmless
modes less than (ccbar)K0 modes still persists, which may be an indication of
possible new physics entering the loop in the penguin diagram.


title:
Singular curves and cusp points in the joint space of 3-RPR parallel
  manipulators

abstract:
  This paper investigates the singular curves in two-dimensional slices of the
joint space of a family of planar parallel manipulators. It focuses on special
points, referred to as cusp points, which may appear on these curves. Cusp
points play an important role in the kinematic behavior of parallel
manipulators since they make possible a nonsingular change of assembly mode.
The purpose of this study is twofold. First, it reviews an important previous
work, which, to the authors' knowledge, has never been exploited yet. Second,
it determines the cusp points in any two-dimensional slice of the joint space.
First results show that the number of cusp points may vary from zero to eight.
This work finds applications in both design and trajectory planning.


title:
Liquid-infiltrated photonic crystals - enhanced light-matter
  interactions for lab-on-a-chip applications

abstract:
  Optical techniques are finding widespread use in analytical chemistry for
chemical and bio-chemical analysis. During the past decade, there has been an
increasing emphasis on miniaturization of chemical analysis systems and
naturally this has stimulated a large effort in integrating microfluidics and
optics in lab-on-a-chip microsystems. This development is partly defining the
emerging field of optofluidics. Scaling analysis and experiments have
demonstrated the advantage of micro-scale devices over their macroscopic
counterparts for a number of chemical applications. However, from an optical
point of view, miniaturized devices suffer dramatically from the reduced
optical path compared to macroscale experiments, e.g. in a cuvette. Obviously,
the reduced optical path complicates the application of optical techniques in
lab-on-a-chip systems. In this paper we theoretically discuss how a strongly
dispersive photonic crystal environment may be used to enhance the light-matter
interactions, thus potentially compensating for the reduced optical path in
lab-on-a-chip systems. Combining electromagnetic perturbation theory with
full-wave electromagnetic simulations we address the prospects for achieving
slow-light enhancement of Beer-Lambert-Bouguer absorption, photonic band-gap
based refractometry, and high-Q cavity sensing.


title: Spontaneous trimerization in a bilinear-biquadratic S=1 zig-zag chain

abstract:
  Recent theoretical studies raised the possibility of a realization of spin
nematic states in the S=1 triangular lattice compound NiGa_2S_4. We study the
bilinear-biquadratic spin 1 chain in a zig-zag geometry by means of the density
matrix renormalization group method and exact diagonalization. We present the
phase diagram focusing on antiferromagnetic interactions. Adjacent to the known
Haldane-double Haldane and the extended critical phase with dominant spin
nematic correlations we find a trimerized phase with a nonvanishing energy gap.
We discuss results for different order parameters, energy gaps, correlation
functions, and the central charge, and make connection to field theoretical
predictions for the phase diagram.


title: Nonlinear Dynamics of the 3D Pendulum

abstract:
  A 3D pendulum consists of a rigid body, supported at a fixed pivot, with
three rotational degrees of freedom. The pendulum is acted on by a
gravitational force. Symmetry assumptions are shown to lead to the planar 1D
pendulum and to the spherical 2D pendulum models as special cases. The case
where the rigid body is asymmetric and the center of mass is distinct from the
pivot location leads to the 3D pendulum. Full and reduced 3D pendulum models
are introduced and used to study important features of the nonlinear dynamics:
conserved quantities, equilibria, invariant manifolds, local dynamics near
equilibria and invariant manifolds, and the presence of chaotic motions. These
results demonstrate the rich and complex dynamics of the 3D pendulum.


title:
Transversity and Collins Functions: from e+ e- --> h1 h2 X to SIDIS
  Processes

abstract:
  We present [1] the first simultaneous extraction of the transversity
distribution and the Collins fragmentation function, obtained through a
combined analysis of experimental data on azimuthal asymmetries in
semi-inclusive deep inelastic scattering (SIDIS), from the HERMES and COMPASS
Collaborations, and in e+ e- --> h1 h2 X processes, from the Belle
Collaboration.


title: Hector, a fast simulator for the transport of particles in beamlines

abstract:
  Computing the trajectories of particles in generic beamlines is an important
ingredient of experimental particle physics, in particular regarding near-beam
detectors. A new tool, Hector, has been built for such calculations, using the
transfer matrix approach and energy corrections. The limiting aperture effects
are also taken into account. As an illustration, the tool was used to simulate
the LHC beamlines, in particular around the high luminosity interaction points
(IPs), and validated with results of the Mad-X simulator. The LHC beam
profiles, trajectories and beta functions are presented. Assuming certain
forward proton detector scenarios around the IP5, acceptance plots, irradiation
doses and chromaticity grids are produced. Furthermore, the reconstruction of
proton kinematic variables at the IP (energy and angle) is studied as well as
the impact of the misalignment of beamline elements.


title: Memory in a nonlocally damped oscillator

abstract:
  We analyze the new equation of motion for the damped oscillator. It differs
from the standard one by a damping term which is nonlocal in time and hence it
gives rise to a system with memory. Both classical and quantum analysis is
performed. The characteristic feature of this nonlocal system is that it breaks
local composition low for the classical Hamiltonian dynamics and the
corresponding quantum propagator.


title: Reduction formalism for Dirac fermions on de Sitter spacetime

abstract:
  The reduction formulas for Dirac fermions are derived, using the exact
solutions of free Dirac equation on de Sitter spacetime. In the framework of
the perturbation theory one studies the Green functions and derive the
scatering amplitude in the first orders of perturbation theory.


title: Twist-4 Distribution Amplitudes of the K$^*$ and $\phi$ Mesons in QCD

abstract:
  We present a systematic study of twist-4 light-cone distribution amplitudes
of the $K^*$ and $\phi$ meson in QCD. The structure of SU(3)-breaking
corrections is studied in detail. Non-perturbative input parameters are
estimated from QCD sum rules and a renormalon based model. As a by-product, we
give a complete reanalysis of the parameters of the twist-4 $\rho$-meson
distribution amplitudes.


title: Matched-filtering and parameter estimation of ringdown waveforms

abstract:
  Using recent results from numerical relativity simulations of non-spinning
binary black hole mergers we revisit the problem of detecting ringdown
waveforms and of estimating the source parameters, considering both LISA and
Earth-based interferometers. We find that Advanced LIGO and EGO could detect
intermediate-mass black holes of mass up to about 1000 solar masses out to a
luminosity distance of a few Gpc. For typical multipolar energy distributions,
we show that the single-mode ringdown templates presently used for ringdown
searches in the LIGO data stream can produce a significant event loss (> 10%
for all detectors in a large interval of black hole masses) and very large
parameter estimation errors on the black hole's mass and spin. We estimate that
more than 10^6 templates would be needed for a single-stage multi-mode search.
Therefore, we recommend a "two stage" search to save on computational costs:
single-mode templates can be used for detection, but multi-mode templates or
Prony methods should be used to estimate parameters once a detection has been
made. We update estimates of the critical signal-to-noise ratio required to
test the hypothesis that two or more modes are present in the signal and to
resolve their frequencies, showing that second-generation Earth-based detectors
and LISA have the potential to perform no-hair tests.


title: Eigenfunctions of transfer operators and cohomology

abstract:
  The eigenfunctions with eigenvalues 1 or -1 of the transfer operator of Mayer
are in bijective correspondence with the eigenfunctions with eigenvalue 1 of a
transfer operator connected to the nearest integer continued fraction
algorithm. This is shown by relating these eigenspaces of these operators to
cohomology groups for the modular group with coefficients in certain principal
series representations.


title:
Fa\`a di Bruno subalgebras of the Hopf algebra of planar trees from
  combinatorial Dyson-Schwinger equations

abstract:
  We consider the combinatorial Dyson-Schwinger equation X=B^+(P(X)) in the
non-commutative Connes-KreimerHopf algebra of planar rooted trees H, where B^+
is the operator of grafting on a root, and P a formal series. The unique
solution X of this equation generates a graded subalgebra A_P of\H. We describe
all the formal series P such that A_P is a Hopf subalgebra. We obtain in this
way a 2-parameters family of Hopf subalgebras of H, organized into three
isomorphism classes: a first one, restricted to a olynomial ring in one
variable; a second one, restricted to the Hopf subalgebra of ladders,
isomorphic to the Hopf algebra of quasi-symmetric functions; a last (infinite)
one, which gives a non-commutative version of the Fa\`a di Bruno Hopf algebra.
By taking the quotient, the last classe gives an infinite set of embeddings of
the Fa\`a di Bruno algebra into the Connes-Kreimer Hopf algebra of rooted
trees. Moreover, we give an embedding of the free Fa\`a di Bruno Hopf algebra
on D variables into a Hopf algebra of decorated rooted trees, togetherwith a
non commutative version of this embedding.


title:
Non-Equilibrium Dynamics and Superfluid Ring Excitations in Binary
  Bose-Einstein Condensates

abstract:
  We revisit a classic study [D. S. Hall {\it et al.}, Phys. Rev. Lett. {\bf
81}, 1539 (1998)] of interpenetrating Bose-Einstein condensates in the
hyperfine states $\ket{F = 1, m_f = -1}\equiv\ket{1}$ and $\ket{F = 2, m_f =
+1}\equiv\ket{2}$ of ${}^{87}$Rb and observe striking new non-equilibrium
component separation dynamics in the form of oscillating ring-like structures.
The process of component separation is not significantly damped, a finding that
also contrasts sharply with earlier experimental work, allowing a clean first
look at a collective excitation of a binary superfluid. We further demonstrate
extraordinary quantitative agreement between theoretical and experimental
results using a multi-component mean-field model with key additional features:
the inclusion of atomic losses and the careful characterization of trap
potentials (at the level of a fraction of a percent).


title:
Is territory defence related to plumage ornaments in the king penguin
  Aptenodytes patagonicus ?

abstract: This paper has been withdrawn by the author


title:
Characterization of high-temperature PbTe p-n junctions prepared by
  thermal diffusion and by ion-implantation

abstract:
  We describe here the characteristics of two types of high-quality PbTe
p-n-junctions, prepared in this work: (1) by thermal diffusion of In4Te3 gas
(TDJ), and (2) by ion implantation (implanted junction, IJ) of In (In-IJ) and
Zn (Zn-IJ). The results, as presented here, demonstrate the high quality of
these PbTe diodes. Capacitance-voltage and current-voltage characteristics have
been measured. The measurements were carried out over a temperature range from
~ 10 K to ~ 180 K. The latter was the highest temperature, where the diode
still demonstrated rectifying properties. This maximum operating temperature is
higher than any of the earlier reported results.
  The saturation current density, J0, in both diode types, was ~ 10^-5 A/cm2 at
80 K, while at 180 K J0 ~ 10^-1 A/cm2 in TDJ and ~ 1 A/cm2 in both
ion-implanted junctions. At 80 K the reverse current started to increase
markedly at a bias of ~ 400 mV for TDJ, and at ~550 mV for IJ. The ideality
factor n was about 1.5-2 for both diode types at 80 K. The analysis of the C-V
plots shows that the junctions in both diode types are linearly graded. The
analysis of the C-V plots allows also determining the height of the junction
barrier, the concentrations and the concentration gradient of the impurities,
and the temperature dependence of the static dielectric constant. The
zero-bias-resistance x area products (R0Ae) at 80 K are: 850 OHMcm2 for TDJ,
250 OHMcm2 for In-IJ, and ~ 80 OHMcm2 for Zn-IJ, while at 180 K R0Ae ~ 0.38
OHMcm2 for TDJ, and ~ 0.1 OHMcm2 for IJ. The estimated detectivity is: D* ~
10^10 cmHz^(1/2)/W up to T=140 K, determined mainly by background radiation,
while at T=180 K, D* decreases to 108-107 cmHz^(1/2)/W, and is determined by
the Johnson noise.


title: Higgs searches at Tevatron

abstract:
  SM and MSSM Higgs Searches at the proton anti-proton collider Tevatron in Run
II are presented. The performance of the collider and the two experiments D0
and CDF is shown. No deviation from SM background expectation and no MSSM Higgs
signal has been observed.


title: HST's view of the youngest massive stars in the Magellanic Clouds

abstract:
  Accurate physical parameters of newborn massive stars are essential
ingredients to shed light on their formation, which is still an unsolved
problem. The rare class of compact H II regions in the Magellanic Clouds (MCs),
termed ``high-excitation blobs'' (HEBs), presents a unique opportunity to
acquire this information. These objects (~ 4" to 10", ~ 1 to 3 pc, in diameter)
harbor the youngest massive stars of the OB association/molecular cloud
complexes in the MCs accessible through high-resolution near-IR and optical
techniques. We present a brief overview of the results obtained with HST mainly
on two HEBs, one in the LMC (N159-5) and the other in the SMC (N81).


title:
Increased peripheral lipid clearance in an animal model of amyotrophic
  lateral sclerosis

abstract:
  Amyotrophic lateral sclerosis (ALS) is the most common adult motor neuron
disease, causing motor neuron degeneration, muscle atrophy, paralysis, and
death. Despite this degenerative process, a stable hypermetabolic state has
been observed in a large subset of patients. Mice expressing a mutant form of
Cu/Zn-superoxide dismutase (mSOD1 mice) constitute an animal model of ALS that,
like patients, exhibits unexpectedly increased energy expenditure.
Counterbalancing for this increase with a high-fat diet extends lifespan and
prevents motor neuron loss. Here, we investigated whether lipid metabolism is
defective in this animal model. Hepatic lipid metabolism was roughly normal,
whereas gastrointestinal absorption of lipids as well as peripheral clearance
of triglyceride-rich lipoproteins were markedly increased, leading to decreased
postprandial lipidemia. This defect was corrected by the high-fat regimen that
typically induces neuroprotection in these animals. Together, our findings show
that energy metabolism in mSOD1 mice shifts toward an increase in the
peripheral use of lipids. This metabolic shift probably accounts for the
protective effect of dietary lipids in this model.


title: Entanglement in bipartite generalized coherent states

abstract:
  Entanglement in a class of bipartite generalized coherent states is
discussed. It is shown that a positive parameter can be associated with the
bipartite generalized coherent states so that the states with equal value for
the parameter are of equal entanglement. It is shown that the maximum possible
entanglement of 1 bit is attained if the positive parameter equals $\sqrt{2}$.
The result that the entanglement is one bit when the relative phase between the
composing states is $\pi$ in bipartite coherent states is shown to be true for
the class of bipartite generalized coherent states considered.


title: Extended Cluster Model for Light, and Medium Nuclei

abstract:
  The structures, the electromagnetic transitions, and the beta decay strengths
of exotic nuclei are investigated within an extended cluster model. We start by
deriving an effective nuclear Hamiltonian within the $S_2$ correlation
operator. Tensor forces are introduced in a perturbative expansion which
includes up to the second order terms. Within this Hamiltonian we calculate the
distributions and the radii of A=3,~4 nuclei. For exotic nuclei characterized
by n valence protons/neutrons we excite the structure of the closed shell
nuclei via mixed modes formed by considering correlations operators of higher
order. Good results have been obtained for the calculated transitions and for
the beta decay transition probabilities.


title: High-temperature PbTe diodes

abstract:
  We describe the preparation of high-temperature PbTe diodes. Satisfactory
rectification was observed up to 180-200 K. Two types of diodes, based on a
p-PbTe single crystal, were prepared: (1) by In ion-implantation, and (2) by
thermodiffusion of In. Measurements were carried-out from ~ 10 K to ~ 200 K.
The ion-implanted diodes exhibit a satisfactorily low saturation current up to
a reverse bias of ~ 400 mV, and the thermally diffused junctions up to ~ 1 V.
The junctions are linearly graded. The current-voltage characteristics have
been fitted using the Shockley model. Photosensor parameters:
zero-bias-resistance x area product, the R0C time constant and the detectivity
D* are presented.


title:
Gravitational Quenching in Massive Galaxies and Clusters by Clumpy
  Accretion

abstract:
  We consider a simple gravitational-heating mechanism for the long-term
quenching of cooling flows and star formation in massive dark-matter haloes
hosting ellipticals and clusters. The virial shock heating in haloes >10^12 Mo
triggers quenching in 10^12-13 Mo haloes (Birnboim, Dekel & Neistein 2007). We
show that the long-term quenching in haloes >Mmin~7x10^12 Mo could be due to
the gravitational energy of cosmological accretion delivered to the inner-halo
hot gas by cold flows via ram-pressure drag and local shocks. Mmin is obtained
by comparing the gravitational power of infall into the potential well with the
overall radiative cooling rate. The heating wins if the gas inner density cusp
is not steeper than r^-0.5 and if the masses in the cold and hot phases are
comparable. The effect is stronger at higher redshifts, making the maintenance
easier also at later times. Clumps >10^5 Mo penetrate to the inner halo with
sufficient kinetic energy before they disintegrate, but they have to be <10^8
Mo for the drag to do enough work in a Hubble time. Pressure confined ~10^4K
clumps are stable against their own gravity and remain gaseous once below the
Bonnor-Ebert mass ~10^8 Mo. They are also immune to tidal disruption. Clumps in
the desired mass range could emerge by thermal instability in the outer halo if
the conductivity is not too high. Alternatively, such clumps may be embedded in
dark-matter subhaloes if the ionizing flux is ineffective, but they separate
from their subhaloes by ram pressure before entering the inner halo. Heating by
dynamical friction becomes dominant for massive satellites, which can
contribute up to one third of the total gravitational heating. We conclude that
gravitational heating by cosmological accretion is a viable alternative to AGN
feedback as a long-term quenching mechanism.


title: Quasi-static Limits in Nonrelativistic Quantum Electrodynamics

abstract:
  We consider a system of N nonrelativistic particles of spin 1/2 interacting
with the quantized Maxwell field (mass zero and spin one) in the limit when the
particles have a small velocity, imposing to the interaction an ultraviolet
cutoff, but no infrared cutoff.
  Two ways to implement the limit are considered: c going to infinity with the
velocity v of the particles fixed, the case for which rigorous results have
already been discussed in the literature, and v going to 0 with c fixed. The
second case can be rephrased as the limit of heavy particles, m_{j} -->
epsilon^{-2}m_{j}, observed over a long time, t --> epsilon^{-1}t, epsilon -->
0^{+}, with kinetic energy E_{kin} = Or(1).
  Focusing on the second approach we construct subspaces which are invariant
for the dynamics up to terms of order epsilon sqrt{log(epsilon^{-1})} and
describe effective dynamics, for the particles only, inside them. At the lowest
order the particles interact through Coulomb potentials. At the second one,
epsilon^{2}, the mass gets a correction of electromagnetic origin and a
velocity dependent interaction, the Darwin term, appears.
  Moreover, we calculate the radiated piece of the wave function, i. e., the
piece which leaks out of the almost invariant subspaces and calculate the
corresponding radiated energy.


title:
Effective chiral magnetic currents, topological magnetic charges, and
  microwave vortices in a cavity with an enclosed ferrite disk

abstract:
  In microwaves, a TE-polarized rectangular-waveguide resonator with an
inserted thin ferrite disk gives an example of a nonintegrable system. The
interplay of reflection and transmission at the disk interfaces together with
the material gyrotropy effect gives rise to whirlpool-like electromagnetic
vortices in the proximity of the ferromagnetic resonance. Based on numerical
simulation, we show that a character of microwave vortices in a cavity can be
analyzed by means of consideration of equivalent magnetic currents. Maxwell
equations allows introduction of a magnetic current as a source of the
electromagnetic field. Specifically, we found that in such nonintegrable
structures, magnetic gyrotropy and geometrical factors leads to the effect of
symmetry breaking resulting in effective chiral magnetic currents and
topological magnetic charges. As an intriguing fact, one can observe precessing
behavior of the electric-dipole polarization inside a ferrite disk.


title: Inference by replication in densely connected systems

abstract:
  An efficient Bayesian inference method for problems that can be mapped onto
dense graphs is presented. The approach is based on message passing where
messages are averaged over a large number of replicated variable systems
exposed to the same evidential nodes. An assumption about the symmetry of the
solutions is required for carrying out the averages; here we extend the
previous derivation based on a replica symmetric (RS) like structure to include
a more complex one-step replica symmetry breaking (1RSB)-like ansatz. To
demonstrate the potential of the approach it is employed for studying critical
properties of the Ising linear perceptron and for multiuser detection in Code
Division Multiple Access (CDMA) under different noise models. Results obtained
under the RS assumption in the non-critical regime give rise to a highly
efficient signal detection algorithm in the context of CDMA; while in the
critical regime one observes a first order transition line that ends in a
continuous phase transition point. Finite size effects are also observed. While
the 1RSB ansatz is not required for the original problems, it was applied to
the CDMA signal detection problem with a more complex noise model that exhibits
RSB behaviour, resulting in an improvement in performance.


title: Potentialities of atmospheric neutrinos

abstract:
  In this talk we will discuss the physics reach of the atmospheric neutrino
data collected by a future megaton-class neutrino detector. After a general
discussion of the potentialities of atmospheric neutrinos on general basis, we
will consider concrete experimental setups and show that synergic effects exist
between atmospheric and long-baseline neutrino data. Finally, we will show that
present Super-Kamiokande data already have the capability to allow for a direct
and unbiased measurement of the energy spectrum of the atmospheric neutrino
fluxes.


title: Interacting Quantum Topologies and the Quantum Hall Effect

abstract:
  The algebra of observables of planar electrons subject to a constant
background magnetic field B is given by A_theta(R^2) x A_theta(R^2) the product
of two mutually commuting Moyal algebras. It describes the free Hamiltonian and
the guiding centre coordinates. We argue that A_theta(R^2) itself furnishes a
representation space for the actions of these two Moyal algebras, and suggest
physical arguments for this choice of the representation space. We give the
proper setup to couple the matter fields based on A_theta(R^2) to
electromagnetic fields which are described by the abelian commutative gauge
group G_c(U(1)), i.e. gauge fields based on A_0(R^2). This enables us to give a
manifestly gauge covariant formulation of integer quantum Hall effect (IQHE).
Thus, we can view IQHE as an elementary example of interacting quantum
topologies, where matter and gauge fields based on algebras A_theta^prime with
different theta^prime appear. Two-particle wave functions in this approach are
based on A_theta(R^2) x A_theta(R^2). We find that the full symmetry group in
IQHE, which is the semi-direct product SO(2) \ltimes G_c(U(1)) acts on this
tensor product using the twisted coproduct Delta_theta. Consequently, as we
show, many particle sectors of each Landau level have twisted statistics. As an
example, we find the twisted two particle Laughlin wave functions.


title: Gaussian Approximations of Multiple Integrals

abstract:
  Fix an integer k, and let I(l), l=1,2,..., be a sequence of k-dimensional
vectors of multiple Wiener-It\^o integrals with respect to a general Gaussian
process. We establish necessary and sufficient conditions to have that, as l
diverges, the law of I(l) is asymptotically close (for example, in the sense of
Prokhorov's distance) to the law of a k-dimensional Gaussian vector having the
same covariance matrix as I(l). The main feature of our results is that they
require minimal assumptions (basically, boundedness of variances) on the
asymptotic behaviour of the variances and covariances of the elements of I(l).
In particular, we will not assume that the covariance matrix of I(l) is
convergent. This generalizes the results proved in Nualart and Peccati (2005),
Peccati and Tudor (2005) and Nualart and Ortiz-Latorre (2007). As shown in
Marinucci and Peccati (2007b), the criteria established in this paper are
crucial in the study of the high-frequency behaviour of stationary fields
defined on homogeneous spaces.


title: Motional frequency shifts of trapped ions in the Lamb-Dicke regime

abstract:
  First order Doppler effects are usually ignored in laser driven trapped ions
when the recoil frequency is much smaller than the trapping frequency
(Lamb-Dicke regime). This means that the central, carrier excitation band is
supposed to be unaffected by vibronic transitions in which the vibrational
number changes. While this is strictly true in the Lamb-Dicke limit (infinitely
tight confinement), the vibronic transitions do play a role in the Lamb-Dicke
regime. In this paper we quantify the asymptotic behaviour of their effect with
respect to the Lamb-Dicke parameter. In particular, we give analytical
expressions for the frequency shift, ``pulling'' or ``pushing'', produced in
the carrier absorption band by the vibronic transitions both for Rabi and
Ramsey schemes. This shift is shown to be independent of the initial
vibrational state.


title: Epidemic Waves, Small Worlds and Targeted Vaccination

abstract:
  The success of an infectious disease to invade a population is strongly
controlled by the population's specific connectivity structure. Here a network
model is presented as an aid in understanding the role of social behavior and
heterogeneous connectivity in determining the spatio-temporal patterns of
disease dynamics. We explore the controversial origins of long-term recurrent
oscillations believed to be characteristic to diseases that have a period of
temporary immunity after infection. In particular, we focus on sexually
transmitted diseases such as syphilis, where this controversy is currently
under review. Although temporary immunity plays a key role, it is found that in
realistic small-world networks, the social and sexual behavior of individuals
also has great influence in generating long-term cycles. The model generates
circular waves of infection with unusual spatial dynamics that depend on focal
areas that act as pacemakers in the population. Eradication of the disease can
be efficiently achieved by eliminating the pacemakers with a targeted
vaccination scheme. A simple difference equation model is derived, that
captures the infection dynamics of the network model and gives insights into
their origins and their eradication through vaccination.


title: An Infinite Family of Quadratic Quadrinomial APN Functions

abstract:
  We present an infinite family of quadratic APN functions on a finite field of
dimension over GF(2) divisible by 3.


title:
From Protein Interactions to Functional Annotation: Graph Alignment in
  Herpes

abstract:
  Sequence alignment forms the basis of many methods for functional annotation
by phylogenetic comparison, but becomes unreliable in the `twilight' regions of
high sequence divergence and short gene length. Here we perform a cross-species
comparison of two herpesviruses, VZV and KSHV, with a hybrid method called
graph alignment. The method is based jointly on the similarity of protein
interaction networks and on sequence similarity. In our alignment, we find open
reading frames for which interaction similarity concurs with a low level of
sequence similarity, thus confirming the evolutionary relationship. In
addition, we find high levels of interaction similarity between open reading
frames without any detectable sequence similarity. The functional predictions
derived from this alignment are consistent with genomic position and gene
expression data.


title: Ubiquity and a general logarithm law for geodesics

abstract:
  There are two fundamental results in the classical theory of metric
Diophantine approximation: Khintchine's theorem and Jarnik's theorem. The
former relates the size of the set of well approximable numbers, expressed in
terms of Lebesgue measure, to the behavior of a certain volume sum. The latter
is a Hausdorff measure version of the former. We start by discussing these
theorems and show that they are both in fact a simple consequence of the notion
of `local ubiquity'. The local ubiquity framework introduced here is a much
simplified and more transparent version of that in \cite{memoirs}. Furthermore,
it leads to a single local ubiquity theorem that unifies the Lebesgue and
Hausdorff theories. As an application of our framework we consider the theory
of metric Diophantine approximation on limit sets of Kleinian groups. In
particular, we obtain a general Hausdorff measure version of Sullivan's
logarithm law for geodesics -- an aspect overlooked in \cite{memoirs}.


title: Partial wave interference mechanism in gluonic dissociation of $J/\psi$

abstract:
  We explicitly take into account the effect of hydrodynamic expansion profile
on the gluonic breakup of $J/\psi$'s produced in an equilibrating parton
plasma. Attention is paid to the space-time inhomogeneities as well as Lorentz
frames while deriving new expressions for the gluon number density $n_g$,
average dissociation rate $<\tilde{\Gamma}>$, and $\psi$ survival probability
$S$. A novel type of partial wave {\em interference} mechanism is found to
operate in the formula of $<\tilde{\Gamma}>$. Nonrelativistic longitudinal
expansion fro small length of the initial cylinder is found to push the
$S(p_T)$ graph above the no flow case considered by us earlier \cite{rev1}.
However, relativistic flow corresponding to large length of the initial
cylinder pushes the curve of $S(p_T)$ downwards at LHC but upwards at RHIC.
This mutually different effect on $S(p_T)$ may be attributed to the different
initial temperatures generated at LHC and RHIC.


title: Quantum Teleportation and Von Neumann Entropy

abstract:
  The single qubit quantum teleportation (sender and receiver are Alice and Bob
respectively) is analyzed from the aspect of the quantum information theories.
The various quantum entropies are computed at each stage, which ensures the
emergence of the entangled states in the intermediate step. The mutual
information $S(B:C)$ becomes non-zero before performing quantum measurement,
which seems to be consistent to the original purpose of the quantum
teleportation. It is shown that if the teleported state $|\psi>$ is near the
computational basis, the quantum measurement in $C$-system is dominantly
responsible for the joint entropy $S(A,C)$ at the final stage. If, however,
$|\psi>$ is far from the computational basis, this dominant responsibility is
moved into the quantum measurement of system $A$. A possible extension of our
results are briefly discussed.


title:
Local current distribution at large quantum dots (QDs): a
  self-consistent screening model

abstract:
  We report the implementation of the self-consistent Thomas-Fermi screening
theory, together with the local Ohm's law to a quantum dot system in order to
obtain local current distribution within the dot and at the leads. We consider
a large dot (size
  $>700$ nm) defined by split gates, and coupled to the leads. Numerical
calculations show that the non-dissipative current is confined to the
incompressible strips. Due to the non-linear screening properties of the 2DES
at low temperatures, this distribution is highly sensitive to external magnetic
field. Our findings support the phenomenological models provided by the
experimental studies so far, where the formation of the (direct) edge channels
dominate the transport.


title:
Theoretical investigation of the electron velocity in quantum Hall bars,
  in the out of linear response regime

abstract:
  We report on our theoretical investigation of the electron velocity in
(narrow) quantum-Hall systems, considering the out-of-linear-response regime.
The electrostatic properties of the electron system are obtained by the
Thomas-Fermi-Poisson nonlinear screening theory. The electron velocity
distribution as a function of the lateral coordinate is obtained from the slope
of the screened potential within the incompressible strips (ISs). The asymmetry
induced by the imposed current on the ISs is investigated, as a function of the
current intensity and impurity concentration. We find that the width of the IS
on one side of the sample increases linearly with the intensity of the applied
current and decreases with the impurity concentration.


title:
Exploring the Protein G Helix Free Energy Surface by Solute Tempering
  Metadynamics

abstract:
  The free-energy landscape of the alpha-helix of protein G is studied by means
of metadynamics coupled with a solute tempering algorithm. Metadynamics allows
to overcome large energy barriers, whereas solute tempering improves the
sampling with an affordable computational effort. From the sampled free-energy
surface we are able to reproduce a number of experimental observations, such as
the fact that the lowest minimum corresponds to a globular conformation
displaying some degree of beta-structure, that the helical state is metastable
and involves only 65% of the chain. The calculations also show that the system
populates consistently a pi-helix state and that the hydrophobic staple motif
is present only in the free-energy minimum associated with the helices, and
contributes to their stabilization. The use of metadynamics coupled with solute
tempering results then particularly suitable to provide the thermodynamics of a
short peptide, and its computational efficiency is promising to deal with
larger proteins.


title: A Robertson-type Uncertainty Principle and Quantum Fisher Information

abstract:
  Let $A_1,...,A_N$ be complex selfadjoint matrices and let $\rho$ be a density
matrix. The Robertson uncertainty principle $$ det (Cov_\rho(A_h,A_j)) \geq det
(- \frac{i}{2} Tr (\rho [A_h,A_j])) $$ gives a bound for the quantum
generalized covariance in terms of the commutators $ [A_h,A_j]$. The right side
matrix is antisymmetric and therefore the bound is trivial (equal to zero) in
the odd case $N=2m+1$.
  Let $f$ be an arbitrary normalized symmetric operator monotone function and
let $<\cdot, \cdot >_{\rho,f}$ be the associated quantum Fisher information. In
this paper we prove the inequality $$ det (Cov_\rho (A_h,A_j)) \geq det
(\frac{f(0)}{2} < i[\rho, A_h],i[\rho,A_j] >_{\rho,f}) $$ that gives a
non-trivial bound for any $N \in {\mathbb N}$ using the commutators
$[\rho,A_h]$.


title: Magnetic properties of G-band bright points in a sunspot moat

abstract:
  We present simultaneous spectropolarimetric observations of four visible and
three infrared spectral lines from the VTT (Tenerife), together with
speckle-reconstructed filtergrams in the G band and the CaII H line core from
the DOT (La Palma). After alignment of the data sets, we used the G-band
intensity to locate bright points (BPs) in the moat of a regular sunspot. With
the cospatial and cotemporal information provided by the polarimetric data, we
characterize the magnetic, kinematic, and thermal properties of the BPs. We
find that (a) 94 % of the BPs are associated with magnetic fields; (b) their
field strengths range between 500 and 1400 G, with a rather flat distribution;
(c) the contrast of BPs in the G band depends on the angle between the vector
magnetic field and the line of sight; (d) the BPs harbor downflows of
magnetized plasma and exhibit Stokes V profiles with large area and amplitude
asymmetries; (e) the magnetic interior of BPs is hotter than the immediate
field-free surroundings by about 1000 K at equal optical depth; and (f) the
mean effective diameter of BPs in our data set is 150 km, with very few BPs
larger than 300 km. Most of these properties can be explained by the classical
magnetic flux tube model. However, the wide range of BP parameters found in
this study indicates that not all G-band BPs are identical to stable long-lived
flux tubes or sheets of kG strength.


title:
Condensate and superfluid fractions for varying interactions and
  temperature

abstract:
  A system with Bose-Einstein condensate is considered in the frame of the
self-consistent mean-field approximation, which is conserving, gapless, and
applicable for arbitrary interaction strengths and temperatures. The main
attention is paid to the thorough analysis of the condensate and superfluid
fractions in a wide region of interaction strengths and for all temperatures
between zero and the critical point T_c. The normal and anomalous averages are
shown to be of the same order for almost all interactions and temperatures,
except the close vicinity of T_c. But even in the vicinity of the critical
temperature, the anomalous average cannot be neglected, since only in the
presence of the latter the phase transition at T_c becomes of second order, as
it should be. Increasing temperature influences the condensate and superfluid
fractions in a similar way, by diminishing them. But their behavior with
respect to the interaction strength is very different. For all temperatures,
the superfluid fraction is larger than the condensate fraction. These coincide
only at T_c or under zero interactions. For asymptotically strong interactions,
the condensate is almost completely depleted, even at low temperatures, while
the superfluid fraction can be close to one.


title:
Unparticle effect on B_s - \bar B_s mixing and its implications for B_s
  \to J/\psi \phi, \phi \phi decays

abstract:
  We study the effect of unparticle stuff on $B_s - \bar{B}_s$ mixing and
consider possible implications of it for the decaymodes $B_s \to J/\psi \phi$
and $\phi \phi$. We find that due to the new contributions from the unparticles
the $B_s - \bar{B}_s$ mixing phase could be observable at the LHC along with
the possible sizable CP asymmetry parameters $S_{\psi \phi(\phi \phi)}$ in $B_s
\to J/\psi \phi(\phi \phi)$ decay modes.


title:
Estimation of time delays from two blended light curves of gravitational
  lenses

abstract:
  Long time photometric monitoring programs of gravitational lens systems are
often carried on using modest equipment. The resolution of such observations is
limited and some of the images may remain unresolved. It may be still possible
to find a full set of time delays from such a blended data. We discuss here a
particular but interesting case when we have two light curves that both are
blends. A suitable computational algorithm is developed and tested to work with
computer-generated model light curves. Our method combines both blended
sequences using the hypothetical time delays between the initial components of
the light curves as free input parameters. The combined curves are then
compared using statistical distance estimation. It occurs that using an
assumption of equal magnification ratios between the components of the blends,
we can indeed recover the whole set of time delays.


title:
Microwave whirlpools in a rectangular-waveguide cavity with a thin
  ferrite disk

abstract:
  We study a three dimensional system of a rectangular-waveguide resonator with
an inserted thin ferrite disk. The interplay of reflection and transmission at
the disk interfaces together with material gyrotropy effect, gives rise to a
rich variety of wave phenomena. We analyze the wave propagation based on full
Maxwell-equation numerical solutions of the problem. We show that the
power-flow lines of the microwave-cavity field interacting with a ferrite disk,
in the proximity of its ferromagnetic resonance, form whirlpool-like
electromagnetic vortices. Such vortices are characterized by the dynamical
symmetry breaking. The role of ohmic losses in waveguide walls and dielectric
and magnetic losses in a disk is a subject of our investigations.


title:
Geometric Suppression of Single-Particle Energy Spacings in Quantum
  Antidots

abstract:
  Quantum Antidot (AD) structures have remarkable properties in the integer
quantum Hall regime, exhibiting Coulomb-blockade charging and the Kondo effect
despite their open geometry. In some regimes a simple single-particle (SP)
model suffices to describe experimental observations while in others
interaction effects are clearly important, although exactly how and why
interactions emerge is unclear. We present a combination of experimental data
and the results of new calculations concerning SP orbital states which show how
the observed suppression of the energy spacing between states can be explained
through a full consideration of the AD potential, without requiring any effects
due to electron interactions such as the formation of compressible regions
composed of multiple states, which may occur at higher magnetic fields. A full
understanding of the regimes in which these effects occur is important for the
design of devices to coherently manipulate electrons in edge states using AD
resonances.


title:
Infected surfaces of vehicles as possible way of people's infection by
  bird flu pathogenic culture

abstract:
  Possible variant of people's infection by bird flu pathogenic culture in
passing of everyday infection is presented in the work: through the contact of
open parts of the skin with infected surfaces of the vehicle, that is the
sequent of the reused water, which contains all species spectrum of pathogen
accumulated on the urban areas, used in process of washing