title:
A Detailed Analytic Study of the Asymptotic Quasinormal Modes of
  Schwarzschild-Anti De Sitter Black Holes

abstract:
  We analyze analytically the asymptotic regions of the quasinormal mode
frequency spectra with infinitely large overtone numbers for $D$-dimensional
Schwarzschild black holes in anti de Sitter spacetimes. In this limit, we
confirm the analytic results obtained previously in the literature using
different methods. In addition, we show that in certain spacetime dimensions
these techniques imply the existence of other regions of the asymptotic
quasinormal mode frequency spectrum which have not previously appeared in the
literature. For large black holes, some of these modes have a damping rate of
$1.2T_H$, where $T_H$ is the Hawking temperature. This is less than the damping
rate of the lowest overtone quasinormal mode calculated by other authors. It is
not completely clear whether these modes actually exist or are an artifact of
an unknown flaw in the analytic techniques being used. We discuss the
possibility of the existence of these modes and explore some of the
consequences. We also examine the possible connection between the asymptotic
quasinormal modes of Schwarzschild-anti de Sitter black holes and the quantum
level spacing of their horizon area spectrum.


title:
Vacuum static compactified wormholes in eight-dimensional Lovelock
  theory

abstract:
  In this paper new exact solutions in eight dimensional Lovelock theory will
be presented. These solutions are vacuum static wormhole, black hole and
generalized Bertotti-Robinson space-times with nontrivial torsion. All the
solutions have a cross product structure of the type $M_{5}\times \Sigma_{3} $
where $M_{5}$ is a five dimensional manifold and $\Sigma_{3}$ a compact
constant curvature manifold. The wormhole is the first example of a smooth
vacuum static Lovelock wormhole which is neither Chern-Simons nor Born-Infeld.
It will be also discussed how the presence of torsion affects the
"navigableness" of the wormhole for scalar and spinning particles. It will be
shown that the wormhole with torsion may act as "geometrical filter": a very
large torsion may "increase the traversability" for scalars while acting as a
"polarizator" on spinning particles. This may have interesting phenomenological
consequences.


title:
Precision Southern Hemisphere pulsar VLBI astrometry: techniques and
  results for PSR J1559-4438

abstract:
  We describe a data reduction pipeline for VLBI astrometric observations of
pulsars, implemented using the ParselTongue AIPS interface. The pipeline
performs calibration (including ionosphere modeling), phase referencing with
proper accounting of reference source structure, amplitude corrections for
pulsar scintillation, and position fitting to yield the position, proper motion
and parallax. The optimal data weighting scheme to minimize the total error
budget of a parallax fit, and how this scheme varies with pulsar parameters
such as flux density, is also investigated. The robustness of the techniques
employed are demonstrated with the presentation of the first results from a two
year astrometry program using the Australian Long Baseline Array (LBA). The
parallax of PSR J1559-4438 is determined to be 0.384 +- 0.081 mas (1 sigma),
resulting in a distance estimate of 2600 pc which is consistent with earlier DM
and HI absorption estimates.


title: Finding cores of random 2-SAT formulae via Poisson cloning

abstract:
  For the random 2-SAT formula $F(n,p)$, let $F_C (n,p)$ be the formula left
after the pure literal algorithm applied to $F(n,p)$ stops. Using the recently
developed Poisson cloning model together with the cut-off line algorithm
(COLA), we completely analyze the structure of $F_{C} (n,p)$. In particular, it
is shown that, for $\gl:= p(2n-1) = 1+\gs $ with $\gs\gg n^{-1/3}$, the core of
$F(n,p)$ has $\thl^2 n +O((\thl n)^{1/2})$ variables and $\thl^2 \gl n+O((\thl
n))^{1/2}$ clauses, with high probability, where $\thl$ is the larger solution
of the equation $\th- (1-e^{-\thl \gl})=0$. We also estimate the probability of
$F(n,p)$ being satisfiable to obtain $$ \pr[ F_2(n, \sfrac{\gl}{2n-1}) is
satisfiable ] = \caseth{1-\frac{1+o(1)}{16\gs^3 n}}{if $\gl= 1-\gs$ with
$\gs\gg n^{-1/3}$}{}{}{e^{-\Theta(\gs^3n)}}{if $\gl=1+\gs$ with $\gs\gg
n^{-1/3}$,} $$ where $o(1)$ goes to 0 as $\gs$ goes to 0. This improves the
bounds of Bollob\'as et al. \cite{BBCKW}.


title:
Exactness in the Path Integral of the Coulomb Potential in One Space
  Dimension

abstract:
  We solve time-sliced path integrals of one-dimensional Coulomb system in an
exact manner. In formulating path integrals, we make use of the Duru-Kleinert
transformation with Fujikawa's gauge theoretical technique. Feynman kernels in
the momentum representation both for bound states and scattering states will be
obtained with clear pole structure that explains the exactness of the path
integral. The path integrals presented here can be, therefore, evaluated
exactly by making use of Cauchy's integral theorem.


title:
Second order hydrodynamics of a CFT plasma from boost invariant
  expansion

abstract:
  We compute finite coupling correction to a nonlinear second order
hydrodynamic coefficient in the boost invariant expansion of the N=4
supersymmetric Yang-Mills plasma. The result is universal for a large class of
strongly coupled four dimensional conformal gauge theories.


title: Proposal for a geophysical search for dilatonic waves

abstract:
  We propose a new method of searching for the composition-dependent dilatonic
waves, predicted by unified theories of strings. In this method, Earth's
surface-gravity changes due to translational motions of its inner core, excited
by dilatonic waves, are searched for by using superconducting gravimeters. This
method has its best sensitivity at the frequency of $\sim$ 7 $\times$ 10$^{-5}$
Hz, which is lower than the sensitive frequencies of previous proposals using
gravitational-wave detectors: $\sim$ 10 to 1000 Hz. Using available results of
surface-gravity measurements with superconducting gravimeters and assuming a
simple Earth model, we present preliminary upper limits on the energy density
of a stochastic background of massless dilatons at the low frequency. Though
the results are currently limited by the uncertainty in the Earth model, this
method has a potential of detecting dilatonic waves in a new window.


title: Correlation potential and ladder diagrams

abstract:
  The all-order correlation potential method of accurate atomic structure
calculations for atoms with one external electron is extended to include one
more class of correlation diagrams to all orders. These are the so-called
ladder diagrams which describe residual Coulomb interaction between an external
electron and atomic core. This is in addition to the screening of Coulomb
interaction by core electrons and the hole-particle interaction in the core
polarization operator which are also included in all orders. Calculations of
the energies of the lowest $s$, $p$ and $d$ states of cesium and thallium show
that inclusion of the ladder diagrams leads to significant improvement of the
accuracy of the calculations. The discrepancy between theoretical and
experimental energies is reduced to a small fraction of a per cent in all
cases. This widens the range of atoms and atomic states for which the
correlation potential method can produce very accurate results.


title:
A fusion of the LAPW and the LMTO methods: the augmented plane wave plus
  muffin-tin orbital (PMT) method

abstract:
  We present a new full-potential method to solve the one-body problem, for
example, in the local density approximation. The method uses the augmented
plane waves (APWs) and the generalized muffin-tin orbitals (MTOs) together as
basis sets to represent the eigenfunctions. Since the MTOs can efficiently
describe localized orbitals, e.g, transition metal 3$d$ orbitals, the total
energy convergence with basis size is drastically improved in comparison with
the linearized APW method. Required parameters to specify MTOs are given by
atomic calculations in advance. Thus the robustness, reliability, easy-of-use,
and efficiency at this method can be superior to the linearized APW and MTO
methods. We show how it works in typical examples, Cu, Fe, Li, SrTiO$_3$, and
GaAs.


title:
Addressing the Multi-Channel Inverse Problem at High Energy Colliders: A
  Model Independent Approach to the Search for New Physics with Trileptons

abstract:
  We describe a method for interpreting trilepton searches at high energy
colliders in a model-independent fashion and apply it to the recent searches at
the Tevatron. The key step is to recognize that the trilepton signature is
comprised of four experimentally very different channels defined by the number
of tau-leptons in the trilepton state. Contributions from these multiple
channels to the overall experimental sensitivity (cross section times branching
ratio) are model-independent and can be parametrized in terms of relevant new
particle masses. Given the trileptonic branching ratios of a specific model,
these experimentally obtained multichannel sensitivities can be combined to
obtain a cross section measurement that can be used to confront the model with
data. Our model-independent results are more widely applicable than the current
Tevatron trilepton results which are stated exclusively in terms of mSUGRA
parameters of supersymmetry. The technique presented here can be expanded
beyond trilepton searches to the more general "inverse problem" of
experimentally discriminating between competing models that seek to explain new
physics discovered in multiple channels.


title:
A Study of the Cyclotron Gas-Stopping Concept for the Production of Rare
  Isotope Beams

abstract:
  The proposed cyclotron gas-stopping scheme for the efficient thermalization
of intense rare isotope beams is examined. Simulations expand on previous
studies and expose many complications of such an apparatus arising from
physical effects not accounted for properly in previous work. The previously
proposed cyclotron gas-stopper geometry is found to have a near null
efficiency, but extended simulations suggest that a device with a much larger
pole gap could achieve a stopping efficiency approaching roughly 90% and at
least a 10 times larger acceptance. However, some of the advantages that were
incorrectly predicted in previous simulations for high intensity operation of
this device are compromised.


title:
Experimental studies of the internal Goos-Hanchen shift for
  self-collimated beams in two-dimensional microwave photonic crystals

abstract:
  We study experimentally the Goos-Hanchen effect observed at the reflection of
a self-collimated beam from the surface of a two-dimensional photonic crystal
and describe a method for controlling the beam reflection through surface
engineering. The microwave photonic crystal, fabricated from alumina rods,
allows control of the output position of a reflected beam undergoing an
internal Goos-Hanchen shift by changing the rod diameter at the reflection
surface. The experimental data is in good agreement with the results of the
finite-difference time-domain numerical calculations.


title: Charmed baryon in a Diquark model

abstract:
  A diquark model is used to investigate single charmed baryons. In this model,
baryon is composed of two diquarks and an antiquark. Masses of lowest lying
states with $J^P= 1/2 ^ \pm$ are obtained. Some masses are smaller than other
theoretic predictions which indicates that these baryons of pentaquark
structure could be relatively stable. The results also show that
$\Lambda(2882)$ may be a pentaquark with $J^P=1/2^-$ and $\Xi(3125)$ may be a
pentaquark with $J^P=1/2^+$.


title: A Tale of Three Kernels

abstract:
  We consider the Bergman, Szeg\H{o}, and Poisson Szeg\H{o} kernels on a domain
in $\CC$ or $\CC^n$. Various properties and relationships are established. The
paper has both an expository component and a research component.


title: Quantum chaotic systems with arbitrarily large Ehrenfest times

abstract:
  A class of time independent and physically meaningful Hamiltonians leads to
evolution of observable quantities whose Ehrenfest times are arbitrarily large.
This fact contradicts the popular claim that the true chaos is in quantum
mechanics excluded by first principles.


title: Filaments in Galactic Winds Driven by Young Stellar Clusters

abstract:
  The starburst galaxy M82 shows a system of H$\alpha$-emitting filaments which
extend to each side of the galactic disk. We model these filaments as the
result of the interaction between the winds from a distribution of Super
Stellar Clusters (SSCs). We first derive the condition necessary for producing
a radiative interaction between the cluster winds (a condition which is met by
the SSC distribution of M82). We then compute 3D simulations for SSC wind
distributions which satisfy the condition for a radiative interaction, and also
for distributions which do not satisfy this condition. We find that the highly
radiative models, that result from the interaction of high metallicity cluster
winds, produce a structure of H$\alpha$ emitting filaments, which qualitatively
agrees with the observations of the M82, while the non-radiative SSC wind
interaction models do not produce filamentary structures. Therefore, our
criterion for radiative interactions (which depends on the mass loss rate and
the terminal velocity of the SSC winds, and the mean separation between SSCs)
can be used to predict whether or not an observed galaxy should have associated
H$\alpha$ emitting filaments.


title: Detecting groups of similar components in complex networks

abstract:
  We study how to detect groups in a complex network each of which consists of
component nodes sharing a similar connection pattern. Based on the mixture
models and the exploratory analysis set up by Newman and Leicht (Newman and
Leicht 2007 {\it Proc. Natl. Acad. Sci. USA} {\bf 104} 9564), we develop an
algorithm that is applicable to a network with any degree distribution. The
partition of a network suggested by this algorithm also applies to its
complementary network. In general, groups of similar components are not
necessarily identical with the communities in a community network; thus
partitioning a network into groups of similar components provides additional
information of the network structure. The proposed algorithm can also be used
for community detection when the groups and the communities overlap. By
introducing a tunable parameter that controls the involved effects of the
heterogeneity, we can also investigate conveniently how the group structure can
be coupled with the heterogeneity characteristics. In particular, an
interesting example shows a group partition can evolve into a community
partition in some situations when the involved heterogeneity effects are tuned.
The extension of this algorithm to weighted networks is discussed as well.


title: Graphite intercalation compound KC$_8$ revisited: a key to graphene

abstract:
  Electrons in isolated graphene layers are a two-dimensional gas of massless
Dirac Fermions. In realistic devices, however, the electronic properties are
modified by elastic deformations, interlayer coupling and substrate
interaction. Here we unravel the electronic structure of doped graphene,
revisiting the stage one graphite intercalation compound KC$_8$ using
angle--resolved photoemission spectroscopy and ab--initio calculations. The
full experimental dispersion is in excellent agreement to calculations of doped
graphene once electron correlations are included on the $GW$ level. This
highlights that KC$_8$ has negligible interlayer coupling. Therefore Dirac
Fermion behaviour is preserved and we directly determine the full experimental
Dirac cone of doped graphene. In addition we prove that superconductivity in
KC$_8$ is mediated by electron--phonon coupling to an iTO phonon, yielding a
strong kink in the quasiparticle dispersion at 166 meV. These results are key
for understanding, both, the unique electronic properties of graphene and
superconductivity in KC$_8$.


title: Maximal Sets of Mutually Unbiased Quantum States in Dimension Six

abstract:
  We study sets of pure states in a Hilbert space of dimension d which are
mutually unbiased (MU), that is, the squares of the moduli of their scalar
products are equal to zero, one, or 1/d. These sets will be called a MU
constellation, and if four MU bases were to exist for d=6, they would give rise
to 35 different MU constellations. Using a numerical minimisation procedure, we
are able to identify only 18 of them in spite of extensive searches. The
missing MU constellations provide the strongest numerical evidence so far that
no seven MU bases exist in dimension six.


title: Instability of hyper-compact Kerr-like objects

abstract:
  Viable alternatives to astrophysical black holes include hyper-compact
objects without horizon, such as gravastars, boson stars, wormholes and
superspinars. The authors have recently shown that typical rapidly-spinning
gravastars and boson stars develop a strong instability. That analysis is
extended in this paper to a wide class of horizonless objects with approximate
Kerr-like geometry. A detailed investigation of wormholes and superspinars is
presented, using plausible models and mirror boundary conditions at the
surface. Like gravastars and boson stars, these objects are unstable with very
short instability timescales. This result strengthens previous conclusions that
observed hyper-compact astrophysical objects with large rotation are likely to
be black holes.


title: Manin's conjecture for quartic del Pezzo surfaces with a conic fibration

abstract:
  An asymptotic formula is established for the number of rational points of
bounded height on a non-singular quartic del Pezzo surface with a conic bundle
structure.


title: Continuity Points of Typical Bounded Functions

abstract:
  Kostyrko and Salat showed that if a linear space of bounded functions has an
element that is discontinuous almost everywhere, then a typical element in the
space is discontinuous almost everywhere. We give a topological analogue of
this theorem and provide some examples.


title: Quantum computation with graphene nanoribbon

abstract:
  We propose a scalable scheme to implement quantum computation in graphene
nanoribbon. It is shown that electron or hole can be naturally localized in
each zigzag region for a graphene nanoribbon with a sequence of Z-shaped
structure without exploiting any confined gate. An one-dimensional graphene
quantum dots chain is formed in such graphene nanoribbon, where electron or
hole spin can be encoded as qubits. The coupling interaction between
neighboring graphene quantum dots is found to be always-on Heisenberg type.
Applying the bang-bang control strategy and decoherence free subspaces encoding
method, universal quantum computation is argued to be realizable with the
present techniques.


title:
Coupled Painlev\'e systems with affine Weyl group symmetry of types
  $A_7^{(2)},A_5^{(2)}$ and $D_4^{(3)}$

abstract:
  We find a four-parameter family of coupled Painlev\'e VI systems in dimension
four with affine Weyl group symmetry of type $A_7^{(2)}$. This is the first
example which gave higher-order Painlev\'e equations of type $A_{2l+5}^{(2)}$.
We then give an explicit description of a confluence process from this system
to a 3-parameter family of coupled Painlev\'e V and III systems in dimension
four with $W(A_5^{(2)})$-symmetry. For a degenerate system of $A_5^{(2)}$
system, we also find a two-parameter family of ordinary differential systems in
dimension four with affine Weyl group symmetry of type $D_4^{(3)}$. This is the
first example which gave higher-order Painlev\'e equations of type $D_4^{(3)}$.
We show that for each system, we give its symmetry and holomorphy conditions.
These symmetries, holomorphy conditions and invariant divisors are new.


title: Effect of self-affine fractal characteristics of surfaces on wetting

abstract:
  The relation between the contact angle of a liquid drop and the morphological
parameters of self-affine solid surfaces have been investigated. We show
experimentally that the wetting property of a solid surface crucially depends
on the surface morphological parameters such as: (1) root mean square (rms)
roughness $\sigma$, (2) in-plane roughness correlation length $\xi$ and (3)
roughness exponent $\alpha$ of the self-affine surface. We have shown that the
contact angle monotonically decreases with the increase in the rms local
surface slope $\rho$ ($\propto \sigma/\xi^\alpha$) for the cases where the
liquid wets the crevices of the surface upon contact. We have shown that the
same solid surface can be made hydrophobic or hydrophilic by merely tuning
these self-affine surface morphological parameters.


title:
Optically induced energy and spin transfer in non-resonantly coupled
  pairs of self-assembled CdTe/ZnTe quantum dots

abstract:
  Asymmetrical horizontal interdot coupling was demonstrated to exist in a
system of a single plane of self-assembled CdTe/ZnTe quantum dots.
Photoluminescence excitation (PLE), second order photon correlation and optical
orientation were used as main experimental tools. Each individual absorbing dot
was identified by a sharp PLE resonance, assigned to neutral exciton
transition, while the corresponding emission contained several excitonic
transitions of different charge states in another single quantum dot different
from the absorbing one. Energy and spin transfer dynamics were studied. A high
efficiency of spin transfer was found from optical orientation in a vertical
magnetic field (70%) as well as without the magnetic field (40%), in spite of a
significant anisotropic exchange splitting of the absorbing dot. Coherent
mechanism of linear-to-circular polarization conversion was identified, with an
efficiency (43%) close to the theoretical limit of 50%.


title:
The nonlinear Schr\"odinger equations with combined nonlinearities of
  power-type and Hartree

abstract:
  This paper is devoted to a comprehensive study of the nonlinear Schr\"odinger
equations with combined nonlinearities of the power-type and Hartree-type in
any dimension n\ge3. With some structural conditions, a nearly whole picture of
the interactions of these nonlinearities in the energy space is given. The
method is based on the Morawetz estimates and perturbation principles.


title: Electrostatics of surface-electrode ion traps

abstract:
  Surface-electrode (SE) rf traps are a promising approach to manufacturing
complex ion-trap networks suitable for large-scale quantum information
processing. In this paper we present analytical methods for modeling SE traps
in the gapless plane approximation, and apply these methods to two particular
classes of SE traps. For the SE ring trap we derive analytical expressions for
the trap geometry and strength, and also calculate the depth in the absence of
control fields. For translationally symmetric multipole configurations (analogs
of the linear Paul trap), we derive analytical expressions for electrode
geometry and strength. Further, we provide arbitrarily good approximations of
the trap depth in the absence of static fields and identify the requirements
for obtaining maximal depth. Lastly, we show that the depth of SE multipoles
can be greatly influenced by control fields.


title: Acoustic black holes in a two-dimensional "photon-fluid"

abstract:
  Optical field fluctuations in self-defocusing media can be described in terms
of sound waves in a 2D photon-fluid. It is shown that, while the background
fluid couples with the usual flat metric, sound-like waves experience an
effective curved spacetime determined by the physical properties of the flow.
In an optical cavity configuration, the background spacetime can be suitably
controlled by the driving beam allowing the formation of acoustic ergoregions
and event horizons. An experiment simulating the main features of the rotating
black hole geometry is proposed.


title:
Exclusive heavy quarkonium + gamma production from e+ e- annihilation
  into a virtual photon

abstract:
  We compute the cross section for exclusive production of a photon associated
with a heavy quarkonium H of charge-conjugation parity C=+1 from e+ e-
annihilation into a virtual photon at the center-of-momentum energy
root-s=10.58 GeV. The NRQCD factorization formulas for the differential and
total cross sections are obtained at leading order in the strong coupling and
in the relative velocity of the heavy quark in the quarkonium rest frame. The
predicted cross sections for the S-wave spin-singlet cases are about 80 fb and
50 fb for H = eta_c and eta_c(2S), respectively. Among P-wave spin-triplet
charmonia, chi_{c1} has a particularly large cross section of about 14 fb. The
cross sections for bottomonium states eta_b and chi_{bJ} are about 3 fb. A
rough estimate of the background reveals that the signal significances for
charmonium processes are sufficiently large enough to be detected with ease
with the integrated luminosities available at the present B factories.


title:
Discussions on a special static spherically symmetric perfect fluid
  solution of Einstein's equations

abstract:
  In this article, a special static spherically symmetric perfect fluid
solution of Einstein's equations is provided. Though pressure and density both
diverge at the origin, their ratio remains constant. The solution presented
here fails to give positive pressure but nevertheless, it satisfies all energy
conditions. In this new spacetime geometry, the metric becomes singular at some
finite value of radial coordinate although, by using isotropic coordinates,
this singularity could be avoided, as has been shown here. Some characteristics
of this solution are also discussed.


title: Quasi-commutative algebras

abstract:
  We characterise algebras commutative with respect to a Yang-Baxter operator
(quasi-commutative algebras) in terms of certain cosimplicial complexes. In
some cases this characterisation allows the classification of all possible
quasi-commutative structures.


title: Doubly special relativity and translation invariance

abstract:
  We propose a new interpretation of doubly special relativity (DSR) based on
the distinction between the momentum and the translation generators in its
phase space realization. We also argue that the implementation of DSR theories
does not necessarily require a deformation of the Lorentz symmetry, but only of
the translation invariance.


title: Purity of level m stratifications

abstract:
  Let $k$ be a field of characteristic $p>0$. Let $D_m$ be a $\BT_m$ over $k$
(i.e., an $m$-truncated Barsotti--Tate group over $k$). Let $S$ be a\break
$k$-scheme and let $X$ be a $\BT_m$ over $S$. Let $S_{D_m}(X)$ be the subscheme
of $S$ which describes the locus where $X$ is locally for the fppf topology
isomorphic to $D_m$. If $p\ge 5$, we show that $S_{D_m}(X)$ is pure in $S$
i.e., the immersion $S_{D_m}(X) \hookrightarrow S$ is affine. For
$p\in\{2,3\}$, we prove purity if $D_m$ satisfies a certain property depending
only on its $p$-torsion $D_m[p]$. For $p\ge 5$, we apply the developed
techniques to show that all level $m$ stratifications associated to Shimura
varieties of Hodge type are pure.


title: From inflation to late acceleration: A new cosmological paradigm

abstract:
  A new idea of deriving a cosmological term from an underlying theory has been
proposed in order to explain the expansion history of the universe. We obtain
the scale factor with this derived cosmological term and demonstrate that it
reflects all the characteristics of the expanding universe in different era so
as to result in a transition from inflation to late acceleration through
intermediate decelerating phases by this single entity. We further discuss
certain observational aspects of this paradigm.


title:
Non-compact QED3 at finite temperature: the confinement-deconfinement
  transition

abstract:
  The confinement-deconfinement phase transition is explored by lattice
numerical simulations in non-compact (2+1)-dimensional quantum electrodynamics
with massive fermions at finite temperature. The existence of two phases, one
with and the other without confinement of fractional charges, is related to the
realization of the Z symmetry. The order parameter of this transition can be
clearly identified. We show that it is possible to detect the critical
temperature for a given value of the fermion mass, by exploiting suitable
lattice operators as probes of the Z symmetry. Moreover, the large-distance
behavior of the correlation of these operators permits to distinguish the phase
with Coulomb-confinement from the Debye-screened phase. The resulting scenario
is compatible with the existence of a Berezinsky-Kosterlitz-Thouless
transition. Some investigations are presented on the possible relation between
chiral and deconfinement transitions and on the role of ``monopoles''.


title: Networks of quantum nanorings: programmable spintronic devices

abstract:
  An array of quantum rings with local (ring by ring) modulation of the spin
orbit interaction (SOI) can lead to novel effects in spin state transformation
of electrons. It is shown that already small (3x3, 5x5) networks are remarkably
versatile from this point of view: Working in a given network geometry, the
input current can be directed to any of the output ports, simply by changing
the SOI strengths by external gate voltages. Additionally, the same network
with different SOI strengths can be completely analogous to the Stern-Gerlach
device, exhibiting spatial-spin entanglement.


title: Proper motions of field L and T dwarfs -II

abstract:
  By using images taken with WFCAM on UKIRT and SofI on the NTT and combining
them with 2MASS we have measured proper motions for 126 L and T dwarfs in the
dwarf archive. Two of these L dwarfs appear to have M dwarf common proper
motion companions, and 2 also appear to be high velocity dwarfs, indicating
possible membership of the thick disc. We have also compared the motion of
these 126 objects to that of numerous moving groups, and have identified new
members of the Hyades, Ursa Major and Pleiades moving groups. These new
objects, as well as those identified in Jameson et al. (2008) have allowed us
to refine the L dwarf sequence for Ursa Major that was defined by Jameson et
al. (2008).


title:
A new equation for the mid-plane potential of power law discs. II. Exact
  solutions and approximate formulae

abstract:
  The first-order ordinary differential equation (ODE) that describes the
mid-plane gravitational potential in flat finite size discs in which the
surface density is a power-law function of the radius R with exponent s (Hur\'e
& Hersant 2007) is solved exactly in terms of infinite series. The formal
solution of the ODE is derived and then converted into a series representation
by expanding the elliptic integral of the first kind over its modulus before
analytical integration. Inside the disc, the gravitational potential consists
of three terms: a power law of radius R with index 1+s, and two infinite series
of the variables R and 1/R. The convergence of the series can be accelerated,
enabling the construction of reliable approximations. At the lowest-order, the
potential inside large astrophysical discs (s ~ -1.5 +/- 1) is described by a
very simple formula whose accuracy (a few percent typically) is easily
increased by considering successive orders through a recurrence. A basic
algorithm is given. Applications concern all theoretical models and numerical
simulations where the influence of disc gravity must be checked and/or reliably
taken into account.


title:
Resonant Transmission of Electromagnetic Fields through Subwavelength
  Zero-$\epsilon$ Slits

abstract:
  We theoretically investigate the transmission of electromagnetic radiation
through a metal plate with a zero-$\epsilon$ metamaterial slit, where the
permittivity tends towards zero over a given bandwidth. Our analytic results
demonstrate that the transmission coefficient can be substantial for a broad
range of slit geometries, including subwavelength widths that are many
wavelengths long. This novel resonant effect has features quite unlike the
Fabry-P\'{e}rot-like resonances that have been observed in conductors with deep
channels. We further reveal that these high impedance ultranarrow
zero-$\epsilon$ channels can have significantly {\it greater} transmission
compared to slits with no wave impedance difference across them.


title: Electronic properties of the armchair graphene nanoribbon

abstract:
  We investigate the electronic band structure of an undoped graphene armchair
nanoribbon. We demonstrate that such nanoribbon always has a gap in its
electronic spectrum. Indeed, even in the situations where simple
single-electron calculations predict a metallic dispersion, the system is
unstable with respect to the deformation of the carbon-carbon bonds dangling at
the edges of the armchair nanoribbon. The edge bonds' deformation couples
electron and hole states with equal momentum. This coupling opens a gap at the
Fermi level. In a realistic sample, however, it is unlikely that this
instability could be observed in its pure form. Namely, since chemical
properties of the dangling carbon atoms are different from chemical properties
of the atoms inside the sample (for example, the atoms at the edge have only
two neighbours, besides additional non-carbon atoms might be attached to
passivate unpaired covalent carbon bonds), it is very probable that the bonds
at the edge are deformed due to chemical interactions. This chemically-induced
modification of the nanoribbon's edges can be viewed as an effective field
biasing our predicted instability in a particular direction. Yet by disordering
this field (e.g., through random substitution of the radicals attached to the
edges) we may tune the system back to the critical regime and vary the
electronic properties of the system. For example, we show that electrical
transport through a nanoribbon is strongly affected by such disorder.


title: Near-infrared wavefront sensing for the VLT interferometer

abstract:
  The very large telescope (VLT) interferometer (VLTI) in its current operating
state is equipped with high-order adaptive optics (MACAO) working in the
visible spectrum. A low-order near-infrared wavefront sensor (IRIS) is
available to measure non-common path tilt aberrations downstream the high-order
deformable mirror. For the next generation of VLTI instrumentation, in
particular for the designated GRAVITY instrument, we have examined various
designs of a four channel high-order near-infrared wavefront sensor. Particular
objectives of our study were the specification of the near-infrared detector in
combination with a standard wavefront sensing system. In this paper we present
the preliminary design of a Shack-Hartmann wavefront sensor operating in the
near-infrared wavelength range, which is capable of measuring the wavefronts of
four telescopes simultaneously. We further present results of our design study,
which aimed at providing a first instrumental concept for GRAVITY.


title:
Executive Summary of the Workshop on Polarisation and Beam Energy
  Measurements at the ILC

abstract:
  This note summarizes the results of the "Workshop on Polarisation and Beam
Energy Measurements at the ILC", held at DESY (Zeuthen) April 9-11 2008. The
topics for the workshop included (i) physics requirements, (ii) polarised
sources and low energy polarimetry, (iii) BDS polarimeters, (iv) BDS energy
spectrometers, and (v) physics-based measurements of beam polarisation and beam
energy from collider data. Discussions focused on the current ILC baseline
programme as described in the Reference Design Report (RDR), which includes
physics runs at beam energies between 100 and 250 GeV, as well as calibration
runs on the Z-pole. Electron polarisation of P_e- >~ 80% and positron
polarisation of P_e+ >~ 30% are part of the baseline configuration of the
machine. Energy and polarisation measurements for ILC options beyond the
baseline, including Z-pole running and the 1 TeV energy upgrade, were also
discussed.


title: Is "Spike" a Reliable Feature in Porb Distribution of AM HER Stars?

abstract:
  Orbital periods in AM Her stars (polars) are synchronized with spin periods
of white dwarf by its high magnetic field. Since the last study of Porb
distribution of these systems, the number of known objects of such type has
more than doubled. This challenged us to compile a new updated catalogue of
cataclysmic variables with highly magnetic white dwarfs (polars) and to study
their Porb distribution. In this paper we also discus if "spike" is reliable
feature in the distribution. ("Spike" is a concentration of polars in the
distribution of their orbital periods near Porb = 114 min and was previously
discussed by Ritter & Kolb (1992) and Shahbaz & Wood (1996).)


title: Decoherence-free quantum information in Markovian systems

abstract:
  Decoherence in Markovian systems can result indirectly from the action of a
system Hamiltonian which is usually fixed and unavoidable. Here, we show that
in general in Markovian systems, because of the system Hamiltonian, quantum
information decoheres. We give conditions for the system Hamiltonian that must
be satisfied if coherence is to be preserved. Finally, we show how to construct
robust subspaces for quantum information processing.


title:
Characterization Of any Non-linear Boolean function Using A Set of
  Linear Operators

abstract:
  Global dynamics of a non-linear Cellular Automata is, in general irregular,
asymmetric and unpredictable as opposed to that of a linear CA, which is highly
systematic and tractable. In the past efforts have been made to systematize
non-linear CA evolutions in the light of Boolean derivatives and Jacobian
Matrices. In this paper two different efforts have been made: first we try to
systematize non-linear CA evolution in the light of deviant states and
non-deviant states. For all the non-deviant states the nearest linear rule
matrix is applicable where as for the deviant states we have a set of other
matrices. Second using algebraic manipulation, an efficient algorithm is
proposed by which every Non-linear Boolean function can be characterized by a
sequence of binary matrices.


title:
Exactly Solvable Potentials and Romanovski Polynomials in Quantum
  Mechanics

abstract:
  Orthogonal Polynomials in Quantum Mechanics. Exact solutions of the
Schrodinger equation with the hyperbolic Scarf potential (Scarf II) in terms of
Romanovski polynomials. Among the applications included is the solution of the
problem of an electron within a particular potential leading to the definition
of new non-spherical angular functions.


title: Lanczos-adapted time evolution for open boundary quantum transport

abstract:
  We increase the efficiency of a recently proposed time integration scheme for
time dependent quantum transport by using the Lanczos method for time
evolution. We illustrate our modified scheme in terms of a simple one
dimensional model. Our results show that the Lanczos-adapted scheme gives a
large increase in numerical efficiency, and is an advantageous route for
numerical time integration in ab-initio treatment of open boundary quantum
transport phenomena.


title: Generalized Cheeger-Gromoll Metrics and the Hopf map

abstract:
  We show, using two different approaches, that there exists a family of
Riemannian metrics on the tangent bundle of a two-sphere, which induces metrics
of constant curvature on its unit tangent bundle. In other words, given such a
metric on the tangent bundle of a two-sphere, the Hopf map is identified with a
Riemannian submersion from the universal covering space of the unit tangent
bundle onto the two-sphere. A hyperbolic counterpart dealing with the tangent
bundle of a hyperbolic plane is also presented.


title: Update analysis of tau- --> V P- nu(tau): Theory and Experiment

abstract:
  Within the resonance chiral theory, we have studied the process of a tau
lepton decaying into a vector resonance plus a pseudo-Goldstone meson and a tau
neutrino. Two kinds of processes are discussed: (a) tau- --> (rho pi-,omega
pi-, phi pi-, K*0 K-) nu(tau), belonging to Delta S=0 processes and (b) Delta S
= 1 processes, such as tau- --> (rho K-, omega K-,phi K-,\bar{K*0} pi-)
nu(tau). To fit the tau- --> omega pi- nu(tau) spectral function and the decay
distribution of tau- --> omega K- nu(tau) to get unknown resonance couplings,
we then make a prediction for branching ratios of all channels.


title:
Slow-Roll Suppression of Adiabatic Instabilities in Coupled Scalar
  Field-Dark Matter Models

abstract:
  We study the evolution of linear density perturbations in the context of
interacting scalar field-dark matter cosmologies, where the presence of the
coupling acts as a stabilization mechanism for the runaway behavior of the
scalar self-interaction potential as in the case of the Chameleon model. We
show that in the "adiabatic" background regime of the system the rise of
unstable growing modes of the perturbations is suppressed by the slow-roll
dynamics of the field. Furthermore the coupled system behaves as an
inhomogeneous adiabatic fluid. In contrast instabilities may develop for large
values of the coupling constant, or along non-adiabatic solutions,
characterized by a period of high-frequency dumped oscillations of the scalar
field. In the latter case the dynamical instabilities of the field
fluctuations, which are typical of oscillatory scalar field regimes, are
amplified and transmitted by the coupling to dark matter perturbations.


title:
The formation of the first galaxies and the transition to low-mass star
  formation

abstract:
  The formation of the first galaxies at redshifts z ~ 10-15 signaled the
transition from the simple initial state of the universe to one of ever
increasing complexity. We here review recent progress in understanding their
assembly process with numerical simulations, starting with cosmological initial
conditions and modelling the detailed physics of star formation. In this
context we emphasize the importance and influence of selecting appropriate
initial conditions for the star formation process. We revisit the notion of a
critical metallicity resulting in the transition from primordial to present-day
initial mass functions and highlight its dependence on additional cooling
mechanisms and the exact initial conditions. We also review recent work on the
ability of dust cooling to provide the transition to present-day low-mass star
formation. In particular, we highlight the extreme conditions under which this
transition mechanism occurs, with violent fragmentation in dense gas resulting
in tightly packed clusters.


title:
Radio-frequency driven dipole-dipole interactions in spatially separated
  volumes

abstract:
  Radio-frequency (rf) fields in the MHz range are used to induce resonant
energy transfer between cold Rydberg atoms in spatially separated volumes.
After laser preparation of the Rydberg atoms, dipole-dipole coupling excites
the 49s atoms in one cylinder to the 49p state while the 41d atoms in the
second cylinder are transferred down to the 42p state. The energy exchanged
between the atoms in this process is 33 GHz. An external rf-field brings this
energy transfer into resonance. The strength of the interaction has been
investigated as a function of amplitude (0-1 V/cm) and frequency (1-30 MHz) of
the rf-field and as a function of a static field offset. Multi-photon
transitions up to fifth order as well as selection rules prohibiting the
process at certain fields have been observed. The width of the resonances has
been reduced compared to earlier results by switching off external magnetic
fields of the magneto-optical trap, making sub-MHz spectroscopy possible. All
features are well reproduced by theoretical calculations taking the strong
ac-Stark shift due to the rf-field into account.


title: Entangling characterization of (SWAP)1/m and Controlled unitary gates

abstract:
  We study the entangling power and perfect entangler nature of (SWAP)1/m, for
m>=1, and controlled unitary (CU) gates. It is shown that (SWAP)1/2 is the only
perfect entangler in the family. On the other hand, a subset of CU which is
locally equivalent to CNOT is identified. It is shown that the subset, which is
a perfect entangler, must necessarily possess the maximum entangling power.


title:
Improved method for partial-wave decomposition of two-pion exchange
  three-nucleon force

abstract:
  In this article an efficient method to calculate the matrix elements of
three-nucleon force is presented. The new method is improved version of
partial-wave decomposition presented in Few-Body Syst. 22 (1997) 107, which
simplifies expression to be evaluated and permits to reduce computational
effort as much as six times. Proposed method naturally applies to Faddeev-type
calculations but also can be used by any method relaying on partial-wave
decomposition.


title:
Estimates for parameters and characteristics of the confining
  SU(3)-gluonic field in an $\eta^\prime$-meson

abstract:
  The confinement mechanism proposed earlier by the author is applied to
estimate the possible parameters of the confining SU(3)-gluonic field in an
$\eta^\prime$-meson. For this aim the electric form factor of an
$\eta^\prime$-meson is nonperturbatively computed in an explicit analytic form.
The estimates obtained are also consistent with the width of the
electromagnetic decay $\eta^\prime\to2\gamma$. The corresponding estimates of
the gluon concentrations, electric and magnetic colour field strengths are also
adduced for the mentioned field at the scales of the meson under consideration.


title: Quark stars: their influence on Astroparticle Physics

abstract:
  We discuss some of the recent developments in the quark star physics along
with the consequences of possible hadron to quark phase transition at high
density scenario of neutron stars and their implications on the Astroparticle
Physics.


title: Impact of misalignments on the analysis of B decays

abstract:
  This note investigates the effects of a misaligned tracking system on the
analysis of B decays. Misalignment effects of both the vertex locator and the
inner and outer T-stations have been studied. $z$-scaling effects of the vertex
locator are also considered. It is proven that misalignments of the order of
the detector single-hit resolutions have little or negligible effects on the
quality of the reconstruction and of the analysis of B decays. The studies were
performed with a sample of $B^0_{(s)} \to h^+h^{'-}$ decays, but the impact of
misalignments on the performance of the pattern recognition algorithms and on
the primary vertex resolutions, assessed for the first time, are rather general
and not restricted to $B^0_{(s)} \to h^+h^{'-}$ decays.


title: Superfilters, Ramsey theory, and van der Waerden's Theorem

abstract:
  Superfilters are generalized ultrafilters, which capture the underlying
concept in Ramsey theoretic theorems such as van der Waerden's Theorem. We
establish several properties of superfilters, which generalize both Ramsey's
Theorem and its variant for ultrafilters on the natural numbers. We use them to
confirm a conjecture of Ko\v{c}inac and Di Maio, which is a generalization of a
Ramsey theoretic result of Scheepers, concerning selections from open covers.
Following Bergelson and Hindman's 1989 Theorem, we present a new simultaneous
generalization of the theorems of Ramsey, van der Waerden, Schur,
Folkman-Rado-Sanders, Rado, and others, where the colored sets can be much
smaller than the full set of natural numbers.


title: Shelf space strategy in long-tail markets

abstract:
  The Internet is known to have had a powerful impact on on-line retailer
strategies in markets characterised by long-tail distribution of sales. Such
retailers can exploit the long tail of the market, since they are effectively
without physical limit on the number of choices on offer. Here we examine two
extensions of this phenomenon. First, we introduce turnover into the long-tail
distribution of sales. Although over any given period such as a week or a
month, the distribution is right-skewed and often power law distributed, over
time there is considerable turnover in the rankings of sales of individual
products. Second, we establish some initial results on the implications for
shelf-space strategy of physical retailers in such markets.


title:
Can the spinning of elementary particles produce the rest energy mc2?
  The vortex model of elementary particles

abstract:
  The Dirac equation describes the motion of electrons in electromagnetic
field, but it considers spin as intrinsic property without any real motion. We
postulate spin as the intrinsic feature of vacuum, in which the incident
electromagnetic radiation can create vortices with well defined spinning
frequency and completely undefined axis of rotation. The vortices have finite
surface determined by the spinning frequency that makes the peripheral speed
equal to the velocity of light. According to the Lorentz equations of special
relativity, the product of radius and mass of rotating objects is independent
of the frequency of rotation and it is equal to 3/4h/2pic for all fermions.
This invariance explains how the light with infinite spatial dimension and zero
mass can produce finite mass and size for the particles in the pair-creation
processes. The vortex model interprets the rest energy as the kinetic energy of
spinning motion. The isotropic character of spinning can be represented by
helical motion with right or left-handed chirality corresponding to the duality
of matter and anti-matter. Conservation rule is proposed for the chirality
explaining the electron-positron annihilation and the pair-creation processes.
The vortex induced field rotation around the particle can reproduce the
gravitational formula if the curvature of field is derived from the Lorentz
contraction on the surface of rotating sphere. Generalized Hamiltonian is
suggested for the fermions describing the spinning motion in the internal frame
of particles, it reproduces the Dirac equation, when the rest energy is
predominant.


title: Periodicity, repetitions, and orbits of an automatic sequence

abstract:
  We revisit a technique of S. Lehr on automata and use it to prove old and new
results in a simple way. We give a very simple proof of the 1986 theorem of
Honkala that it is decidable whether a given k-automatic sequence is ultimately
periodic. We prove that it is decidable whether a given k-automatic sequence is
overlap-free (or squareefree, or cubefree, etc.) We prove that the
lexicographically least sequence in the orbit closure of a k-automatic sequence
is k-automatic, and use this last result to show that several related
quantities, such as the critical exponent, irrationality measure, and
recurrence quotient for Sturmian words with slope alpha, have automatic
continued fraction expansions if alpha does.


title: Entanglement of Formation for Gaussian States

abstract:
  The entanglement of formation (EOF) is computed for arbitrary two-mode
Gaussian states. Apart from a conjecture, our analysis rests on two main
ingredients. The first is a four-parameter canonical form we develop for the
covariance matrix, one of these parameters acting as a measure of EOF, and the
second is a generalisation of the EPR correlation, used in the work of Giedke
{\em et al} [Phys. Rev. Lett. {\bf 91}, 107901 (2003)], to noncommuting
variables. The conjecture itself is in respect of an extremal property of this
generalized EPR correlation.


title: Energy spectrum of ultra high energy cosmic rays

abstract:
  The construction of the southern site of the Pierre Auger Observatory is
almost completed. Three independent measurements of the flux of the cosmic rays
with energies larger than 1 EeV have been performed during the construction
phase. The surface detector data collected until August 2007 have been used to
establish a flux suppression at the highest energies with a 6 sigma
significance. The observations of cosmic rays by the fluorescence detector
allowed the extension of the energy spectrum to lower energies, where the
efficiency of the surface detector is less than 100% and a change in the
spectral index is expected.


title:
Cavity photon counting: ab-initio derivation of the quantum jump
  superoperators and comparison of the existing models

abstract:
  Time development of electromagnetic fields in closed cavities under
continuous detection of photons continues to be a subject of confusing
controversy. Recently Dodonov et al. [Phys. Rev. A, 75, 013806, 2007] argued
that their model of quantum superoperators (E model) invalidates some of the
predictions of the previously introduced photon counting model of Srinivas and
Davies [J. Mod. Optic. 28, 981, 1981] (SD model). Both the SD and the E models
are based on two postulated quantum jump superoperators: (1) the one-count
operator corresponding to the absorption of a single photon and (2) the
no-count operator. In this work we develop a stochastic difference equation
that describes the dissipative coupling of the cavity field and the detector.
The difference equation is based on non-perturbative treatment of the
cavity-detector coupling. In spite of being non-integrable due to the coupling
of the detector with an external reservoir it can be used to derive the exact
forms of the quantum jump superoperators. When applied to a particular photon
counting measurement our theory gives predictions identical with those of the
SD model which should be considered a non-perturbative and ab-initio result. It
is pointed out that available experimental results coincide with the results
given by the ab-initio SD model. We summarize some of the key characteristics
of cavity fields and photon counting processes to demonstrate that the results
given by the SD model are consistent with the principles of quantum mechanics
while those given by the E model are not.


title: Medical robotics: where we come from, where we are and where we could go

abstract: This short note presents a viewpoint about medical robotics.


title:
Turning with the others: novel transitions in an SPP model with coupling
  of accelerations

abstract:
  We consider a three dimensional, generalized version of the original SPP
model for collective motion. By extending the factors influencing the ordering,
we investigate the case when the movement of the self-propelled particles
(SPP-s) depends on both the velocity and the acceleration of the neighboring
particles, instead of being determined solely by the former one. By changing
the value of a weight parameter s determining the relative influence of the
velocity and the acceleration terms, the system undergoes a kinetic phase
transition as a function of a behavioral pattern. Below a critical value of s
the system exhibits disordered motion, while above it the dynamics resembles
that of the SPP model. We argue that in nature evolutionary processes can drive
the strategy variable s towards the critical point, where information exchange
between the units of a system is maximal.


title: How incomputable is the separable Hahn-Banach theorem?

abstract:
  We determine the computational complexity of the Hahn-Banach Extension
Theorem. To do so, we investigate some basic connections between reverse
mathematics and computable analysis. In particular, we use Weak Konig's Lemma
within the framework of computable analysis to classify incomputable functions
of low complexity. By defining the multi-valued function Sep and a natural
notion of reducibility for multi-valued functions, we obtain a computational
counterpart of the subsystem of second order arithmetic WKL_0. We study
analogies and differences between WKL_0 and the class of Sep-computable
multi-valued functions. Extending work of Brattka, we show that a natural
multi-valued function associated with the Hahn-Banach Extension Theorem is
Sep-complete.


title: The Weil Representation in Characteristic Two

abstract:
  In this paper we construct a new variant of the Weil representation,
associated with a symplectic vector space V defined over a finite field of
characteristic two. Our variant is a representation of a bigger group than that
of Weil. In the course, we develop the formalism of canonical vector spaces,
which enables us to realize the bigger symmetry group and the representation in
a transparent manner.

categories: math.RT math-ph math.AG math.CT math.GR math.MP math.NT math.QA math.SG quant-ph


title: Anomalous elasticity in nematic and smectic elastomer tubule

abstract:
  We study anomalous elasticity in the tubule phases of nematic and smectic
elastomer membranes, which are flat in one direction and crumpled in another.
These phases share the same macroscopic symmetry properties including
spontaneously-broken in-plane isotropy and hence belong to the same
universality class. Below an upper critical value $D_c =3$ of the membranes'
intrinsic dimension D, thermal fluctuations renormalize the elasticity with
respect to elastic displacements along the tubule axis so that elastic moduli
for compression along the tubule axis and for bending the tubule axis become
length-scale dependent. This anomalous elasticity belongs to the same
universality class as that of d-dimensional conventional smectics with D taking
on the role of d. For physical tubule, D=2, this anomaly is of power-law type
and thus might by easier to detect experimentally than the logarithmic anomaly
in conventional smectics.


title: Perfect excitation of a matter qubit by a single photon in free space

abstract:
  We propose a scheme for perfect excitation of a single two-level atom by a
single photon in free space. The photon state has to match the time reversed
photon state originating from spontaneous decay of a two-level system. We
discuss its experimental preparation. The state is characterized by a
particular asymmetric exponentially-shaped temporal profile. Any deviations
from this ideal state limit the maximum absorption. Although perfect excitation
requires an infinite amount of time we demonstrate that there is a class of
initial one-photon quantum states which can achieve almost perfect absorption
even for a finite interaction time. Our results pave the way for realizing
perfect coupling between flying and stationary qubits in free space thus
opening a possibility for building scalable quantum networks.


title: Combinatorics of labelling in higher dimensional automata

abstract:
  The main idea for interpreting concurrent processes as labelled precubical
sets is that a given set of n actions running concurrently must be assembled to
a labelled n-cube, in exactly one way. The main ingredient is the
non-functorial construction called labelled directed coskeleton. It is defined
as a subobject of the labelled coskeleton, the latter coinciding in the
unlabelled case with the right adjoint to the truncation functor. This
non-functorial construction is necessary since the labelled coskeleton functor
of the category of labelled precubical sets does not fulfil the above
requirement. We prove in this paper that it is possible to force the labelled
coskeleton functor to be well-behaved by working with labelled transverse
symmetric precubical sets. Moreover, we prove that this solution is the only
one. A transverse symmetric precubical set is a precubical set equipped with
symmetry maps and with a new kind of degeneracy map called transverse
degeneracy. Finally, we also prove that the two settings are equivalent from a
directed algebraic topological viewpoint. To illustrate, a new semantics of
CCS, equivalent to the old one, is given.


title:
Reliability of P mode event classification using contemporaneous BiSON
  and GOLF observations

abstract:
  We carried out a comparison of the signals seen in contemporaneous BiSON and
GOLF data sets. Both instruments perform Doppler shift velocity measurements in
integrated sunlight, although BiSON perform measurements from the two wings of
potassium absorption line and GOLF from one wing of the NaD1 line.
Discrepancies between the two datasets have been observed. We show,in fact,
that the relative power depends on the wing in which GOLF data observes. During
the blue wing period, the relative power is much higher than in BiSON datasets,
while a good agreement has been observed during the red period.


title:
Extremal distributions for tail probabilities of sums of iid random
  variables on [0,1]

abstract:
  Two old conjectures from problem sections, one of which from SIAM Review,
concern the question of finding distributions that maximize P(Sn <= t), where
Sn is the sum of i.i.d. random variables X1, ..., Xn on the interval [0,1],
satisfying E[X1]=m. In this paper a Lagrange multiplier technique is applied to
this problem, yielding necessary conditions for distributions to be extremal,
for arbitrary n. For n=2, a complete solution is derived from them: extremal
distributions are discrete and have one of the following supports, depending on
m and t: {0,t}, {t-1,1}, {t/2,1}, or {0,t,1}. These results suffice to refute
both conjectures. However, acquired insight naturally leads to a revised
conjecture: that extremal distributions always have at most three support
points and belong to a (for each n, specified) finite collection of two and
three point distributions.


title: Electromagnetic Fields Produced by Moving Sources in a Curved Beam Pipe

abstract:
  A new geometrical perturbation scheme is developed in order to calculate the
electromagnetic fields produced by charged sources in prescribed motion moving
in a non-straight perfectly conducting beam pipe. The pipe is regarded as a
perturbed infinitely long hollow right-circular cylinder. The perturbation
maintains the pipe's circular cross-section while deforming its axis into a
planar space-curve with, in general, non-constant curvature. Various charged
source models are considered including a charged bunch and an off-axis point
particle. In the ultra-relativistic limit this permits a calculation of the
longitudinal wake potential in terms of powers of the product of the pipe
radius and the arbitrarily varying curvature of the axial space-curve. Analytic
expressions to leading order are presented for beam pipes with piecewise
defined constant curvature modelling pipes with straight segments linked by
circular arcs of finite length. The language of differential forms is used
throughout and to illustrate the power of this formalism a pedagogical
introduction is developed by deriving the theory ab-initio from Maxwell's
equations expressed intrinsically as a differential system on (Minkowski)
spacetime.


title: Algorithmic Pricing via Virtual Valuations

abstract:
  Algorithmic pricing is the computational problem that sellers (e.g., in
supermarkets) face when trying to set prices for their items to maximize their
profit in the presence of a known demand. Guruswami et al. (2005) propose this
problem and give logarithmic approximations (in the number of consumers) when
each consumer's values for bundles are known precisely. Subsequently several
versions of the problem have been shown to have poly-logarithmic
inapproximability. This problem has direct ties to the important open question
of better understanding the Bayesian optimal mechanism in multi-parameter
settings; however, logarithmic approximations are inadequate for this purpose.
It is therefore of vital interest to consider special cases where constant
approximations are possible. We consider the unit-demand variant of this
problem. Here a consumer has a valuation for each different item and their
value for a set of items is simply the maximum value they have for any item in
the set. We assume that the preferences of the consumers are drawn from a
distribution, the standard assumption in economics; furthermore, the setting of
a specific set of customers with known preferences, which is employed in all
prior work in algorithmic pricing, is a special case of this general problem,
where there is a discrete Bayesian distribution for preferences specified by
picking one consumer uniformly from the given set of consumers. Our work
complements these existing works by considering the case where the consumer's
valuations for the different items are independent random variables. Our main
result is a constant approximation that makes use of an interesting connection
between this problem and the concept of virtual valuations from the
single-parameter Bayesian optimal mechanism design literature.


title: Geometric effects in lattice QCD thermodynamics

abstract:
  I present a study of the equation of state in quenched QCD, discussing some
systematic effects related to the lattice geometry. In particular, I comment on
the modification of the Stefan-Boltzmann law for a gas of free gluons in a
finite system, and study the impact it might have on numerical results at high
temperatures, for the typical parameters of current lattice simulations.
Finally, I apply the results of this study to the analysis of data obtained
from simulations of SU(N) gauge theories with N>3 colors, in a temperature
range up to 3T_c, where infrared effects appear to be under control.
Preliminary results for various thermodynamic observables for SU(4), SU(5) and
SU(6) gauge theories are found to be close to each other and to those for
SU(3), in agreement with other similar studies. This may be relevant for the
theoretical description of the QCD plasma.


title: Generalized entropic structures and non-generality of Jaynes' Formalism

abstract:
  The extremization of an appropriate entropic functional may yield to the
probability distribution functions maximizing the respective entropic
structure. This procedure is known in Statistical Mechanics and Information
Theory as Jaynes' Formalism and has been up to now a standard methodology for
deriving the aforementioned distributions. However, the results of this
formalism do not always coincide with the ones obtained following different
approaches. In this study we analyse these inconsistencies in detail and
demonstrate that Jaynes' formalism leads to correct results only for specific
entropy definitions.


title: Spontaneous Polarisation Build up in a Room Temperature Polariton Laser

abstract:
  We observe the build up of strong (~50%) spontaneous vector polarisation in
emission from a GaN-based polariton laser excited by short optical pulses at
room temperature. The Stokes vector of emitted light changes its orientation
randomly from one excitation pulse to another, so that the time-integrated
polarisation remains zero. This behaviour is completely different to any
previous laser. We interpret this observation in terms of the spontaneous
symmetry breaking in a Bose-Einstein condensate of exciton-polaritons.


title: Metallicity in the half-filled Holstein-Hubbard model

abstract:
  We re-examine the Peierls insulator to Mott insulator transition scenario in
the one-dimensional Holstein-Hubbard model where, at half-filling,
electron-phonon and electron-electron interactions compete for establishing
charge- and spin-density-wave states, respectively. By means of large-scale
density-matrix renormalization group calculations we determine the spin,
single-particle and two-particle excitation gaps and prove--in the course of a
careful finite-size scaling analysis--recent claims for an intervening metallic
phase in the weak-coupling regime. We show that for large phonon frequencies
the metallic region is even more extended than previously expected, and
subdivided into ordinary Luttinger liquid and bipolaronic liquid phases.


title: Vacuum polarization in graphene with a topological defect

abstract:
  The influence of a topological defect in graphene on the ground state of
electronic quasiparticle excitations is studied in the framework of the
long-wavelength continuum model originating in the tight-binding approximation
for the nearest neighbour interaction in the graphitic lattice. A topological
defect that rolls up a graphitic sheet into a nanocone is represented by a
pointlike pseudomagnetic vortex with a flux which is related to the deficit
angle of the cone. The method of self-adjoint extensions is employed to define
the set of physically acceptable boundary conditions at the apex of the
nanocone. The electronic system on a graphitic nanocone is found to acquire the
ground state condensate and current of special type, and we determine the
dependence of these quantities on the deficit angle of the nanocone, continuous
parameter of the boundary condition at the apex, and the distance from the
apex.


title: 3 Dimensional N=8 Supersymmetric Field Theory Revisited

abstract:
  Inspired by ideas regarding Hermitian NxN matrix fields obeying a
non-associative algebra, 3-dimensional N=8 SUSic field theories are proposed to
on-shell represent subalgebras of OSp(8|2) and OSp(8|4) groups of SUSY
transformations. They are theories of 8 scalar and 8 spinor fields with Yukawa,
quartic and sextic self-interactions. The actions as their R-symmetry exhibit
only SO(7) or SO(4)xSO(4) subgroups of full SO(8) automorphisms. It is argued
that the number of degrees of freedom scale like N^{3/2}. There also exists an
extra S_N permutation symmetry group.


title:
Computability of entropy and information in classical Hamiltonian
  systems

abstract:
  We consider the computability of entropy and information in classical
Hamiltonian systems. We define the information part and total information
capacity part of entropy in classical Hamiltonian systems using relative
information under a computable discrete partition.
  Using a recursively enumerable nonrecursive set it is shown that even though
the initial probability distribution, entropy, Hamiltonian and its partial
derivatives are computable under a computable partition, the time evolution of
its information capacity under the original partition can grow faster than any
recursive function. This implies that even though the probability measure and
information are conserved in classical Hamiltonian time evolution we might not
actually compute the information with respect to the original computable
partition.


title: Regularisation and the Mullineux map

abstract:
  We classify the pairs of conjugate partitions whose regularisations are
images of each other under the Mullineux map. This classification proves a
conjecture of Lyle, answering a question of Bessenrodt, Olsson and Xu.


title: High-dimensional Z' phenomenology at hadron colliders

abstract:
  We study the phenomenology of a Z'-boson field coupled to hypercharge. The Z'
propagator has a non-trivial K\"all\'en-Lehmann spectral density due to the
mixing with a higher dimensional inert vector field. As a consequence detection
possibilities at hadron colliders are reduced. We determine the range of
parameters where this field can be studied at the Tevatron and the LHC through
its production cross section via the Drell-Yan mechanism.


title: Magnetic and electronic Co states in layered cobaltate GdBaCo2O5.5-x

abstract:
  We have performed non-resonant x-ray diffraction, resonant soft and hard
x-ray magnetic diffraction, soft x-ray absorption and x-ray magnetic circular
dichroism measurements to clarify the electronic and magnetic states of the
Co3+ ions in GdBaCo2O5.5. Our data are consistent with a 3+ Py Co HS state at
the pyramidal sites and a 3+ Oc Co LS state at the octahedral sites. The
structural distortion, with a doubling of the a axis (2ap x 2ap x 2ap cell),
shows alternating elongations and contractions of the pyramids and indicates
that the metal-insulator transition is associated with orbital order in the t2g
orbitals of the 3+ Py Co HS state. This distortion corresponds to an
alternating ordering of xz and yz orbitals along the a and c axes for the 3+ Py
Co . The orbital ordering and pyramidal distortion lead to deformation of the
octahedra, but the 3+ Oc Co LS state does not allow an orbital order to occur
for the 3+ Oc Co ions. The soft x-ray magnetic diffraction results indicate
that the magnetic moments are aligned in the ab plane but are not parallel to
the crystallographic a or b axes. The orbital order and the doubling of the
magnetic unit cell along the c axis support a non-collinear magnetic structure.
The x-ray magnetic circular dichroism data indicate that there is a large
orbital magnetic contribution to the total ordered Co moment.


title:
General Sum Rules for WW Scattering in Higgsless Models: Equivalence
  Theorem and Deconstruction Identities

abstract:
  We analyze inelastic 2 to 2 scattering amplitudes for gauge bosons and
Nambu-Goldstone bosons in deconstructed Higgsless models. Using the (KK)
Equivalence Theorem in 4D (5D), we derive a set of general sum rules among the
boson masses and multi-boson couplings that are valid for arbitrary
deconstructed models. Taking the continuum limit, our results naturally include
the 5D Higgsless model sum rules for arbitrary 5D geometry and boundary
conditions; they also reduce to the elastic sum rules when applied to the
special case of elastic scattering. For the case of linear deconstructed
Higgsless models, we demonstrate that the sum rules can also be derived from a
set of general deconstruction identities and completeness relations. We apply
these sum rules to the deconstructed 3-site Higgsless model and its extensions;
we show that in 5D ignoring all higher KK modes (n>1) is inconsistent once the
inelastic channels become important. Finally, we discuss how our results
generalize beyond the case of linear Higgsless models.


title: On idempotent states on quantum groups

abstract:
  Idempotent states on a compact quantum group are shown to yield group-like
projections in the multiplier algebra of the dual discrete quantum group. This
allows to deduce that every idempotent state on a finite quantum group arises
in a canonical way as the Haar state on a finite quantum hypergroup. A natural
order structure on the set of idempotent states is also studied and some
examples discussed.


title:
Parkinson's Law Quantified: Three Investigations on Bureaucratic
  Inefficiency

abstract:
  We formulate three famous, descriptive essays of C.N. Parkinson on
bureaucratic inefficiency in a quantifiable and dynamical socio-physical
framework. In the first model we show how the use of recent opinion formation
models for small groups can be used to understand Parkinson's observation that
decision making bodies such as cabinets or boards become highly inefficient
once their size exceeds a critical 'Coefficient of Inefficiency', typically
around 20. A second observation of Parkinson - which is sometimes referred to
as Parkinson's Law - is that the growth of bureaucratic or administrative
bodies usually goes hand in hand with a drastic decrease of its overall
efficiency. In our second model we view a bureaucratic body as a system of a
flow of workers, which enter, become promoted to various internal levels within
the system over time, and leave the system after having served for a certain
time. Promotion usually is associated with an increase of subordinates. Within
the proposed model it becomes possible to work out the phase diagram under
which conditions bureaucratic growth can be confined. In our last model we
assign individual efficiency curves to workers throughout their life in
administration, and compute the optimum time to send them to old age pension,
in order to ensure a maximum of efficiency within the body - in Parkinson's
words we compute the 'Pension Point'.


title: Nuclear Magnetism and Electronic Order in 13C Nanotubes

abstract:
  Single wall carbon nanotubes grown entirely from 13-C form an ideal system to
study the effect of electron interaction on nuclear magnetism in one dimension.
If the electrons are in the metallic, Luttinger liquid regime, we show that
even a very weak hyperfine coupling to the 13-C nuclear spins has a striking
effect: The system is driven into an ordered phase, which combines electron and
nuclear degrees of freedom, and which persists up into the millikelvin range.
In this phase the conductance is reduced by a universal factor of 2, allowing
for detection by standard transport experiments.


title:
Bundles of coloured posets and a Leray-Serre spectral sequence for
  Khovanov homology

abstract:
  The decorated hypercube found in the construction of Khovanov homology for
links is an example of a Boolean lattice equipped with a presheaf of modules.
One can place this in a wider setting as an example of a coloured poset, that
is to say a poset with a unique maximal element equipped with a presheaf of
modules. In this paper we initiate the study of a bundle theory for coloured
posets, producing for a certain class of base posets a Leray-Serre type
spectral sequence. We then show how this theory finds application in Khovanov
homology by producing a new spectral sequence converging to the Khovanov
homology of a given link.


title: The Lanczos potential and Chern-Simons theory

abstract:
  A new tensor $D$ is introduced which is constructed from the Lanczos
potential and is of the same form as that of the Weyl tensor $C$ expressed in
terms of the Lanczos potential except that covariant differentiation is
replaced by transvection with a vector $v$. The new tensor has associated
invariants $C\cdot D$ and $D^2$, the first of these can be interpreted as a
Chern-Simons term for Weyl $C^2$ gravity. Both invariants allow various tensors
to be constructed and some of the properties of these are investigated by using
exact examples.


title: Describing all bi-orderings on Thompson's group F

abstract:
  We describe all possible ways of bi-ordering Thompson group F: its space of
bi-orderings is made up of eight isolated points and four canonical copies of
the Cantor set.


title: Transverse momentum spectra of charged hadrons in jets at the Tevatron

abstract:
  The hadronic $\kt$-spectrum inside a high energy jet is determined including
corrections of relative magnitude $\cO{\sqrt{\alpha_s}}$ with respect to the
Modified Leading Logarithmic Approximation (MLLA), in the limiting spectrum
approximation (assuming an infrared cut-off $Q_0 =\lqcd$) and beyond
($Q_0\ne\lqcd$). The results in the limiting spectrum approximation are found
to be, after normalization, in impressive agreement with measurements by the
CDF collaboration. A new integral representation for the "hump-backed" plateau
is also reported.


title: Statistical properties of one-dimensional random lasers

abstract:
  Statistical properties of a laser based on a one-dimensional disordered
superlattice open at one side are studied numerically. The passive normal modes
of the system are determined using the Feshbach projection technique. It is
found that the mode competition due to the spacial hole burning leads to a
saturation of the number of lasing modes with increasing pump rate. It is also
responsible for nonmonotonic dependence of intensities of lasing modes as
functions of pumping. Computed distributions of spectral spacing and intensity
statistics are in qualitative agreement with experimental results.


title: Hybrid Pomeron Model of exclusive central diffractive production

abstract:
  Central diffractive production of heavy states (massive dijets, Higgs boson)
is studied in the exclusive mode using a new Hybrid Pomeron Model (HPM). Built
from Hybrid Pomerons defined by the combination of one hard and one soft color
exchanges, the model describes well the centrally produced diffractive dijet
data at the Tevatron. Predictions for the Higgs boson and dijet exclusive
production at the LHC are presented.


title: Semiflexible Chains in Confined Spaces

abstract:
  We develop an analytical method for studying the properties of a
non-interacting Wormlike Chain (WLC) in confined geometries. The mean
field-like theory replaces the rigid constraints of confinement with average
constraints, thus allowing us to develop a tractable method for treating a WLC
wrapped on the surface of a sphere, and fully encapsulated within it. The
efficacy of the theory is established by reproducing the exact correlation
functions for a WLC confined to the surface of a sphere. In addition, the
coefficients in the free energy are exactly calculated. We also describe the
behavior of a surface-confined chain under external tension that is relevant
for single molecule experiments on histone-DNA complexes. The force-extension
curves display spatial oscillations, and the extension of the chain, whose
maximum value is bounded by the sphere diameter, scales as $f^{-1}$ at large
forces, in contrast to the unconfined chain that approaches the contour length
as $f^{-1/2}$. A WLC encapsulated in a sphere, that is relevant for the study
of the viral encapsulation of DNA, can also be treated using the MF approach.
The predictions of the theory for various correlation functions are in
excellent agreement with Langevin simulations. We find that strongly confined
chains are highly structured by examining the correlations using a local
winding axis. The predicted pressure of the system is in excellent agreement
with simulations but, as is known, is significantly lower than the pressures
seen for DNA packaged in viral capsids.


title: The spontaneous breaking of a metastable string

abstract:
  We consider the phase transition of a string with tension $\eps_1$ to a
string with a smaller tension $\eps_2$. The transition proceeds through quantum
tunneling, and we calculate in arbitrary number of dimensions the
pre-exponential factor multiplying the leading semiclassical exponential
expression for the rate of the process. At $\eps_2=0$ the found formula for the
decay rate also describes a break up of a metastable string into two pieces.


title: Superconductivity in SrNi2As2 Single Crystals

abstract:
  The electrical resistivity \rho(T) and heat capacity C(T) on single crystals
of SrNi2As2 and EuNi2As2 are reported. While there is no evidence for a
structural transition in either compound, SrNi2As2 is found to be a bulk
superconductor at T_c=0.62 K with a Sommerfeld coefficient of \gamma= 8.7
mJ/mol K^2 and a small upper critical field H_{c2} \sim 200 Oe. No
superconductivity was found in EuNi2As2 above 0.4 K, but anomalies in \rho and
C reveal that magnetic order associated with the Eu^{2+} magnetic moments
occurs at T_m = 14 K.


title: Extended flux maps on surfaces and the contracted Johnson homomorphism

abstract:
  On a closed symplectic surface Sigma of genus two or more, we give a new
construction of an extended flux map (a crossed homomorphism from the
symplectomorphism group Symp(Sigma) to the cohomology group H^1(Sigma;R) that
extends the flux homomorphism). This construction uses the topology of the
Jacobian of the surface and a correction factor related to the Johnson
homomorphism. For surfaces of genus three or more, we give another new
construction of an extended flux map using hyperbolic geometry.


title: Warped polar ring in the Arp 212 galaxy

abstract:
  The Fabry-Perot scanning interferometer mounted on the 6-m telescope of the
Special Astrophysical Observatory of the Russian Academy of Sciences is used to
study the distribution and kinematics of ionized gas in the peculiar galaxy Arp
212 (NGC 7625, III Zw 102). Two kinematically distinct subsystems - the inner
disk and outer emission filaments, are found within the optical radius of the
galaxy. The first subsystem, at galactocentric distances r<3.5 kpc, rotates in
the plane of the stellar disk. The inner part of the ionized-gas disk (r<1.5-2
kpc) exactly coincides with the previously known disk consisting of molecular
gas. The second subsystem of ionized gas is located at galactocentric distances
2-6 kpc. This subsystem rotates in a plane tilted by a significant angle to the
stellar disk. The angle of orbital inclination in the outer disk increases with
galactocentric distance and reaches 50 degrees at r=6 kpc. The ionized fraction
of the gaseous disk does not show up beyond this galactocentric distance, but
we believe that the HI disk continues to warp and approaches the plane that is
polar with respect to the inner disk of the galaxy. Hence Arp 212 can be
classified as a galaxy with a polar ring (or a polar disk). The observed
kinematics of the ionized and neutral gas can be explained assuming that the
distribution of gravitational potential in the galaxy is not spherically
symmetric. Most probably, the polar ring have formed via accretion of gas from
the dwarf satellite galaxy UGC 12549.


title:
Spin fluctuations, magnetic long-range order and Fermi surface gapping
  in NaxCoO2

abstract:
  In this study an extended low energy phase diagram for NaxCoO2 is
experimentally established with emphasis on the high x range. It is based on
systematic heat capacity studies on both polycrystalline and single crystalline
samples and on uSR measurements. Main features are the existence of mass
enhancement, spin fluctuations without long-range order, and magnetic order
with associated Fermi surface gapping. The latter is seen in the electronic
density of states (DOS) and suppression of nuclear specific heat. While there
is agreement between the band structure and the low energy DOS in the low x
range, in the high x range (x > 0.6) the thermodynamically determined DOS is
approximately three times that deduced from the angle-resolved photoemission
spectroscopy (ARPES)-measured band dispersion or local-density approximation
(LDA) calculations.


title: Regularisation as a quantised low-pass filter

abstract:
  A divergence-free approach to relativistic quantum electrodynamics based on
regularisation of equations of quantum mechanics is discussed. This approach is
shown to be exactly equivalent to the conventional Feynman-Dyson
renormalisation techniques.

categories: quant-ph cond-mat.other hep-th math-ph math.MP


title:
Effect of c(2x2)-CO overlayer on the phonons of Cu(001): a first
  principles study

abstract:
  We have examined the effect of a c(2x2) overlayer of CO on the surface
phonons of the substrate, Cu(001), by applying the density functional
perturbation theory with both the local (LDA) and the generalized-gradient
(GGA) density approximations, through the Hedin-Lundqvist and the
Perdew-Burke-Ernzerhof functionals, respectively. Our results (GGA) trace the
Rayleigh wave softening detected by helium atom scattering (HAS) experiments to
changes in the force constants between the substrate surface atoms brought
about by CO chemisorption, resolving an ongoing debate on the subject. The
calculated surface phonon dispersion curves document the changes in the
polarization of some modes and show those of the modes originally along the
$\bar{Y}$ direction of the clean surface Brillouin zone (SBZ) which are
back-folded along the $\bar{\Delta}$ direction of the chemisorbed SBZ, to be
particularly consequential. The vertical and shear horizontal section of $S_1$
in the SBZ of the clean surface, for example, is back-folded as a
longitudinal-vertical mode, indicating thereby that $S_1$ $-$ predicted a long
time back along $\bar{\Delta}$ for the clean surface $-$ may be indirectly
assessed at $\bar{X}$ upon CO adsorption by standard planar scattering
techniques. These findings further suggest that some of the energy losses
detected by HAS along $\bar{\Delta}$, which were associated to multiphonon
excitations of the adlayer frustrated translation mode, may actually correspond
to the back-folded substrate surface modes.


title:
Conservative discrete time-invariant systems and block operator CMV
  matrices

abstract:
  It is well known that an operator-valued function $\Theta$ from the Schur
class ${\bf S}(\mathfrak M,\mathfrak N)$, where $\mathfrak M$ and $\mathfrak N$
are separable Hilbert spaces, can be realized as the transfer function of a
simple conservative discrete time-invariant linear system. The known
realizations involve the function $\Theta$ itself, the Hardy spaces or the
reproducing kernel Hilbert spaces. On the other hand, as in the classical
scalar case, the Schur class operator-valued function is uniquely determined by
its so called "Schur parameters". In this paper we construct simple
conservative realizations using the Schur parameters only. It turns out that
the unitary operators corresponding to the systems take the form of five
diagonal block operator matrices, which are the analogs of
Cantero--Moral--Vel\'azquez (CMV) matrices appeared recently in the theory of
scalar orthogonal polynomials on the unit circle. We obtain new models given by
truncated block operator CMV matrices for an arbitrary completely non-unitary
contraction. It is shown that the minimal unitary dilations of a contraction in
a Hilbert space and the minimal Naimark dilations of a semi-spectral operator
measure on the unit circle can also be expressed by means of block operator CMV
matrices.


title: Planetary Bow Shocks

abstract:
  Our present knowledge of the properties of the various planetary bow shocks
is briefly reviewed. We do not follow the astronomical ordering of the planets.
We rather distinguish between magnetised and unmagnetised planets which groups
Mercury and Earth with the outer giant planets of the solar system, Mars and
Moon in a separate group lacking magnetic fields and dense atmospheres, and
Venus together with the comets as the atmospheric celestial objects exposed to
the solar wind. Asteroids would, in this classification, fall into the group
together with the Moon and should behave similarly though being much smaller.
Extrasolar planets are not considered as we have only remote information about
their behaviour. The presentation is brief in the sense that our in situ
knowledge is rather sporadic yet, depending on just a countable number of bow
shock crossings from which just some basic conclusions can be drawn about size,
stationarity, shape and nature of the respective shock. The only bow shock of
which we have sufficient information to deal in sufficient depth with its
physics is Earth's bow shock. This has been reviewed in other places in this
volume and therefore is mentioned here only as the bow shock paradigm in
passing.


title:
Minimally Allowed Neutrinoless Double Beta Decay Rates Within an
  Anarchical Framework

abstract:
  Neutrinoless double beta decay is the only realistic probe of the Majorana
nature of the neutrino. In the standard picture, its rate is proportional to
$m_{ee}$, the e-e element of the Majorana neutrino mass matrix in the flavor
basis. I explore minimally allowed $m_{ee}$ values within the framework of mass
matrix anarchy where neutrino parameters are defined statistically at low
energies. Distributions of mixing angles are well defined by the Haar
integration measure, but masses are dependent on arbitrary weighting functions
and boundary conditions. I survey the integration measure parameter space and
find that for sufficiently convergent weightings, $m_{ee}$ is constrained
between (0.01-0.4) eV at 90% confidence. Constraints from neutrino mixing data
lower these bounds. Singular integration measures allow for arbitrarily small
$m_{ee}$ values with the remaining elements ill-defined, but this condition
constrains the flavor structure of the model's ultraviolet completion. Bounds
below $m_{ee} \sim 5\times10^{-3}$ eV should indicate symmetry in the lepton
sector, new light degrees of freedom or the Dirac nature of the neutrino.


title: Raman Coupling of Zeeman Sublevels in an Alkali Bose Condensate

abstract:
  We investigate amplitude and phase control of the components of the spinor
order parameter of a 87Rb Bose-Einstein condensate. By modeling the interaction
of the multilevel atomic system with a pair of Raman-detuned laser pulses, we
show that it is possible to construct a pulse-sequence protocol for producing a
desired state change within a single Zeeman manifold. We present several
successful elementary tests of this protocol in both the F = 1 and F = 2 Zeeman
manifolds of 87Rb using the D1 transitions. We describe specific features of
the interaction which are important for multimode, spatially-varying field
configurations, including the role of state-dependent, light-induced
potentials.


title:
Renormalized 2PN spin contributions to the accumulated orbital phase for
  LISA sources

abstract:
  We give here a new third post-Newtonisn (3PN) spin-spin contribution (in the
PN parameter $\epsilon $) to the accumulated orbital phase of a compact binary,
arising from the spin-orbit precessional motion of the spins. In the equal mass
case this contribution vanishes, but LISA sources of merging supermassive
binary black holes have typically a mass ratio of 1:10. For such non-equal
masses this 3PN correction is periodic in time, with period approximately
$\epsilon ^{-1}$ times larger than the period of gravitational waves. We derive
a renormalized and simpler expression of the spin-spin coefficient at 2PN, as
an average over the time-scale of this period of the combined 2PN and 3PN
contribution. We also find that for LISA sources the quadrupole-monopole
contribution to the phase dominates over the spin-spin contribution, while the
self-spin contribution is negligible even for the dominant spin. Finally we
define a renormalized total spin coefficient $\bar{\sigma}$ to be employed in
the search for gravitational waves emitted by LISA sources.


title:
Meson formfactor scheme for the chiral Lagrangian approach to J/psi
  breakup cross sections motivated by a relativistic quark model

abstract:
  We suggest a new scheme for the introduction of formfactors for the SU(4)
chiral meson Lagrangian approach to the J/psi breakup cross sections by pion
and rho meson impact. This mesonic formfactor scheme respects the fact that on
the quark level of description the contact and the meson exchange diagrams are
constructed by so-called box and triangle diagrams which contain a different
number of vertex functions for the quark-meson coupling. We present a model
calculation for Gaussian vertex functions within the meson formfactor scheme
and compare the results with those of the usual global formfactor model. We
calibrate the new meson formfactor model with results for the pion impact
processes from a relativistic quark model calculation by Ivanov et al. and
present predictions for the rho-meson induced processes. We provide a fit
formula for the resulting energy-dependent cross sections.


title: Anisotropy and Magnetism in the LSDA+U Method

abstract:
  Consequences of anisotropy (variation of orbital occupation) and magnetism,
and their coupling, are analyzed for LSDA+U functionals, both the commonly used
ones as well as less commonly applied functionals. After reviewing and
extending some earlier observations for an isotropic interaction, the
anisotropies are examined more fully and related to use with the local density
(LDA) or local spin density (LSDA) approximations. The total energies of all
possible integer configurations of an open $f$ shell are presented for three
functionals, where some differences are found to be dramatic. Differences in
how the commonly used "around mean field" (AMF) and "fully localized limit"
(FLL) functionals perform are traced to such differences. The LSDA+U
interaction term, applied self-consistently, usually enhances spin magnetic
moments and orbital polarization, and the double-counting terms of both
functionals provide an opposing, moderating tendency ("suppressing the magnetic
moment"). The AMF double counting term gives magnetic states a significantly
larger energy penalty than does the FLL counterpart.


title: CP violation in tau -> K pi pi nu_tau

abstract:
  We consider CP-violating effects in tau->K pi pi nu_tau, assuming that a
charged Higgs boson provides a new amplitude that can interfere with the usual
Standard Model amplitude. We consider four CP-odd observables -- the regular
rate asymmetry, two modified rate asymmetries and a triple-product asymmetry.
The regular rate asymmetry is expected to be small because it requires the
interference of the new physics amplitude with the standard model amplitude
containing the hadronic scalar form factor. The other CP asymmetries may be
more promising in terms of their new physics reach. Numerical estimates
indicate that the maximum obtainable values for the modified and triple-product
asymmetries are on the order of a percent.


title: Random Loose Packing in Granular Matter

abstract:
  We introduce and simulate a two dimensional probabilistic model of granular
matter at vanishing pressure. The model exhibits a perfectly sharp random loose
packing density, a phenomenon that should be verifiable for real granular
matter.


title: The causal structure of dynamical charged black holes

abstract:
  We study the causal structure of dynamical charged black holes, with a
sufficient number of massless fields, using numerical simulations. Neglecting
Hawking radiation, the inner horizon is a null Cauchy horizon and a curvature
singularity due to mass inflation. When we include Hawking radiation, the inner
horizon becomes space-like and is separated from the Cauchy horizon, which is
parallel to the out-going null direction. Since a charged black hole must
eventually transit to a neutral black hole, we studied the neutralization of
the black hole and observed that the inner horizon evolves into a space-like
singularity, generating a Cauchy horizon which is parallel to the in-going null
direction. Since the mass function is finite around the inner horizon, the
inner horizon is regular and penetrable in a general relativistic sense.
However, since the curvature functions become trans-Planckian, we cannot
saymore about the region beyond the inner horizon, and it is natural to say
that there is a 'physical' space-like singularity. However, if we assume an
exponentially large number of massless scalar fields, our results can be
extended beyond the inner horizon. In this case, strong cosmic censorship and
black hole complementarity can be violated.