title: Quantum-like Representation of Macroscopic Configurations

abstract:
  The aim of this paper is to apply a contextual probabilistic model (in the
spirit of Mackey, Gudder, Ballentine) to represent and to generalize some
results of quantum logic about possible macroscopic quantum-like (QL)
behaviour. The crucial point is that our model provides QL-representation of
macroscopic configurations in terms of complex probability amplitudes -- wave
functions of such configurations. Thus, instead of the language of propositions
which is common in quatum logic, we use the language of wave functions which is
common in the conventional presentation of QM. We propose a quantum-like
representation algorithm, QLRA, which maps probabilistic data of any origin in
complex (or even hyperbolic) Hilbert space. On the one hand, this paper
clarifyes some questions in foundations of QM, since some rather mystical
quantum features are illustrated on the basis of behavior of macroscopic
systems. On the other hand, the approach developed in this paper may be used
e.g. in biology, sociology, or psychology. Our example of QL-representation of
hidden macroscopic configurations can find natural applications in those
domains of science.


title:
Renormalizable Sectors in Resonance Chiral Theory: S -> pi pi Decay
  Amplitude

abstract:
  We develop a resonance chiral theory without any a priori limitation on the
number of derivatives in the hadronic operators. Through an exhaustive analysis
of the resonance lagrangian and by means of field redefinitions, we find that
the number of independent operator contributing to the S -> pi pi decay
amplitude is finite: there is only one single-trace operator (the cd term) and
three multi-trace terms. The deep implication of this fact is that the
ultraviolet divergences that appear in this amplitude at the loop level can
only appear through these chiral invariant structures. Hence, a renormalization
of these couplings renders the amplitude finite.


title:
Spatially Inhomogeneous Superconducting and Bosonic Networks With
  Emergent Complex Behaviors

abstract:
  The spontaneous emergence of enhanced responses and local orders are
properties often associated with complex matter where nonlinearities and
spatial inhomogeneities dominate. We discuss these phenomena in quantum devices
realized with superconducting Josephson junction networks and cold atoms in
optical lattices. We evidence how the pertinent engineering of the network's
shape induces the enhancement of the zero-voltage Josephson critical currents
in superconducting arrays as well as the emergence of spatially localized
condensates for cold atoms in inhomogeneous optical lattices.


title: Multiepoch Radial Velocity Observations of L Dwarfs

abstract:
  We report on the development of a technique for precise radial-velocity
measurements of cool stars and brown dwarfs in the near infrared. Our technique
is analogous to the Iodine (I2) absorption cell method that has proven so
successful in the optical regime. We rely on telluric CH4 absorption features
to serve as a wavelength reference, relative to which we measure Doppler shifts
of the CO and H2O features in the spectra of our targets. We apply this
technique to high-resolution (R~50,000) spectra near 2.3 micron of nine L
dwarfs taken with the Phoenix instrument on Gemini-South and demonstrate a
typical precision of 300 m/s. We conduct simulations to estimate our expected
precision and show our performance is currently limited by the signal-to-noise
of our data. We present estimates of the rotational velocities and systemic
velocities of our targets. With our current data, we are sensitive to
companions with M sin i > 2MJ in orbits with periods less than three days. We
identify no companions in our current data set. Future observations with
improved signal-to-noise should result in radial-velocity precision of 100 m/s
for L dwarfs.


title:
A Derivation of Einstein Gravity without the Axiom of Choice: Topology
  Hidden in GR

abstract:
  A derivation of the equations of motion of general relativity is presented
that does not invoke the Axiom of Choice, but requires the explicit
construction of a choice function q for continuous three-space regions. The
motivation for this (seemingly academic) endeavour is to take the background
independence intrinsic to Einstein gravity one step further, and to assure that
both the equations of motion and the way in which those equations of motion are
derived are as self-consistent as possible. That is, solutions to the equations
of motion of general relativity endow a three-space region with a physical and
distinguishing geometry in four-dimensional space-time. However, in order to
derive these equations of motion one should first be able to choose a
three-space region without having any prior knowledge of its physically
appropriate geometry. The expression of this choice process requires a
three-dimensional topological manifold Q, to which all considered three-space
regions belong, and that generates an equation of motion whose solutions are q.
These solutions relate the effects of curvature to the source term through the
topology of Q and constitute Einstein gravity. Q is given by 2T^3+3S^1xS^2, and
is embedded in four dimensions. This points toward a hidden topological content
for general relativity, best phrased as: Q and q provide a structure for how to
choose a three-space region irrespective of what geometric properties it has,
while at the same time Q and q determine that only GR can endow a three-space
with those geometric properties. In this sense, avoiding the Axiom of Choice
allows one to gain physical insight into GR. Possible links with holography are
pointed out.


title: The Self-injective Cluster Tilted Algebras

abstract:
  We are going to determine all the self-injective cluster tilted algebras. All
are of finite representation type and special biserial.


title: Multiple Entropy Measures for Multipartite Quantum Entanglement

abstract:
  A new entanglement measure, the multiple entropy measures (MEMS), is proposed
to quantify quantum entanglement of multi-partite quantum state. The MEMS is
vector-like with $m=[N/2]$, the integer part of $N/2$, components: $[S_1,
S_2,..., S_m]$, and the $i$-th component $S_i$ is the geometric mean of
$i$-body partial entropy of the system. The $S_i$ measures how strong an
arbitrary $i$ bodies from the system are entangled with the rest of the system.
The MEMS is not only transparent in physical picture, but also simple to
calculate. It satisfies the conditions for a good entanglement measure. We have
analyzed the entanglement properties of the GHZ-state, the W-states and
cluster-states under MEMS. The cluster-state is more entangled than the
GHZ-state and W-state under MEMS.


title: The Ladder Construction of Pruefer Modules

abstract:
  Let R be a ring (associative, with 1). A non-zero module M is said to be a
Pruefer module provided there exists a surjective, locally nilpotent
endomorphism with kernel of finite length. The aim of this note is construct
Pruefer modules starting from a pair of module homomorphisms w,v: U_0 -> U_1,
where w is injective and its cokernel is of finite length.


title: Renormalization of Gauge theories and the Hopf Algebra of Diagrams

abstract:
  In 1999 A. Connes and D. Kreimer have discovered a Hopf algebra structure on
the Feynman graphs of scalar field theory. They have found that the
renormalization can be interpreted as a solving of some Riemann - Hilbert
problem. In this work the generalization of their scheme to the case of
nonabelian gauge theories is proposed. The action of the gauge group on the
Hopf algebra is defined and the proof that this action is in consistent with
the Hopf algebra structure is given. The scetch of new proof of S-matrix, based
on the Hopf algebra is given.


title: Squares of White Noise, SL(2,C) and Kubo - Martin -Schwinger States

abstract:
  We investigate the structure of Kubo - Martin - Schwinger (KMS) states on
some extension of the universal enveloping algebra of SL(2,C}. We find that
there exists a one-to-one correspondence between the set of all covariant KMS
states on this algebra and the set of all probability measures d\mu on the real
half-line, which decrease faster than any inverse polynomial. This problem is
connected to the problem of KMS states on square of white noise algebra.


title: Microlens Parallax Measurements with a Warm Spitzer

abstract:
  Because Spitzer is an Earth-trailing orbit, losing about 0.1 AU/yr, it is
excellently located to perform microlens parallax observations toward the
Magellanic Clouds (LMC/SMC) and the Galactic bulge. These yield the so-called
``projected velocity'' of the lens, which can distinguish statistically among
different populations. A few such measurements toward the LMC/SMC would reveal
the nature of the lenses being detected in this direction (dark halo objects,
or ordinary LMC/SMC stars). Cool Spitzer has already made one such measurement
of a (rare) bright red-clump source, but warm (presumably less oversubscribed)
Spitzer could devote the extra time required to obtain microlens parallaxes for
the more common, but fainter, turnoff sources. Warm Spitzer could observe bulge
microlenses for 38 days per year, which would permit up to 24 microlens
parallaxes per year. This would yield interesting information on the disk mass
function, particularly old brown dwarfs, which at present are inaccessible by
other techniques. Target-of-Opportunity (TOO) observations should be divided
into RTOO/DTOO, i.e., ``regular'' and ``disruptive'' TOOs, as pioneered by the
Space Interferometry Mission (SIM). LMC/SMC parallax measurements would be
DTOO, but bulge measurements would be RTOO, i.e., they could be scheduled in
advance, without knowing exactly which star was to be observed.


title: Bulk viscosity in a cold CFL superfluid

abstract:
  We compute one of the bulk viscosity coefficients of cold CFL quark matter in
the temperature regime where the contribution of mesons, quarks and gluons to
transport phenomena is Boltzmann suppressed. In that regime dissipation occurs
due to collisions of superfluid phonons, the Goldstone modes associated to the
spontaneous breaking of baryon symmetry. We first review the hydrodynamics of
relativistic superfluids, and remind that there are at least three bulk
viscosity coefficients in these systems. We then compute the bulk viscosity
coefficient associated to the normal fluid component of the superfluid. In our
analysis we use Son's effective field theory for the superfluid phonon, amended
to include scale breaking effects proportional to the square of the strange
quark mass m_s. We compute the bulk viscosity at leading order in the scale
breaking parameter, and find that it is dominated by collinear splitting and
joining processes. The resulting transport coefficient is zeta=0.011 m_s^4/T,
growing at low temperature T until the phonon fluid description stops making
sense. Our results are relevant to study the rotational properties of a compact
star formed by CFL quark matter.


title: Precision Determination of the Top Quark Mass

abstract:
  The CDF and D0 collaborations have updated their measurements of the mass of
the top quark using proton-antiproton collisions at sqrt{s}=1.96TeV produced at
the Tevatron. The uncertainties in each of the of top-antitop decay channels
have been reduced. The new Tevatron average for the mass of the top quark based
on about 1/fb of data per experiment is 170.9+-1.8GeV/c^2.


title: A Note on Equimultiple Deformations

abstract:
  While the tangent space to an equisingular family of curves can be discribed
by the sections of a twisted ideal sheaf, this is no longer true if we only
prescribe the multiplicity which a singular point should have. However, it is
still possible to compute the dimension of the tangent space with the aid of
the equimulitplicity ideal. In this note we consider families L_m={(C,p) |
mult_p(C)=m} with C in some linear system |L| on a smooth projective surface S
and for a fixed positive integer m, and we compute the dimension of the tangent
space to L_m at a point (C,p) depending on whether p is a unitangential
singular point of C or not. We deduce that the expected dimension of L_m at
(C,p) in any case is just dim|L|+2-m*(m+1)/2. The result is used in the study
of triple-point defective surfaces in some joint papers with Luca Chiantini.


title: Triple-Point Defective Regular Surfaces

abstract:
  In this paper we study the linear series |L-3p| of hyperplane sections with a
triple point p of a surface S embedded via a very ample line bundle L for a
general point p. If this linear series does not have the expected dimension we
call (S,L) triple-point defective. We show that on a triple-point defective
regular surface through a general point every hyperplane section has either a
triple component or the surface is rationally ruled and the hyperplane section
contains twice a fibre of the ruling.


title: Triple-Point Defective Ruled Surfaces

abstract:
  In arXive:0705.3912 we studied triple-point defective very ample linear
systems on regular surfaces, and we showed that they can only exist if the
surface is ruled. In the present paper we show that we can drop the regularity
assumption, and we classify the triple-point defective very ample linear
systems on ruled surfaces.


title: Modular equations of order $p$ and Theta functions

abstract:
  An algorithm to obtain equations between theta functions with integral
characteristics evaluated at $\tau$ and $p\tau$ for $g>1$ is presented.


title: Testing Explanations of the $B\to\phi K^*$ Polarization Puzzle

abstract:
  $B\to\phi K^*$ ($\btos$) is three separate decays, one for each polarization
of the final-state vector mesons (one longitudinal, two transverse). It is
observed that the fraction of transverse decays, $\fT$, and the fraction of
longitudinal decays, $\fL$, are roughly equal: $\fTfL \simeq 1$, in opposition
to the naive expectation that $\fT \ll \fL$. If one requires a single
explanation of all polarization puzzles, two possibilities remain within the
standard model: penguin annihilation and rescattering. In this paper we examine
the predictions of these two explanations for $\fTfL$ in $\btod$ decays. In $B
\to \rho\rho$ decays, only $\bd \to \rho^0\rho^0$ can possibly exhibit a large
$\fTfL$. In B decays related by U-spin, we find two promising possibilities:
(i) $B^+ \to K^{*0} \rho^+$ ($\btos$) and $B^+ \to \Kbar^{*0} K^{*+}$ ($\btod$)
and (ii) $\bs \to K^{*0} \Kbar^{*0}$ ($\btos$) and $\bd \to \Kbar^{*0} K^{*0}$
($\btod$). The measurement of $\fTfL$ in these pairs of decays will allow us to
test penguin annihilation and rescattering. Finally, it is possible to
distinguish penguin annihilation from rescattering by performing a
time-dependent angular analysis of $\bd \to \Kbar^{*0} K^{*0}$.


title:
Analogue of superradiance effect in acoustic black hole in the presence
  of disclination

abstract:
  In this paper we invstigate the possibility of the acoustic analogue of a
phenomenon like superradiance, that is, the amplification of a sound wave by
reflection from the ergo-region of a rotating acoustic black hole in the fluid
"draining bathtub" model in the presence of a desclination be amplified or
reduced in agreement with the value of the deficit angle.


title:
Ly-alpha Emission-Line Galaxies at z = 3.1 in the Extended Chandra Deep
  Field South

abstract:
  We describe the results of an extremely deep, 0.28 deg^2 survey for z = 3.1
Ly-alpha emission-line galaxies in the Extended Chandra Deep Field South. By
using a narrow-band 5000 Anstrom filter and complementary broadband photometry
from the MUSYC survey, we identify a statistically complete sample of 162
galaxies with monochromatic fluxes brighter than 1.5 x 10^-17 ergs cm^-2 s^-1
and observers frame equivalent widths greater than 80 Angstroms. We show that
the equivalent width distribution of these objects follows an exponential with
a rest-frame scale length of w_0 = 76 +/- 10 Angstroms. In addition, we show
that in the emission line, the luminosity function of Ly-alpha galaxies has a
faint-end power-law slope of alpha = -1.49 +/- 0.4, a bright-end cutoff of log
L^* = 42.64 +/- 0.2, and a space density above our detection thresholds of 1.46
+/- 0.12 x 10^-3 h70^3 galaxies Mpc^-3. Finally, by comparing the emission-line
and continuum properties of the LAEs, we show that the star-formation rates
derived from Ly-alpha are ~3 times lower than those inferred from the
rest-frame UV continuum. We use this offset to deduce the existence of a small
amount of internal extinction within the host galaxies. This extinction,
coupled with the lack of extremely-high equivalent width emitters, argues that
these galaxies are not primordial Pop III objects, though they are young and
relatively chemically unevolved.


title: Transition maps between the 24 bases for a Leonard pair

abstract:
  Let $V$ denote a vector space with finite positive dimension. We consider a
pair of linear transformations $A : V \to V$ and $A^* : V \to V$ that satisfy
(i) and (ii) below:
  (i) There exists a basis for $V$ with respect to which the matrix
representing $A$ is irreducible tridiagonal and the matrix representing $A^*$
is diagonal.
  (ii) There exists a basis for $V$ with respect to which the matrix
representing $A^*$ is irreducible tridiagonal and the matrix representing $A$
is diagonal.
  We call such a pair a Leonard pair on $V$. In an earlier paper we described
24 special bases for $V$. One feature of these bases is that with respect to
each of them the matrices that represent $A$ and $A^*$ are (i) diagonal and
irreducible tridiagonal or (ii) irreducible tridiagonal and diagonal or (iii)
lower bidiagonal and upper bidiagonal or (iv) upper bidiagonal and lower
bidiagonal. For each ordered pair of bases among the 24, there exists a unique
linear transformation from $V$ to $V$ that sends the first basis to the second
basis; we call this the transition map. In this paper we find each transition
map explicitly as a polynomial in $A,A^*$.


title: On the Structure of Some Reduced Amalgamated Free Product C*-Algebras

abstract:
  We study some reduced free products of C*-algebras with amalgamations. We
give sufficient conditions for the positive cone of the K_0 group to be the
largest possible. We also give sufficient conditions for simplicity and
uniqueness of trace. We use the later result to give a necessary and sufficient
condition for simplicity and uniqueness of trace of the reduced C*-algebras of
the Baumslag-Solitar groups BS(m,n).


title: A convexity theorem for real projective structures

abstract:
  Given a finite collection P of convex n-polytopes in RP^n (n>1), we consider
a real projective manifold M which is obtained by gluing together the polytopes
in P along their facets in such a way that the union of any two adjacent
polytopes sharing a common facet is convex. We prove that the real projective
structure on M is (1) convex if P contains no triangular polytope, and (2)
properly convex if, in addition, P contains a polytope whose dual polytope is
thick. Triangular polytopes and polytopes with thick duals are defined as
analogues of triangles and polygons with at least five edges, respectively.


title: Remarks on Weyl geometry and quantum mechanics

abstract:
  A short survey of some material related to conformal general relativity
(CGR), integrable Weyl geometry, and Dirac-Weyl (DW) theory is given which
suggests that CGR is essentially equivalent to DW with quantum mass equivalent
to conformal mass, and various actions can be reformulated in terms of the
quantum potential.


title:
A Systematic Study of Departures from Chemical Equilibrium in the
  Atmospheres of Substellar Mass Objects

abstract:
  We present a systematic study of the spectral consequences of departures from
chemical equilibrium in the atmospheres of L and T dwarfs, and for even cooler
dwarfs. The temperature/pressure profiles of the non-equilibrium models are
fully consistent with the non-equilibrium chemistry. Our grid of
non-equilibrium models includes spectra for effective temperatures from 200 K
to 1800 K, three surface gravities, four possible values of the coefficient of
eddy diffusion in the radiative zone, and three different CO/CH$_4$ chemical
reaction prescriptions. We find that the non-equilibrium overabundance of CO
translates into flux suppressions in the M ($\sim4-$5 $\mu$m) band of at most
$\sim$40% between effective temperatures of 600 and 1800 K. The effect is
largest around $T_{\rm eff} \approx 1100$ K. The underabundance of ammonia due
to non-equilibrium chemistry translates into flux enhancements of no more than
$\sim$20% for the $T_{\rm eff}$ range from 300 to 1800 K, with the largest
effects at the lowest values of $T_{\rm eff}$. The magnitude of the departure
from chemical equilibrium increases with decreasing gravity, with increasing
eddy diffusion coefficient, and with decreasing speed of the CO/CH$_4$
reaction. Though these effects are modest, they lead to better fits with the
measured T dwarf spectra. Furthermore, the suppression in the M band due to
non-equilibrium enhancements in the CO abundance disappears below $\sim$500 K,
and is only partial above $\sim$500 K, preserving the M band flux as a useful
diagnostic of cool atmospheres and maintaining its importance for searches for
brown dwarfs cooler than T dwarfs.


title: Improving Intrinsic Decoherence in Multi-Quantum-Dot Charge Qubits

abstract:
  We discuss decoherence in charge qubits formed by multiple lateral quantum
dots in the framework of the spin-boson model and the Born-Markov
approximation. We consider the intrinsic decoherence caused by the coupling to
bulk phonon modes. Two distinct quantum dot configurations are studied: (i)
Three quantum dots in a ring geometry with one excess electron in total and
(ii) arrays of quantum dots where the computational basis states form multipole
charge configurations. For the three-dot qubit, we demonstrate the possibility
of performing one- and two-qubit operations by solely tuning gate voltages.
Compared to the proposal by DiVincenzo {\it et al.} involving a linear
three-dot spin qubit, the three-dot charge qubit allows for less overhead on
two-qubit operations. For small interdot tunnel amplitudes, the three-dot
qubits have $Q$ factors much higher than those obtained for double dot systems.
The high-multipole dot configurations also show a substantial decrease in
decoherence at low operation frequencies when compared to the double-dot qubit.


title: Dissipation in Mesoscopic Superconductors with Ac Magnetic Fields

abstract:
  The response of mesoscopic superconductors to an ac magnetic field is
investigated both experimentally and with numerical simulations. We study small
square samples with dimensions of the order of the penetration depth. We obtain
the ac susceptibitity $\chi=\chi'+i\chi''$ at microwave frequencies as a
function of the dc magnetic field $H_{dc}$. We find that the dissipation, given
by $\chi''$, has a non monotonous behavior in mesoscopic samples. In the
numerical simulations we obtain that the dissipation increases before the
penetration of vortices and then it decreases abruptly after vortices have
entered the sample. This is verified experimentally, where we find that
$\chi''$ has strong oscillations as a function of $H_{dc}$ in small squares of
Pb.


title:
Symmetrized models of last passage percolation and non-intersecting
  lattice paths

abstract:
  It has been shown that the last passage time in certain symmetrized models of
directed percolation can be written in terms of averages over random matrices
from the classical groups $U(l)$, $Sp(2l)$ and $O(l)$. We present a theory of
such results based on non-intersecting lattice paths, and integration
techniques familiar from the theory of random matrices. Detailed derivations of
probabilities relating to two further symmetrizations are also given.


title:
Entropy Change through Rayleigh-B\'enard Convective Transition with
  Rigid Boundaries

abstract:
  The previous investigation on Rayleigh-B\'enard convection of a dilute
classical gas [T. Kita: J. Phys. Soc. Jpn. {\bf 75} (2006) 124005] is extended
to calculate entropy change of the convective transition with the rigid
boundaries. We obtain results qualitatively similar to those of the stress-free
boundaries. Above the critical Rayleigh number, the roll convection is realized
among possible steady states with periodic structures, carrying the highest
entropy as a function of macroscopic mechanical variables.


title: Standing and travelling waves in cylindrical Rayleigh-Benard convection

abstract:
  The Boussinesq equations for Rayleigh-Benard convection are simulated for a
cylindrical container with an aspect ratio near 1.5. The transition from an
axisymmetric stationary flow to time-dependent flows is studied using nonlinear
simulations, linear stability analysis and bifurcation theory. At a Rayleigh
number near 25,000, the axisymmetric flow becomes unstable to standing or
travelling azimuthal waves. The standing waves are slightly unstable to
travelling waves. This scenario is identified as a Hopf bifurcation in a system
with O(2) symmetry.


title:
Dissipative Hofstadter Model at the Magic Points and Critical Boundary
  Sine-Gordon Model

abstract:
  The dissipative Hofstadter model describes quantum particles moving in two
dimensions subject to a uniform magnetic field, a periodic potential and a
dissipative force. We discuss the dissipative Hofstadter model in the framework
of the boundary state formulation in string theory and construct exact boundary
states for the model at the magic points by using the fermion representation.
The dissipative Hofstadter model at magic points is shown to be equivalent to
the critical boundary sine-Gordon model.


title: Speculations on some characteristic properties of numbers

abstract:
  Translation of the Latin original "Speculationes circa quasdam insignes
proprietates numerorum" (1784). E564 in the Enestrom index. In this paper Euler
talks about Farey sequences and proves some results about the phi function, the
number of positive integers less than and relatively prime to an integer. Euler
uses the notation pi instead of phi.


title: Boundary State for Dissipative Quantum Mechanics and Thirring Model

abstract:
  The dissipative quantum system is studied using the Thirring model with a
boundary mass. At the critical point where the Thirring coupling vanishes, the
theory reduces to a free fermion theory with a boundary mass. We construct
boundary states for the dissipative quantum systems in one dimension, which
describes the system off the critical points as well as at the critical points.


title: Row Ideals and Fibers of Morphisms

abstract:
  We study the fibers of a projective morphism and some related algebraic
problems. We characterize the analytic spread of a homogeneous ideal through
properties of its syzygy matrix. Powers of linearly presented ideals need not
be linearly presented, but we identify a weaker linearity property that is
preserved under taking powers.


title: p^k-torsion of genus two curves over F_{p^m}

abstract:
  We determine the isogeny classes of abelian surfaces over F_q whose group of
F_q-rational points has order divisible by q^2. We also solve the same problem
for Jacobians of genus-2 curves.


title: Emergent Universe in Brane World Scenario

abstract:
  A model of an emergent universe is obtained in brane world. Here the bulk
energy is in the form of cosmological constant, while the brane consists of the
Chaplygin gas with the modified equation of state such as $p=A\rho-B/\rho$.
Initially the brane matter for the special choice $A=1/3$ may have negative or
positive pressure depending on the relative magnitudes of the parameter $B$ and
the cosmological constant of the bulk, while asymptotically in future the brane
world approaches a $\Lambda$CDM model.


title: Generalized CRF-structures

abstract:
  A generalized F-structure is a complex, isotropic subbundle $E$ of
$T_cM\oplus T^*_cM$ ($T_cM=TM\otimes_{\mathds{R}}\mathds{C}$ and the metric is
defined by pairing) such that $E\cap\bar E^{\perp}=0$. If $E$ is also closed by
the Courant bracket, $E$ is a generalized CRF-structure. We show that a
generalized F-structure is equivalent with a skew-symmetric endomorphism $\Phi$
of $TM\oplus T^*M$ that satisfies the condition $\Phi^3+\Phi=0$ and we express
the CRF-condition by means of the Courant-Nijenhuis torsion of $\Phi$. The
structures that we consider are generalizations of the F-structures defined by
Yano and of the CR (Cauchy-Riemann) structures. We construct generalized
CRF-structures from: a classical F-structure, a pair $(\mathcal{V},\sigma)$
where $\mathcal{V}$ is an integrable subbundle of $TM$ and $\sigma$ is a 2-form
on $M$, a generalized, normal, almost contact structure of codimension $h$. We
show that a generalized complex structure on a manifold $\tilde M$ induces
generalized CRF-structures into some submanifolds $M\subseteq\tilde M$.
Finally, we consider compatible, generalized, Riemannian metrics and we define
generalized CRFK-structures that extend the generalized K\"ahler structures and
are equivalent with quadruples $(\gamma,F_+,F_-,\psi)$, where $(\gamma,F_\pm)$
are classical, metric CRF-structures, $\psi$ is a 2-form and some conditions
expressible in terms of the exterior differential $d\psi$ and the
$\gamma$-Levi-Civita covariant derivative $\nabla F_\pm$ hold. If $d\psi=0$,
the conditions reduce to the existence of two partially K\"ahler reductions of
the metric $\gamma$. The paper ends by an Appendix where we define and
characterize generalized Sasakian structures.


title: Conversion of $^{40}$K-$^{87}$Rb mixtures into stable molecules

abstract:
  We study the conversion of $^{40}$K and $^{87}$Rb atoms into stable molecules
through the stimulated Raman adiabatic passage (STIRAP) in photoassociation
assisted with Feshbach resonance. Starting with the mean-field Langrange
density, we show that the atom-to-molecule conversion efficiency by STIRAP
aided by Feshbach resonance is much larger than that by bare Feshbach
resonance. We also study the influence of the population imbalance on the
atom-to-molecule conversion.


title: \Lambda^{\ast}-hypernuclei in phenomenological nuclear forces

abstract:
  The $\Lambda^{\ast}$-hypernuclei, which are bound states of $\Lambda(1405)$
and nuclei, are discussed as a possible interpretation of the $\bar{K}$-nuclei.
The Bonn and Nijmegen potentials are extended and used as a phenomenological
potential between $\Lambda^{\ast}$ and $N$. The $K$-exchange potential is also
considered in the $\Lambda^{\ast}$ and $N$ interaction. The two-body
($\Lambda^{\ast}N$) and three-body ($\Lambda^{\ast}NN$) systems are solved by a
variational method. It is shown that the spin and isospin of the ground states
are assigned as $\Lambda^{\ast}N(S=1, I=1/2)$ and $\Lambda^{\ast}NN(S=3/2,
I=0)$, respectively. The binding energies of the $\Lambda^{\ast}$-hypernuclei
are discussed in comparison with experiment.


title: On the principal ideal theorem in arithmetic topology

abstract:
  In this paper we state and prove the analogous of the principal ideal theorem
of algebraic number theory for the case of 3-manifolds from the point of view
of arithmetic topology.


title:
Symmetric Crystals and LLTA Type Conjectures for the Affine Hecke
  Algebras of Type B

abstract:
  In the previous paper "Symmetric Crystals and Affine Hecke Algebras of Type
B", we formulated a conjecture on the relations between certain classes of
irreducible representations of affine Hecke algebras of type B and symmetric
crystals for $\gl_\infty$. In the first half of this paper (sections 2 and 3),
we give a survey of the LLTA type theorem of the affine Hecke algebra of type
$A$. In the latter half (sections 4, 5 and 6), we review the construction of
the symmetric crystals and the LLTA type conjectures for the affine Hecke
algebra of type $B$.


title:
Quark Loop Contributions to Neutron, Deuteron, and Mercury EDMs from
  Supersymmetry without R parity

abstract:
  We present a detailed analysis of the neutron, deuteron and mercury electric
dipole moment from supersymmetry without R parity, focusing on the quark-scalar
loop contributions. Being proportional to top Yukawa and top mass, such
contributions are often large. Analytical expressions illustrating the explicit
role of the R-parity violating parameters are given following perturbative
diagonalization of mass-squared matrices for the scalars. Dominant
contributions come from the combinations $B_i \lambda^{\prime}_{ij1}$ for which
we obtain robust bounds. It turns out that neutron and deuteron EDMs receive
much stronger contributions than mercury EDM and any null result at the future
deuteron EDM experiment or Los Alamos neutron EDM experiment can lead to
extra-ordinary constraints on RPV parameter space. Even if R-parity violating
couplings are real, CKM phase does induce RPV contribution and for some cases
such a contribution is as strong as contribution from phases in the R-parity
violating couplings.Hence, we have bounds directly on $|B_i
\lambda^{\prime}_{ij1}|$ even if the RPV parameters are all real.
Interestingly, even if slepton mass and/or $\mu_0$ is as high as 1 TeV, it
still leads to neutron EDM that is an order of magnitude larger than the
sensitivity at Los Alamos experiment. Since the results are not much sensitive
to $\tan \beta$, our constraints will survive even if other observables tighten
the constraints on $\tan \beta$.


title:
Near-Infrared Coronagraphic Observations of the T Tauri Binary System UY
  Aur

abstract:
  We present a near-infrared image of UY Aur, a 0.9" separated binary system,
using the Coronagraphic Imager with Adaptive Optics on the Subaru Telescope.
Thanks to adaptive optics, the spatial resolution of our image was ~0.1" in the
full width at half maximum of the point spread function, the highest achieved.
By comparison with previous measurements, we estimated that the orbital period
is ~1640 yrs and the total mass of the binary is ~1.73 solar mass. The observed
H-band magnitude of the secondary varies by as much as 1.3 mag within a decade,
while that of the primary is rather stable. This inconstancy may arise from
photospheric variability caused by an uneven accretion rate or from the
rotation of the secondary. We detected a half-ring shaped circumbinary disk
around the binary with a bright southwest part but a barely detectable
northeast portion. The brightness ratio is ~57. Its inner radius and
inclination are about 520 AU and 42, respectively. The disk is not uniform but
has remarkable features, including a clumpy structure along the disk,
circumstellar material inside the inner cavity, and an extended armlike
structure. The circumstellar material inside the cavity probably corresponds to
a clump or material accreting from the disk onto the binary. The armlike
structure is a part of the disk, created by the accretion from the outer region
of the disk or encounters with other stellar systems.


title: Kinetic ferromagnetism on a kagome lattice

abstract:
  We study strongly correlated electrons on a kagome lattice at 1/6 and 1/3
filling. They are described by an extended Hubbard Hamiltonian. We are
concerned with the limit |t|<<V<<U with hopping amplitude t, nearest-neighbor
repulsion V and on-site repulsion U. We derive an effective Hamiltonian and
show, with the help of the Perron-Frobenius theorem, that the system is
ferromagnetic at low temperatures. The robustness of ferromagnetism is
discussed and extensions to other lattices are indicated.


title:
Electromagnetic field quantization in an anisotropic and inhomogeneous
  magnetodielectric

abstract:
  The electromagnetic field in an anisotropic and inhomogeneous
magnetodielectric is quantized by modelling the medium with two independent
quantum fields. Some coupling tensors coupling the electromagnetic field with
the medium are introduced. Electric and magnetic polarizations are obtained in
terms of the ladder operators of the medium and the coupling tensors
explicitly. Using a minimal coupling scheme for electric and magnetic
interactions, the Maxwell equations and the constitutive equations of the
medium are obtained. The electric and magnetic susceptibility tensors of the
medium are calculated in terms of the coupling tensors. Finally the efficiency
of the approach is elucidated by some examples.


title: Physical effects of collisions in the Kuiper belt

abstract:
  Collisions are a major modification process over the history of the Kuiper
Belt. Recent work illuminates the complex array of possible outcomes of
individual collisions onto porous, volatile bodies. The cumulative effects of
such collisions on the surface features, composition, and internal structure of
Kuiper Belt Objects are not yet known. In this chapter, we present the current
state of knowledge of the physics of cratering and disruptive collisions in KBO
analog materials. We summarize the evidence for a rich collisional history in
the Kuiper Belt and present the range possible physical modifications on
individual objects. The question of how well present day bodies represent
primordial planetesimals can be addressed through future studies of the coupled
physical and collisional evolution of Kuiper Belt Objects.


title: Heavy chiral bosons search at hadron colliders

abstract:
  The production of new spin-1 chiral bosons at the hadron colliders, the
Fermilab Tevatron and the CERN LHC, is considered. The masses of the chiral
bosons can be determined on the basis of experimental data of precise
low-energy experiments, which already indicate indirectly their existence. They
can explain, for example, the serious 4.5 sigma discrepancy between the
measured and the predicted two pion branching ratio of the tau decay and the
sign of the 3.3 sigma deviation of the muon (g-2) theoretical prediction from
the experimental value. Quantitative evaluations of the various differential
cross-sections of the chiral boson production at hadron colliders are made
using the CalcHEP package. It is noteworthy that the Tevatron data already hint
the existence of the lightest charged chiral boson with a mass around 500 GeV.
New Tevatron data and the LHC results will definitely confirm or reject this
indication. In the positive case the LHC would be able to discover all
predicted charged and neutral chiral bosons spanning in mass up to 1 TeV.


title:
Peculiar Motions in the Region of the Ursa Major Supercluster of
  Galaxies

abstract:
  We have investigated the peculiar motions of clusters of galaxies in the Ursa
Major (UMa) supercluster and its neighborhood. Based on SDSS (Sloan Digital Sky
Survey) data, we have compiled a sample of early-type galaxies and used their
fundamental plane to determine the cluster distances and peculiar velocities.
The samples of early-type galaxies in the central regions (within R_200) of 12
UMa clusters of galaxies, in three main subsystems of the supercluster -- the
filamentary structures connecting the clusters, and in nine clusters from the
nearest UMa neighborhood have similar parameters. The fairly high overdensity
(3 by the galaxy number and 15 by the cluster number) suggests that the
supercluster as a whole is gravitationally bound, while no significant peculiar
motions have been found: the peculiar velocities do not exceed the measurement
errors by more than a factor of 1.5-2. The mean random peculiar velocities of
clusters and the systematic deviations from the overall Hubble expansion in the
supercluster are consistent with theoretical estimates. For the possible
approach of the three UMa subsystems to be confirmed, the measurement accuracy
must be increased by a factor of 2-3.


title: Interactions of Unparticles with Standard Model Particles

abstract:
  We study interactions of unparticles ${\cal {U}}$ of dimension $d_{\cal {U}}$
due to Georgi with Standard Model (SM) fields through effective operators. The
unparticles describe the low energy physics of a non-trivial scale invariant
sector. Since unparticles come from beyond the SM physics, it is plausible that
they transform as a singlet under the SM gauge group. This helps tremendously
in limiting possible interactions. We analyze interactions of scalar ${\cal
{U}}$, vector ${\cal {U}}$$^\mu$ and spinor ${\cal {U}}$$^s$ unparticles with
SM fields and derivatives up to dimension four. Using these operators, we
discuss different features of producing unparticles at $e^+ e^-$ collider and
other phenomenologies. It is possible to distinguish different unparticles
produced at $e^+e^-$ collider by looking at various distributions of production
cross sections.


title: Gauge-invariant soft modes in Yang-Mills theory

abstract:
  A gauge-invariant saddle point expansion for the Yang-Mills vacuum transition
amplitude on the basis of the squeezed approximation to the vacuum wave
functional is outlined. This framework allows the identification of
gauge-invariant infrared degrees of freedom which arise as dominant sets of
gauge field orbits and provide the principal input for an essentially
analytical treatment of soft amplitudes. The analysis of the soft modes sheds
new light on how vacuum fields organize themselves into collective excitations
and yields a gauge-invariant representation of instanton and meron effects as
well as a new physical interpretation for Faddeev-Niemi knots.


title: Degeneration of A-infinity modules

abstract:
  In this paper we use A-infinity modules to study the derived category of a
finite dimensional algebra over an algebraically closed field. We study
varieties parameterising A-infinity modules. These varieties carry an action of
an algebraic group such that orbits correspond to quasi-isomorphism classes of
complexes in the derived category. We describe orbit closures in these
varieties, generalising a result of Zwara and Riedtmann for modules.


title: Translating a first-order modal language to relational algebra

abstract:
  This paper is about Kripke structures that are inside a relational database
and queried with a modal language. At first the modal language that is used is
introduced, followed by a definition of the database and relational algebra.
Based on these definitions two things are presented: a mapping from components
of the modal structure to a relational database schema and instance, and a
translation from queries in the modal language to relational algebra queries.


title:
The role of $N^*(1535)$ in $pp \to pp \phi$ and $\pi^- p \to n \phi$
  reactions

abstract:
  The near threshold $\phi$ meson production in proton-proton and $\pi^- p$
collisions is studied with the assumption that the production mechanism is due
to the sub-$N\phi$-threshold $N^*(1535)$ resonance. The $\pi^0$, $\eta$ and
$\rho^0$-meson exchanges for proton-proton collisions are considered. It is
shown that the contribution to the $pp \to pp \phi$ reaction from the t-channel
$\pi^0$ meson exchange is dominant. With a significant $N^*(1535)N\phi$
coupling ($g^2_{N^*(1535)N \phi}/4 \pi$ = 0.13), both $pp \to pp \phi$ and
$\pi^- p \to n \phi$ data are very well reproduced. The significant coupling of
the $N^*(1535)$ resonance to $N \phi$ is compatible with previous indications
of a large $s \bar{s}$ component in the quark wave function of the $N^*(1535)$
resonance and may be the real origin of the significant enhancement of the
$\phi$ production over the naive OZI-rule predictions.


title:
A non factorized calculation of the process ^3He(e,e'p)^2H at medium
  energies

abstract:
  The exclusive process ^3He(e,e^\prime p)^2H has been analyzed using realistic
few-body wave functions corresponding to the AV18 interaction and treating the
final state interaction (FSI) within the Eikonal Approximation to describe the
multiple rescattering of the struck nucleon with the nucleons of the spectator
two-nucleon system. Calculations have been performed in momentum space so that
the nucleon electromagnetic current could be left in the fully covariant form
avoiding by this way non relativistic reductions and the factorization
approximation. The results of calculations, which are compared with recent JLab
experimental data, show that the left-right asymmetry exhibit a clear
dependence upon the multiple scattering in the final state and demonstrate the
breaking down of the factorization approximation at \phi=0 i.e. for "negative"
and large \geq 300MeV/c values of the missing momentum.


title:
Amplitude Damping for single-qubit System with single-qubit mixed-state
  Environment

abstract:
  We study a generalized amplitude damping channel when environment is
initially in the single-qubit mixed state. Representing the affine
transformation of the generalized amplitude damping by a three-dimensional
volume, we plot explicitly the volume occupied by the channels simulatable by a
single-qubit mixed-state environment. As expected, this volume is embedded in
the total volume by the channels which is simulated by two-qubit enviroment.
The volume ratio is approximately 0.08 which is much smaller than 3/8, the
volume ratio for generalized depolarizing channels.


title: On the Weinstein conjecture in higher dimensions

abstract:
  The existence of a "Plastikstufe" for a contact structure implies the
Weinstein conjecture for all supporting contact forms.


title: The Cones associated to some Transversal Polymatroids

abstract:
  In this paper we describe the facets cone associated to transversal
polymatroid presented by $\mathcal{A} =
\{\{1,2\},\{2,3\},...,\{n-1,n\},\{n,1\}\}.$ Using the Danilov-Stanley theorem
to characterize the canonicale module, we deduce that the base ring associated
to this polymatroid is Gorenstein ring. Also, starting from this polymatroid we
describe the transversal polymatroids with Gorenstein base ring in dimension 3
and with the help $\it Normaliz$ in dimension 4.


title:
The transition temperature of Ising ferromagnetic thin film with
  aniaxial anisotropy

abstract:
  The magnetic properties in the Ising ferromagnetic thin films are studied. By
transfer matrix method, the transition temperatures are calculated as a
function of the intra- and interlayer exchange interactions. The transition
temperatures in the Ising ferromagnetic thin films with uniaxial anisotropy are
also studied. The results show that the transition temperature changes with the
film thickness.


title: Boson Mott insulators at finite temperatures

abstract:
  We discuss the finite temperature properties of ultracold bosons in optical
lattices in the presence of an additional, smoothly varying potential, as in
current experiments. Three regimes emerge in the phase diagram: a
low-temperature Mott regime similar to the zero-temperature quantum phase, an
intermediate regime where MI features persist, but where superfluidity is
absent, and a thermal regime where features of the Mott insulator state have
disappeared. We obtain the thermodynamic functions of the Mott phase in the
latter cases. The results are used to estimate the temperatures achieved by
adiabatic loading in current experiments. We point out the crucial role of the
trapping potential in determining the final temperature, and suggest a scheme
for further cooling by adiabatic decompression.


title: Visualizing the geometry of state space in plane Couette flow

abstract:
  Motivated by recent experimental and numerical studies of coherent structures
in wall-bounded shear flows, we initiate a systematic exploration of the
hierarchy of unstable invariant solutions of the Navier-Stokes equations. We
construct a dynamical, 10^5-dimensional state-space representation of plane
Couette flow at Re = 400 in a small, periodic cell and offer a new method of
visualizing invariant manifolds embedded in such high dimensions. We compute a
new equilibrium solution of plane Couette flow and the leading eigenvalues and
eigenfunctions of known equilibria at this Reynolds number and cell size. What
emerges from global continuations of their unstable manifolds is a surprisingly
elegant dynamical-systems visualization of moderate-Reynolds turbulence. The
invariant manifolds tessellate the region of state space explored by
transiently turbulent dynamics with a rigid web of continuous and discrete
symmetry-induced heteroclinic connections.


title: Photon Acceleration at Shock Breakout of Trans-Relativistic Supernova

abstract:
  The predicted thermal flash from SN shock breakout might have been detected
for the first time by Swift in GRB 060218/SN 2006aj. The detected thermal X-ray
emission in this event implies emergence of a trans-relativistic (TR) SN shock
with kinetic energy of E_k>1E49 erg. During TRSN shock breakout, the thermal
photons could be "accelerated" by the shock through repeated bulk Compton
scattering, forming a nonthermal gamma/X-ray component with dominant energy
over thermal one. This mechanism of "photon acceleration" at TRSN shock
breakout might also account for gamma-rays in the other similar low-luminosity
GRBs, implying that they are atypical GRBs with only TR outflows. TRSNe form a
peculiar type of SNe with large kinetic energy, >1E49 erg, in TR ejecta,
\Gamma\beta ~2.


title:
Existence and Decay of Solutions of a Nonlinear Viscoelastic Problem
  with a Mixed Nonhomogeneous Condition

abstract:
  We study the initial-boundary value problem for a nonlinear wave equation
given by u_{tt}-u_{xx}+\int_{0}^{t}k(t-s)u_{xx}(s)ds+ u_{t}^{q-2}u_{t}=f(x,t,u)
, 0 < x < 1, 0 < t < T, u_{x}(0,t)=u(0,t), u_{x}(1,t)+\eta u(1,t)=g(t),
u(x,0)=\^u_{0}(x), u_{t}(x,0)={\^u}_{1}(x), where \eta \geq 0, q\geq 2 are
given constants {\^u}_{0}, {\^u}_{1}, g, k, f are given functions. In part I
under a certain local Lipschitzian condition on f, a global existence and
uniqueness theorem is proved. The proof is based on the paper [10] associated
to a contraction mapping theorem and standard arguments of density. In Part} 2,
under more restrictive conditions it is proved that the solution u(t) and its
derivative u_{x}(t) decay exponentially to 0 as t tends to infinity.


title:
A superfluid helium converter for accumulation and extraction of
  ultracold neutrons

abstract:
  We report the first successful extraction of accumulated ultracold neutrons
(UCN) from a converter of superfluid helium, in which they were produced by
downscattering neutrons of a cold beam from the Munich research reactor.
Windowless UCN extraction is performed in vertical direction through a
mechanical cold valve. This prototype of a versatile UCN source is comprised of
a novel cryostat designed to keep the source portable and to allow for rapid
cooldown. We measured time constants for UCN storage and extraction into a
detector at room temperature, with the converter held at various temperatures
between 0.7 and 1.3 K. The UCN production rate inferred from the count rate of
extracted UCN is close to the theoretical expectation.


title: New Examples of Biharmonic Submanifolds in $CP^n$ and $S^{2n+1}$

abstract:
  We construct biharmonic real hypersurfaces and Lagrangian submanifolds of
Clifford torus type in $CP^n$ via the Hopf fibration; and get new examples of
biharmonic submanifolds in $S^{2n+1}$ as byproducts .


title:
Mapping electron delocalization by charge transport spectroscopy in an
  artificial molecule

abstract:
  In this letter we present an experimental realization of the quantum
mechanics textbook example of two interacting electronic quantum states that
hybridize forming a molecular state. In our particular realization, the quantum
states themselves are fabricated as quantum dots in a molecule, a carbon
nanotube.
  For sufficient quantum-mechanical interaction (tunnel coupling) between the
two quantum states, the molecular wavefunction is a superposition of the two
isolated (dot) wavefunctions. As a result, the electron becomes delocalized and
a covalent bond forms.
  In this work, we show that electrical transport can be used as a sensitive
probe to measure the relative weight of the two components in the superposition
state as a function of the gate-voltages.
  For the field of carbon nanotube double quantum dots, the findings represent
an additional step towards the engineering of quantum states.


title: Classification of manifolds with weakly 1/4-pinched curvatures

abstract:
  We show that a compact Riemannian manifold with weakly 1/4-pinched sectional
curvatures is either locally symmetric or diffeomorphic to a space form.


title: Realization of an Economical Polymer Optical Fiber Demultiplexer

abstract:
  Polymer Optical Fiber (POF) can be and are being used in various fields of
applications. Two of the main fields are the automotive and the home
entertainment sector. The POF can be applied in several different optical
communication systems as automotive multi-media busses or in-house Ethernet
systems.
  The requirements of bandwidth are increasing very fast in these sectors and
therefore solutions that satisfy these demands are of high actuality. One
solution is to use the wavelength division multiplexing (WDM) technique. Here,
several different wavelengths can carry information over one POF fiber. All
wavelengths that are transmitted over the fiber, must be separated at the
receiver to regain and redirect the information channels. These separators are
so-called Demultiplexers.
  There are several systems available on the market, which are all afflicted
with certain disadvantages. But all these solutions have one main disadvantage,
they are all too expensive for most of the applications mentioned above. So the
goal of this study is to develop an economical Demultiplexer for WDM
transmission over POF.
  The main idea is to separate the chromatic light in its monochromatic
components with the help of a prism with low reciprocal dispersive power. The
prism and the other assemblies, which are needed to adjust the optical path,
should be manufactured in injection molding technique. This manufacturing
technique is a very simple and economical way to produce a mass production
applicable Demultiplexer for POF.


title: In-medium nuclear interactions of low-energy hadrons

abstract:
  Experimental and theoretical developments of the last decade in the study of
exotic atoms and some related low-energy reactions are reviewed, in order to
provide information on the in-medium hadron-nucleon t matrix over a wide range
of densities up to central nuclear densities. In particular, we review pionic
deeply bound atomic states and related evidence for partial restoration of
chiral symmetry in dense nuclear matter. The case for relatively narrow deeply
bound atomic states for antikaons and antiprotons is made, based on the physics
of strong nuclear absorption. Recent experimental suggestions for signals of
antikaon-nuclear deeply bound states are reviewed, and dynamical models for
calculating binding energies, widths and densities of antikaon nuclear states
are discussed. Specific features of low-energy in-medium interactions of kaons,
antiprotons and of Sigma hyperons are discussed, and suggestions to study
experimentally Cascade atoms are reviewed.


title:
Determination of the Far-Infrared Cosmic Background Using COBE/DIRBE and
  WHAM Data

abstract:
  Determination of the cosmic infrared background (CIB) at far infrared
wavelengths using COBE/DIRBE data is limited by the accuracy to which
foreground interplanetary and Galactic dust emission can be modeled and
subtracted. Previous determinations of the far infrared CIB (e.g., Hauser et
al. 1998) were based on the detection of residual isotropic emission in skymaps
from which the emission from interplanetary dust and the neutral interstellar
medium were removed. In this paper we use the Wisconsin H-alpha Mapper (WHAM)
Northern Sky Survey as a tracer of the ionized medium to examine the effect of
this foreground component on determination of the CIB. We decompose the DIRBE
far infrared data for five high Galactic latitude regions into H I and H-alpha
correlated components and a residual component. We find the H-alpha correlated
component to be consistent with zero for each region, and we find that addition
of an H-alpha correlated component in modeling the foreground emission has
negligible effect on derived CIB results. Our CIB detections and 2 sigma upper
limits are essentially the same as those derived by Hauser et al. and are given
by nu I_nu (nW m-2 sr-1) < 75, < 32, 25 +- 8, and 13 +- 3 at 60, 100, 140, and
240 microns, respectively. Our residuals have not been subjected to a detailed
anisotropy test, so our CIB results do not supersede those of Hauser et al. We
derive upper limits on the 100 micron emissivity of the ionized medium that are
typically about 40% of the 100 micron emissivity of the neutral atomic medium.
This low value may be caused in part by a lower dust-to-gas mass ratio in the
ionized medium than in the neutral medium, and in part by a shortcoming of
using H-alpha intensity as a tracer of far infrared emission.


title: Circumventing Astrophysical Bounds Upon PVLAS Experiment

abstract:
  We study the possibility of evading astrophysical bound on light
pseudoscalars. We argue that the solar bounds can be evaded if we have a
sufficiently strong self-coupling of the pseudoscalars. The required coupling
does not conflict with any known experimental bounds. We also show that it is
possible to find a coupling range such that the recent PVLAS experiment is not
in conflict with any astrophysical bounds.


title:
Equation of state of the hot dense matter in a multi-phase transport
  model

abstract:
  Within the framework of a multi-phase transport model, we study the equation
of state and pressure anisotropy of the hot dense matter produced in central
relativistic heavy ion collisions. Both are found to depend on the
hadronization scheme and scattering cross sections used in the model.
Furthermore, only partial thermalization is achieved in the produced matter as
a result of its fast expansion.


title: Eigenvalue estimates for magnetic Schroedinger operators in domains

abstract:
  Inequalities are derived for sums and quotients of eigenvalues of magnetic
Schroedinger operators with non-negative electric potentials in domains. The
bounds reflect the correct order of growth in the semi-classical limit.


title: VLA observations of candidate high-mass protostellar objects at 7 mm

abstract:
  We present radio continuum observations at 7 mm made using the Very Large
Array towards three massive star forming regions thought to be in very early
stages of evolution selected from the sample of Sridharan et al. (2002).
Emission was detected towards all three sources (IRAS 18470-0044, IRAS
19217+1651 and IRAS 23151+5912). We find that in all cases the 7 mm emission
corresponds to thermal emission from ionized gas. The regions of ionized gas
associated with IRAS 19217+1651 and IRAS 23151+5912 are hypercompact with
diameters of 0.009 and 0.0006 pc, and emission measures of 7.0 x 10^8 and 2.3 x
10^9 pc cm^(-6), respectively.


title: On dynamics of multi-phase elastic-plastic media

abstract:
  The paper is concerned with dynamics of multi-phase media consisting of a
solid permeable material and a compressible Newtonian fluid. Governing
macroscopic equations are derived starting from the space-averaged microscopic
mass and momentum balances. The Reynolds stress models (i.e., momentum
dispersive fluxes) are discussed, and a suitable model is developed. In the
case of granular media the solid constituent is considered as an
elastic-plastic matrix, and the yield condition is approximated by Coulomb
friction law. It is revealed that the classical principle of maximum plastic
work is not, in general, valid for granular media, and an appropriate
variational principle is developed. This novel principle coincides with the
maximum plastic work principle for the case of cohesionless and free from
internal friction granular media.


title:
Global Attractors and Determining Modes for the 3D Navier-Stokes-Voight
  Equations

abstract:
  We investigate the long-term dynamics of the three-dimensional
Navier-Stokes-Voight model of viscoelastic incompressible fluid. Specifically,
we derive upper bounds for the number of determining modes for the 3D
Navier-Stokes-Voight equations and for the dimension of a global attractor of a
semigroup generated by these equations. Viewed from the numerical analysis
point of view we consider the Navier-Stokes-Voight model as a non-viscous
(inviscid) regularization of the three-dimensional Navier-Stokes equations.
Furthermore, we also show that the weak solutions of the Navier-Stokes-Voight
equations converge, in the appropriate norm, to the weak solutions of the
inviscid simplified Bardina model, as the viscosity coefficient $\nu \to 0$.


title:
On the properties of the Ernst-Manko-Ruiz equatorially antisymmetric
  solutions

abstract:
  Two new equatorially antisymmetric solutions recently published by Ernst et
al are studied. For both solutions the full set of metric functions is derived
in explicit analytic form and the behavior of the solutions on the symmetry
axis is analyzed. It is shown in particular that two counter-rotating equal
Kerr-Newman-NUT objects will be in equilibrium when the condition
m^2+\nu^2=q^2+b^2 is verified, whereas two counter-rotating equal masses
endowed with arbitrary magnetic and electric dipole moments cannot reach
equilibrium under any choice of the parameters, so that a massless strut
between them will always be present.


title:
Classical Demons and Quantum Angels: On 't Hooft's deterministic Quantum
  Mechanics

abstract:
  It is argued that 't Hooft's deterministic program does not disenchant the
quantum world but rather inspires the incantation of the classical one.


title:
Neutron-capture elements in the very metal-poor star HD88609: another st
  ar with excesses of light neutron-capture elements

abstract:
  We obtained a high resolution, high signal-to-noise UV-blue spectrum of the
extremely metal-poor red giant HD88609 to determine the abundances of heavy
elements. Nineteen neutron-capture elements are detected in the spectrum. Our
analysis revealed that this object has large excesses of light neutron-capture
elements while heavy neutron-capture elements are deficient. The abundance
pattern shows a continuously decreasing trend, as a function of atomic number,
from Sr to Yb, which is quite different from those in stars with excesses of
r-process elements. Such an abundance pattern is very similar to that of
HD122563 that was studied by our previous work. The results indicate that the
abundance pattern found in the two stars could represent the pattern produced
by the nucleosynthesis process that provided light neutron-capture elements in
the very early Galaxy.


title:
Concept of a thermonuclear reactor based on gravity retention of
  high-temperature plasma

abstract:
  In the present paper the realization of the obtained results in relation to
the dense high- temperature plasma of multivalent ions including experimental
data interpretation is discussed.


title: New flaring of an ultraluminous X-ray source in NGC 1365

abstract:
  We have studied a highly variable ultraluminous X-ray source (ULX) in the
Fornax galaxy NGC 1365, with a series of 12 Chandra and XMM-Newton observations
between 2002 and 2006. In 2006 April, the source peaked at a luminosity ~ 3 x
10^{40} erg/s in the 0.3-10 keV band (similar to the maximum luminosity found
by ASCA in 1995), and declined on an e-folding timescale ~ 3 days. The X-ray
spectrum is always dominated by a broad power-law-like component. When the
source is seen at X-ray luminosities ~ 10^{40} erg/s, an additional soft
thermal component (which we interpret as emission from the accretion disk)
contributes ~ 1/4 of the X-ray flux; when the luminosity is higher, ~ 3 x
10^{40} erg/s, the thermal component is not detected and must contribute < 10%
of the flux. At the beginning of the decline, ionized absorption is detected
around 0.5-2 keV; it is a possible signature of a massive outflow. The
power-law is always hard, with a photon index Gamma ~ 1.7 (and even flatter at
times), as is generally the case with bright ULXs. We speculate that this
source and perhaps most other bright ULXs are in a high/hard state: as the
accretion rate increases well above the Eddington limit, more and more power is
extracted from the inner region of the inflow through non-radiative channels,
and is used to power a Comptonizing corona, jet or wind. The observed thermal
component comes from the standard outer disk; the transition radius between
outer standard disk and Comptonizing inner region moves further out and to
lower disk temperatures as the accretion rate increases. This produces the
observed appearance of a large, cool disk. Based on X-ray luminosity and
spectral arguments, we suggest that this accreting black hole has a likely mass
~ 50-150 Msun (even without accounting for possible beaming).


title: Mapping the geometry of the F4 group

abstract:
  In this paper we present a construction of the compact form of the
exceptional Lie group F4 by exponentiating the corresponding Lie algebra f4. We
realize F4 as the automorphisms group of the exceptional Jordan algebra, whose
elements are 3 x 3 hermitian matrices with octonionic entries. We use a
parametrization which generalizes the Euler angles for SU(2) and is based on
the fibration of F4 via a Spin(9) subgroup as a fiber. This technique allows us
to determine an explicit expression for the Haar invariant measure on the F4
group manifold. Apart from shedding light on the structure of F4 and its coset
manifold OP2=F4/Spin(9), the octonionic projective plane, these results are a
prerequisite for the study of E6, of which F4 is a (maximal) subgroup.


title:
Influence of pulsed magnetic field on single- and two-pulse nuclear spin
  echoes in multidomain magnets

abstract:
  By the method of additional pulsed magnetic field influence in different
magnetic materials (half metals, manganites, lithium ferrite, cobalt) it is
established the analogy of time diagrams of magnetic pulse influence on single-
and two pulse echoes in magnets when the distortion mechanism of single-pulse
echo formation is effective, and the absence of such analogy in the case of
lithium ferrite where the multipulse mechanism of single-pulse echo formation
is effective.
  It is shown also that the timing and frequency diagrams of magnetic pulse
influence on the two-pulse echo signals, corresponding to the symmetric and
asymmetric magnetic pulse applications in the studied magnets, are defined by
their domain walls parameters and could serve for their qualitative and
quantitative characterization.


title: Detection of Gravitational Lensing in the Cosmic Microwave Background

abstract:
  Gravitational lensing of the cosmic microwave background (CMB), a
long-standing prediction of the standard cosmolgical model, is ultimately
expected to be an important source of cosmological information, but first
detection has not been achieved to date. We report a 3.4 sigma detection, by
applying quadratic estimator techniques to all sky maps from the Wilkinson
Microwave Anisotropy Probe (WMAP) satellite, and correlating the result with
radio galaxy counts from the NRAO VLA Sky Survey (NVSS). We present our
methodology including a detailed discussion of potential contaminants. Our
error estimates include systematic uncertainties from density gradients in
NVSS, beam effects in WMAP, Galactic microwave foregrounds, resolved and
unresolved CMB point sources, and the thermal Sunyaev-Zeldovich effect.


title: A Gedanken Experiment For Gravitomagnetism

abstract:
  A gedanken experiment implies the existence of gravitomagnetism and raises a
question about what we know about the weak-field limit of the gravitomagnetic
field of General Relativity.


title: Physical Properties of the AXP 4U 0142+61 from X-ray Spectral Analysis

abstract:
  We analyze archival Chandra and XMM-Newton data of 4U 0142+61 within the
context of the Surface Thermal Emission and Magnetospheric Scattering model. We
show that 4U 0142+61 spectrum can be fit very well with this physical model
that contains only four parameters. The system parameters can be tightly
constrained from the fits, yielding a surface magnetic field strength of
B=(4.75 \pm 0.02)x 10^{14} G, a surface temperature of kT = 0.309 \pm 0.001$
keV and a scattering optical depth of a few in the magnetosphere. These values
do not vary between observations due to the stability of the source within the
window of the observations. The detailed fits yield $\chi^2$ values that are
statistically much better than the traditionally employed blackbody+power-law
and two blackbody fits. The spectroscopically measured surface magnetic field
strength is higher than, but within, the theoretical uncertainties of the value
inferred from the dipole spindown formula.


title:
The influence of horizontal gene transfer on the mean fitness of
  unicellular populations in static environments

abstract:
  This paper develops a mathematical model describing the influence that
conjugation-mediated Horizontal Gene Transfer (HGT) has on the
mutation-selection balance in an asexually reproducing population of
unicellular, prokaryotic organisms. It is assumed that mutation-selection
balance is reached in the presence of a fixed background concentration of
antibiotic, to which the population must become resistant in order to survive.
We analyze the behavior of the model in the limit of low and high
antibiotic-induced first-order death rate constants, and find that the highest
mean fitness is obtained at low rates of bacterial conjugation. As the rate of
conjugation crosses a threshold, the mean fitness decreases to a minimum, and
then rises asymptotically to a limiting value as the rate of conjugation
becomes infinitely large. However, this limiting value is smaller than the mean
fitness obtained in the limit of low conjugation rate. This dependence of the
mean fitness on the conjugation rate is fairly small for the parameter ranges
we have considered, and disappears as the first-order death rate constant due
to the presence of antibiotic approaches zero. For large values of the
antibiotic death rate constant, we have obtained an analytical solution for the
behavior of the mean fitness that agrees well with the results of simulations.
The results of this paper suggest that conjugation-mediated HGT has a slightly
deleterious effect on the mean fitness of a population at mutation-selection
balance. Therefore, we argue that HGT confers a selective advantage by allowing
for faster adaptation to a new or changing environment. The results of this
paper are consistent with the observation that HGT can be promoted by
environmental stresses on a population.


title:
Comparing Star Formation on Large Scales in the c2d Legacy Clouds:
  Bolocam 1.1 mm Dust Continuum Surveys of Serpens, Perseus, and Ophiuchus

abstract:
  We have undertaken an unprecedentedly large 1.1 millimeter continuum survey
of three nearby star forming clouds using Bolocam at the Caltech Submillimeter
Observatory. We mapped the largest areas in each cloud at millimeter or
submillimeter wavelengths to date: 7.5 sq. deg in Perseus (Paper I), 10.8 sq.
deg in Ophiuchus (Paper II), and 1.5 sq. deg in Serpens with a resolution of
31", detecting 122, 44, and 35 cores, respectively. Here we report on results
of the Serpens survey and compare the three clouds. Average measured angular
core sizes and their dependence on resolution suggest that many of the observed
sources are consistent with power-law density profiles. Tests of the effects of
cloud distance reveal that linear resolution strongly affects measured source
sizes and densities, but not the shape of the mass distribution. Core mass
distribution slopes in Perseus and Ophiuchus (alpha=2.1+/-0.1 and
alpha=2.1+/-0.3) are consistent with recent measurements of the stellar IMF,
whereas the Serpens distribution is flatter (alpha=1.6+/-0.2). We also compare
the relative mass distribution shapes to predictions from turbulent
fragmentation simulations. Dense cores constitute less than 10% of the total
cloud mass in all three clouds, consistent with other measurements of low
star-formation efficiencies. Furthermore, most cores are found at high column
densities; more than 75% of 1.1 mm cores are associated with Av>8 mag in
Perseus, 15 mag in Serpens, and 20-23 mag in Ophiuchus.


title: Static Holes in the Geometrically Frustrated Bow Tie Ladder

abstract:
  We investigate the doping of a geometrically frustrated spin ladder with
static holes by a complementary approach using exact diagonalization and
quantum dimers. Results for thermodynamic properties, the singlet density of
states, the hole-binding energy and the spin correlations will be presented.
For the undoped systems the ground state is non-degenerate, with
translationally invariant nearest-neighbor spin correlations. In the doped
case, we find that static holes polarize their vicinity by a localization of
singlets in order to reduce the frustration. This polarization induces short
range repulsive forces between two holes and an oscillatory behavior of the
long range two-hole energy. For most quantities investigated, we find very good
agreement between the quantum dimer approach and the results from exact
diagonalization.


title:
Variable Electron-Phonon Coupling in Isolated Metallic Carbon Nanotubes
  Observed by Raman Scattering

abstract:
  We report the existence of broad and weakly asymmetric features in the
high-energy (G) Raman modes of freely suspended metallic carbon nanotubes of
defined chiral index. A significant variation in peak width (from 12 cm-1 to
110 cm-1) is observed as a function of the nanotube's chiral structure. When
the nanotubes are electrostatically gated, the peak widths decrease. The
broadness of the Raman features is understood as the consequence of coupling of
the phonon to electron-hole pairs, the strength of which varies with the
nanotube chiral index and the position of the Fermi energy.


title: Knot concordance and Blanchfield duality

abstract:
  We introduce a new technique for showing classical knots and links are not
slice. As one application we resolve a long-standing question as to whether
certain natural families of knots contain topologically slice knots. We also
present a simpler proof of the result of Cochran-Teichner that the successive
quotients of the integral terms of the Cochran-Orr-Teichner filtration of the
knot concordance group have rank 1. For links we have similar results. We show
that the iterated Bing doubles of many algebraically slice knots are not
topologically slice. Some of the proofs do not use the existence of the
Cheeger-Gromov bound, a deep analytical tool used by Cochran-Teichner. Our main
examples are actually boundary links but cannot be detected in the algebraic
boundary link concordance group, nor by any $\rho$ invariants associated to
solvable representations into finite unitary groups.


title:
Theory of Thermal Conductivity in High-Tc Superconductors below Tc:
  Comparison between Hole-Doped and Electron-Doped Systems

abstract:
  In hole-doped high-Tc superconductors, thermal conductivity increases
drastically just below Tc, which has been considered as a hallmark of a nodal
gap. In contrast, such a coherence peak in thermal conductivity is not visible
in electron-doped compounds, which may indicate a full-gap state such as a
(d+is)-wave state. To settle this problem, we study the thermal conductivity in
the Hubbard model using the fluctuation-exchange (FLEX) approximation, which
predicts that the nodal d-wave state is realized in both hole-doped and
electron-doped compounds. The contrasting behavior of thermal conductivity in
both compounds originates from the differences in the hot/cold spot structure.
In general, a prominent coherence peak in thermal conductivity appears in
line-node superconductors only when the cold spot exists on the nodal line.


title: Augmented Sparse Reconstruction of Protein Signaling Networks

abstract:
  The problem of reconstructing and identifying intracellular protein signaling
and biochemical networks is of critical importance in biology today. We sought
to develop a mathematical approach to this problem using, as a test case, one
of the most well-studied and clinically important signaling networks in biology
today, the epidermal growth factor receptor (EGFR) driven signaling cascade.
More specifically, we suggest a method, augmented sparse reconstruction, for
the identification of links among nodes of ordinary differential equation (ODE)
networks from a small set of trajectories with different initial conditions.
Our method builds a system of representation by using a collection of integrals
of all given trajectories and by attenuating block of terms in the
representation itself. The system of representation is then augmented with
random vectors, and minimization of the 1-norm is used to find sparse
representations for the dynamical interactions of each node. Augmentation by
random vectors is crucial, since sparsity alone is not able to handle the large
error-in-variables in the representation. Augmented sparse reconstruction
allows to consider potentially very large spaces of models and it is able to
detect with high accuracy the few relevant links among nodes, even when
moderate noise is added to the measured trajectories. After showing the
performance of our method on a model of the EGFR protein network, we sketch
briefly the potential future therapeutic applications of this approach.


title: Interior Point Decoding for Linear Vector Channels

abstract:
  In this paper, a novel decoding algorithm for low-density parity-check (LDPC)
codes based on convex optimization is presented. The decoding algorithm, called
interior point decoding, is designed for linear vector channels. The linear
vector channels include many practically important channels such as inter
symbol interference channels and partial response channels. It is shown that
the maximum likelihood decoding (MLD) rule for a linear vector channel can be
relaxed to a convex optimization problem, which is called a relaxed MLD
problem. The proposed decoding algorithm is based on a numerical optimization
technique so called interior point method with barrier function. Approximate
variations of the gradient descent and the Newton methods are used to solve the
convex optimization problem. In a decoding process of the proposed algorithm, a
search point always lies in the fundamental polytope defined based on a
low-density parity-check matrix. Compared with a convectional joint message
passing decoder, the proposed decoding algorithm achieves better BER
performance with less complexity in the case of partial response channels in
many cases.


title: Macroscopic Greenberger-Horne-Zeilinger and W States in Flux Qubits

abstract:
  We investigate two types of genuine three-qubit entanglement, known as the
Greenberger-Horne-Zeilinger(GHZ) and W states, in a macroscopic quantum system.
Superconducting flux qubits are considered theoretically in order to generate
such states. A phase coupling is proposed to offer enough strength of
interactions between qubits. While an excited state can be the W state, the GHZ
state is formed at the ground state of the three flux qubits. The GHZ and W
states are shown to be robust against external flux fluctuations for feasible
experimental realizations.


title:
Average Stopping Set Weight Distribution of Redundant Random Matrix
  Ensembles

abstract:
  In this paper, redundant random matrix ensembles (abbreviated as redundant
random ensembles) are defined and their stopping set (SS) weight distributions
are analyzed. A redundant random ensemble consists of a set of binary matrices
with linearly dependent rows. These linearly dependent rows (redundant rows)
significantly reduce the number of stopping sets of small size. An upper and
lower bound on the average SS weight distribution of the redundant random
ensembles are shown. From these bounds, the trade-off between the number of
redundant rows (corresponding to decoding complexity of BP on BEC) and the
critical exponent of the asymptotic growth rate of SS weight distribution
(corresponding to decoding performance) can be derived. It is shown that, in
some cases, a dense matrix with linearly dependent rows yields asymptotically
(i.e., in the regime of small erasure probability) better performance than
regular LDPC matrices with comparable parameters.


title: Vector chiral states in low-dimensional quantum spin systems

abstract:
  A class of exact spin ground states with nonzero averages of vector spin
chirality, $<\v{S}_i \times \v{S}_j \cdot \hat{z}>$, is presented. It is
obtained by applying non-uniform O(2) rotations of spin operators in the XY
plane on the SU(2)-invariant Affleck-Kennedy-Lieb-Tasaki (AKLT) states and
their parent Hamiltonians. Excitation energies of the new ground states are
studied with the use of single-mode approximation in one dimension for S=1. The
excitation gap remains robust. Construction of chiral AKLT states is shown to
be possible in higher dimensions. We also present a general idea to produce
vector chirality-condensed ground states as non-uniform O(2) rotations of the
non-chiral parent states. Dzyaloshinskii-Moriya interaction is shown to imply
non-zero spin chirality.


title:
Resonance in an open quantum dot system with a Coulomb interaction: a
  Bethe-ansatz approach

abstract:
  An open quantum system consisting of a quantum dot with a Coulomb interaction
and two leads without interactions is studied. The many-body scattering states
are constructed with the Bethe-ansatz approach. The expectation value of the
electric current is exactly calculated for the scattering states to observe
resonance peaks due to many-body scattering.


title: On Undetected Error Probability of Binary Matrix Ensembles

abstract:
  In this paper, an analysis of the undetected error probability of ensembles
of binary matrices is presented. The ensemble called the Bernoulli ensemble
whose members are considered as matrices generated from i.i.d. Bernoulli source
is mainly considered here. The main contributions of this work are (i)
derivation of the error exponent of the average undetected error probability
and (ii) closed form expressions for the variance of the undetected error
probability. It is shown that the behavior of the exponent for a sparse
ensemble is somewhat different from that for a dense ensemble. Furthermore, as
a byproduct of the proof of the variance formula, simple covariance formula of
the weight distribution is derived.


abstract:
  A small tabletop experiment for a direct measurement of the speed of light to
an accuracy of few percent is described. The experiment is accessible to a wide
spectrum of undergraduate students, in particular to students not majoring in
science or engineering. The experiment may further include a measurement of the
index of refraction of a sample. Details of the setup and equipment are given.
Results and limitations of the experiment are analyzed, partly based on our
experience in employing the experiment in our student laboratories. Safety
considerations are also discussed.


title: The International Linear Collider

abstract:
  The International Linear Collider (ILC) is the next large scale project in
accelerator particle physics. Colliding electrons with positrons at energies
from 0.3 TeV up to about 1 TeV, the ILC is expected to provide the accuracy
needed to complement the LHC data and extend the sensitivity to new phenomena
at the high energy frontier and answer some of the fundamental questions in
particle physics and in its relation to Cosmology. This paper reviews some
highlights of the ILC physics program and some of the major challenges for the
accelerator and detector design.


title: Geometry of Borromean Halo Nuclei

abstract:
  We discuss the geometry of the highly quantal nuclear three-body systems
composed of a core plus two loosely bound particles. These Borromean nuclei
have no single bound two-body subsystem. Correlation plays a prominent role.
  From consideration of the $B(E1)$ value extracted from electromagnetic
dissociation, in conjunction with HBT-type analysis of the two valence-halo
particles correlation, we show that an estimate of the over-all geometry can be
deduced. In particular we find that the opening angle between the two neutrons
in $^{6}$He and $^{11}$Li are, respectively, $\theta_{nn} =
{83^{\circ}}^{+20}_{-10}$ and ${66^{\circ}}^{+22}_{-18}$. These angles are
reduced by about 12% to $\theta_{nn} = {78^{\circ}}^{+13}_{-18}$ and
${58^{\circ}}^{+10}_{-14}$ if the laser spectroscopy values of the rms charge
radii are used to obtain the rms distance between the cores and the center of
mass of the two neutrons. The opening angle in the case of $^{11}$Li is more
than 20% larger than recently reported by Nakamura \cite{Nak06}. The analysis
is extended to $^{14}$Be and the two-proton Borromean nucleus $^{17}% $Ne where
complete data is still not available. Using available experimental data and
recent theoretical calculations we find, $\theta_{nn} = {64^{0}}^{+9}_{-10}$
and $\theta_{pp} = 110^{0}$, respectively.


title:
Left-Right Symmetry Model with Two Bidoublets and One Doublet Higgs
  Field for Electroweak Interaction

abstract:
  We use the left-right symmetry model based on SU(2)_{L}xSU(2)_{R}xU(1)_{B-L}
gauge group with two bidoublets and one doublet Higgs field for electroweak
interaction. The lepton fields are represented as a doublet of SU(2)for both
left and right fields. By using the pattern of symmetry breaking emerges as the
minimum of the Higgs potential for a range of parameters, we show that the
domination of the V-A over V+A interactions is natural at low energy. The
symmetry breaking is the responsible mechanism for the up-down lepton doublet
mass difference


title: Identities by Generalized $L-$Summing Method

abstract:
  In this paper, we introduce 3-dimensional $L-$summing method, which is a
rearrangement of the summation $\sum A_{abc}$ with $1\leq a,b,c\leq n$.
Applying this method on some special arrays, we obtain some identities on the
Riemann zeta function and digamma function. Also, we give a Maple program for
this method to obtain identities with input various arrays and out put
identities concerning some elementary functions and hypergeometric functions.
Finally, we introduce a further generalization of $L-$summing method in higher
dimension spaces.


title:
Atomic electric dipole moments of He and Yb induced by nuclear Schiff
  moments

abstract:
  We have calculated the atomic electric dipole moments (EDMs) d of ^3He and
^{171}Yb induced by their respective nuclear Schiff moments S. Our results are
d(He)= 8.3x10^{-5} and d(Yb)= -1.9 in units 10^{-17}S/(e{fm}^3)e cm. By
considering the nuclear Schiff moments induced by the parity and time-reversal
violating nucleon-nucleon interaction we find d(^{171}Yb)~0.6d(^{199}Hg). For
^3He the nuclear EDM coupled with the hyperfine interaction gives a larger
atomic EDM than the Schiff moment. The result for ^3He is required for a
neutron EDM experiment that is under development, where ^3He is used as a
comagnetometer. We find that the EDM for He is orders of magnitude smaller than
the neutron EDM. The result for Yb is needed for the planning and
interpretation of experiments that have been proposed to measure the EDM of
this atom.


title: Dynamics of Quintom and Hessence Energies in Loop Quantum Cosmology

abstract:
  In the present work, we investigate the universe dominated by quintom or
hessence energies in Loop Quantum Cosmology (LQC). Interestingly enough, we
find that there are some stable attractors in these two cases. In the case of
quintom, all stable attractors have the feature of decelerated expansion. In
the case of hessence, most of stable attractors have the feature of decelerated
expansion while one stable attractor can have decelerated or accelerated
expansion depend on the model parameter. In all cases, the equation-of-state
parameter (EoS) of all stable attractors are larger than -1 and there is no
singularity in the finite future. These results are different from the dynamics
of phantom in LQC, or the ones of phantom, quintom and hessence in classical
Einstein gravity.


title:
Comparison of architectures for approximating number-resolving
  photo-detection using non-number-resolving detectors

abstract:
  Number-resolving photo-detection is necessary for many quantum optics
experiments, especially in the application of entangled state preparation.
Several schemes have been proposed for approximating number-resolving
photo-detection using non-number-resolving detectors. Such techniques include
multi-port detection and time-division multiplexing. We provide a detailed
analysis and comparison of different number-resolving detection schemes, with a
view to creating a useful reference for experimentalists. We show that the
ideal architecture for projective measurements is a function of the detector's
dark count and efficiency parameters. We also describe a process for selecting
an appropriate topology given actual experimental component parameters.


title: About Brezis-Merle Problem with Lipschitz condition

abstract:
  We give blow-up analysis for a Brezis-Merle's problem on the boundary. Also
we give a proof of a compactness result with Lipschitz condition and weaker
assumption on the regularity of the domain (smooth domain or $ C^{2,\alpha} $
domain).


title:
Mathematical Model for the Evaporation of a Liquid Fuel Droplet, Subject
  to Nonlinear Constraints

abstract:
  We study the mathematical evolution of a liquid fuel droplet inside a vessel.
In particular, we analyze the evolution of the droplet radius on a finite time
interval. The model problem involves an hyperbolic system coupled with the
pressure and velocity of the surrounding gas. Existence of bounded solutions
for the mass fraction of the liquid, submitted to nonlinear constraints, is
shown. Numerical simulations are given, in agreement with known physical
experiments.


title:
Backlund transformations for difference Hirota equation and
  supersymmetric Bethe ansatz

abstract:
  We consider GL(K|M)-invariant integrable supersymmetric spin chains with
twisted boundary conditions and elucidate the role of Backlund transformations
in solving the difference Hirota equation for eigenvalues of their transfer
matrices. The nested Bethe ansatz technique is shown to be equivalent to a
chain of successive Backlund transformations "undressing" the original problem
to a trivial one.


title:
On Supergroups with Odd Clifford Parameters and Supersymmetry with
  Modified Leibniz Rule

abstract:
  We investigate supergroups with Grassmann parameters replaced by odd Clifford
parameters. The connection with non-anticommutative supersymmetry is discussed.
A Berezin-like calculus for odd Clifford variables is introduced. Fermionic
covariant derivatives for supergroups with odd Clifford variables are derived.
Applications to supersymmetric quantum mechanics are made. Deformations of the
original supersymmetric theories are encountered when the fermionic covariant
derivatives do not obey the graded Leibniz property. The simplest non-trivial
example is given by the N=2 SQM with a real $(1,2,1)$ multiplet and a cubic
potential. The action is real. Depending on the overall sign ("Euclidean" or
"Lorentzian") of the deformation, a Bender-Boettcher pseudo-hermitian
hamiltonian is encountered when solving the equation of motion of the auxiliary
field. A possible connection of our framework with the Drinfeld twist
deformation of supersymmetry is pointed out.


title:
Determination of the Form Factors for the Decay B0 -> D*- l+ nu_l and of
  the CKM Matrix Element |V_cb|

abstract:
  We present a combined measurement of the Cabibbo-Kobayashi-Maskawa matrix
element |V_{cb}| and of the parameters rho^2, R_1(1), and R_2(1), which fully
characterize the form factors for the B0 -> D*- l+ nu_l decay in the framework
of heavy-quark effective theory. The results, based on a selected sample of
about 52,800 B0 -> D*- l+ nu_l decays, recorded by the BaBar detector, are
rho2=1.157+-0.094+-0.027, R_1(1)=1.327+-0.131+-0.043,
R_2(1)=0.859+-0.077+-0.021, and F(1)|V_cb|=(34.7+-0.4+-1.0)x10^-3. The first
error is the statistical and the second is the systematic uncertainty.
Combining these measurements with the previous BaBar measurement of the form
factors, which employs a different fit technique on a partial sample of the
data, we improve the statistical precision of the result,
rho2=1.191+-0.048+-0.028, R_1(1)=1.429+-0.061+-0.044,
R_2(1)=0.827+-0.038+-0.022, and F(1)|V_cb| = (34.4+-0.3+-1.1)x10^-3. Using
lattice calculations for the axial form factor $\mathcal{F}(1)$, we extract
|V_cb| =(37.4+-0.3+-1.2+1.2-1.4)x10^-3, where the third error is due to the
uncertainty in F(1). We also present a measurement of the exclusive branching
fraction, B = (4.69+-0.04+-0.34)%.


title: Linear dilatation structures and inverse semigroups

abstract:
  Here we prove that for dilatation structures linearity (see
arXiv:0705.1440v1) is equivalent to a statement about the inverse semigroup
generated by the family of dilatations of the space.
  The result is new for Carnot groups and the proof seems to be new even for
vector spaces.


title: Spectral study on the dips of Cir X-1

abstract:
  We present X-ray spectral analyses of low mass X-ray binary Cir X-1 during
X-ray dips, using the Rossi X-ray Timing Explorer (RXTE) data. Each dip was
divided into several segments, and the spectrum of each segment was fitted with
a three-component blackbody model, in which two components are affected by
partial covering and the third one is unaffected. A Gaussian emission line is
also included in the spectral model to represent the Fe Ka line at ~ 6.4 keV.
The fitted temperatures of the two partially covered components are about 2 keV
and 1 keV, while the uncovered component has a temperature of ~ 0.5-0.6 keV.
The equivalent blackbody emission radius of the hottest component is the
smallest and that of the coolest component is the biggest. During dips, the
fluxes of the two hot components are linearly correlated, while that of the
third component doesn't show any significant variation. The Fe line flux
remains constant within errors during the short dips. However, during the long
dips the line flux changes significantly and is positively correlated with the
fluxes of the two hot components. These results suggest: (1) the temperature of
the X-ray emitting region decreases with radius, (2) the Fe Ka line emitting
region is close to the hot continuum emitting region, and (3) the size of the
Fe line emitting region is bigger than the size of the obscuring matters
causing short dips but smaller than the sizes of those causing long dips.


title: The Dynamical Mechanism of the Aharonov-Bohm Effect

abstract:
  In this paper, it is emphasized that the dynamical cause for the A-B effect
is the superimposed energy between the magnetic field produced by the moving
charges and that in the solenoid, instead of the existence of the vector
potential. If such a superposition between the magnetic fields can be
eliminated, the A-B effect should not be observed any more. To verify this
viewpoint, a new experimental method using a SQUID is suggested in this paper.


title: Black Hole Evaporation in an Expanding Universe

abstract:
  We calculate the quantum radiation power of black holes which are asymptotic
to the Einstein-de Sitter universe at spatial and null infinities. We consider
two limiting mass accretion scenarios, no accretion and significant accretion.
We find that the radiation power strongly depends on not only the asymptotic
condition but also the mass accretion scenario. For the no accretion case, we
consider the Einstein-Straus solution, where a black hole of constant mass
resides in the dust Friedmann universe. We find negative cosmological
correction besides the expected redshift factor. This is given in terms of the
cubic root of ratio in size of the black hole to the cosmological horizon, so
that it is currently of order $10^{-5} (M/10^{6}M_{\odot})^{1/3} (t/14
{Gyr})^{-1/3}$ but could have been significant at the formation epoch of
primordial black holes. Due to the cosmological effects, this black hole has
not settled down to an equilibrium state. This cosmological correction may be
interpreted in an analogy with the radiation from a moving mirror in a flat
spacetime. For the significant accretion case, we consider the Sultana-Dyer
solution, where a black hole tends to increase its mass in proportion to the
cosmological scale factor. In this model, we find that the radiation power is
apparently the same as the Hawking radiation from the Schwarzschild black hole
of which mass is that of the growing mass at each moment. Hence, the energy
loss rate decreases and tends to vanish as time proceeds. Consequently, the
energy loss due to evaporation is insignificant compared to huge mass accretion
onto the black hole. Based on this model, we propose a definition of
quasi-equilibrium temperature for general conformal stationary black holes.


title: Ultradiscretization of the solution of periodic Toda equation

abstract:
  A periodic box-ball system (pBBS) is obtained by ultradiscretizing the
periodic discrete Toda equation (pd Toda eq.). We show the relation between a
Young diagram of the pBBS and a spectral curve of the pd Toda eq.. The formula
for the fundamental cycle of the pBBS is obtained as a colloraly.


title: Thick brane in 7D and 8D spacetimes

abstract:
  We consider a thick brane model supported by two interacting scalar fields in
7D and 8D general relativity. Using the special type of a potential energy, we
obtain numerically the regular asymptotically flat vacuum solutions. A
possibility of obtaining the similar solutions for an arbitrary number of the
extra spatial dimensions is estimated.


title: Strict Partitions of Maximal Projective Degree

abstract:
  The projective degrees of strict partitions of n were computed for all n <
101 and the partitions with maximal projective degree were found for each n. It
was observed that maximizing partitions for successive values of n "lie close
to each other" in a certain sense. Conjecturing that this holds for larger
values of n, the partitions of maximal degree were computed for all n < 221.
The results are consistent with a recent conjecture on the limiting shape of
the strict partition of maximal projective degree.


title: Search For Squarks And Gluinos At DO

abstract:
  A search for scalar quarks and gluinos is performed with 0.96 fb^{-1} of data
collected by the DO experiment in p\bar{p} collisions at \sqrt{s}=1.96 TeV at
the Fermilab Tevatron Collider. The topologies analyzed consist of acoplanar
jets and multijet events with missing transverse energy. We find the data to be
consistent with Standard Model expectations, and set 95% C.L. exclusion domains
in the squark and gluino mass plane and in the (m_0, m_{1/2}) plane, within the
framework of minimal supergravity with tan\beta=3, A_0=0 and \mu<0.