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383

Oct 12, 2017
10/17

by
Directorate of Printing, Government of India

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The Gazette of India Extraordinary Gazette Published by the Directorate of Printing, Department of Publication, Ministry of Housing and Urban Affairs, Government of India Published in 2009, Issue Number 3503 Ministry: Election Commission of India Subject: Specifying the names of recognised National and State Parties, registered-unrecognised parties and the list of free symbols.

Topic: Extraordinary Gazette of India

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131

Sep 23, 2013
09/13

by
A. Iucci; M. A. Cazalilla

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The dynamics of the Luttinger model and the sine-Gordon model (at the Luther-Emery point and in the semiclassical approximation) after a quantum quench is studied. We compute in detail one and two-point correlation functions for different types of quenches: from a non-interacting to an interacting Luttinger model and vice-versa, and from the gapped to the gapless phase of the sine-Gordon model and vice-versa. A progressive destruction of the Fermi gas features in the momentum distribution is...

Source: http://arxiv.org/abs/0903.1205v2

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108

Sep 23, 2013
09/13

by
Xavier Caicedo; Ricardo Oscar Rodriguez

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In this paper we consider an approach where both propositions and the accessibility relation are infinitely many-valued over G\"{o}del algebras. In particular, we consider separately the $\Box $-fragment and the $\Diamond $-fragment of our G\"{o}del modal logic and prove that both logics are complete with respect to the class of models with values in the linear Hetying algebra [0,1]. In addition, we show that the first fragment is uniquely determined by the class of models having...

Source: http://arxiv.org/abs/0903.2767v1

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100

Sep 23, 2013
09/13

by
Cosmo Lupo; Vittorio Giovannetti; Stefano Mancini

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We introduce a general model for a lossy bosonic memory channel and calculate the classical and the quantum capacity, proving that coherent state encoding is optimal. The use of a proper set of collective field variables allows to unravel the memory, showing that the n-fold concatenation of the memory channel is unitarily equivalent to the direct product of n single-mode lossy bosonic channels.

Source: http://arxiv.org/abs/0903.2764v1

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100

Sep 23, 2013
09/13

by
S. Regnier

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The origin and evolution of the magnetic helicity in the solar corona are not well understood. For instance, the magnetic helicity of an active region is often about $10^{42}$ Mx$^2$ ($10^{26}$ Wb$^{2}$), but the observed processes whereby it is thought to be injected into the corona do not yet provide an accurate estimate of the resulting magnetic helicity budget or time evolution. The variation in magnetic helicity is important for understanding the physics of flares, coronal mass ejections,...

Source: http://arxiv.org/abs/0903.2697v1

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99

Sep 23, 2013
09/13

by
Enrique Munoz; Jeong-Man Park; Michael W. Deem

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To represent the evolution of nucleic acid and protein sequence, we express the parallel and Eigen models for molecular evolution in terms of a functional integral representation with an $h$-letter alphabet, lifting the two-state, purine/pyrimidine assumption often made in quasi-species theory. For arbitrary $h$ and a general mutation scheme, we obtain the solution of this model in terms of a maximum principle. Euler's theorem for homogeneous functions is used to derive this `thermodynamic'...

Source: http://arxiv.org/abs/0903.2004v2

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92

Sep 23, 2013
09/13

by
V. F. Krotov

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Here the probability density of relativistic particles coordinates, satisfying the formal conditions of the quantum mechanics and the special relativity, is determined (under textbooks view, such density does not exist). It is specified for the boson, neutral and charged, scalar and vector, including the photon, the electron. Uniqueness of this design has been proved. This is a relativistic invariant, describing the probability of the particle observation in points of space-time. The time is...

Source: http://arxiv.org/abs/0903.2725v1

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89

Sep 23, 2013
09/13

by
Kang Ning

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The DNA cryptography is a new and very promising direction in cryptography research. DNA can be used in cryptography for storing and transmitting the information, as well as for computation. Although in its primitive stage, DNA cryptography is shown to be very effective. Currently, several DNA computing algorithms are proposed for quite some cryptography, cryptanalysis and steganography problems, and they are very powerful in these areas. However, the use of the DNA as a means of cryptography...

Source: http://arxiv.org/abs/0903.2693v1

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88

Sep 23, 2013
09/13

by
Dennis E. White

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Let $\{h_1,h_2,...\}$ be a set of algebraically independent variables. We ask which vectors are extreme in the cone generated by $h_ih_j-h_{i+1}h_{j-1}$ ($i\geq j>0$) and $h_i$ ($i>0$). We call this cone the cone of log concavity. More generally, we ask which vectors are extreme in the cone generated by Schur functions of partitions with $k$ or fewer parts. We give a conjecture for which vectors are extreme in the cone of log concavity. We prove the characterization in one direction and...

Source: http://arxiv.org/abs/0903.2831v1

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88

Jul 22, 2013
07/13

by
James S. Bolton; S. Peng Oh; Steven R. Furlanetto

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We use a combination of analytic and numerical arguments to consider the impact of quasar photo-heating during HeII reionisation on the thermal evolution of the intergalactic medium (IGM). We demonstrate that rapid (\Delta z < 0.1-0.2), strong (\Delta T > 10^4 K) photo-heating is difficult to achieve across the entire IGM unless quasar spectra are significantly harder than implied by current observational constraints. Although filtering of intrinsic quasar radiation through dense regions...

Source: http://arxiv.org/abs/0807.2447v3

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84

Sep 17, 2013
09/13

by
Tobias Salger; Gunnar Ritt; Carsten Geckeler; Sebastian Kling; Martin Weitz

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We report on experiments studying transport properties of an atomic Bose-Einstein condensate in an optical lattice of spatial period $\lambda/2n$, where $n$ is an integer, realized with the dispersion of multiphoton Raman transitions. We observe Bloch oscillations, as a clear effect of quantum transport, in the sub-wavelength scale periodicity lattice. The unusually strong localisation of atoms is evident from the measured effective mass. Future prospects of the novel lattice structures are...

Source: http://arxiv.org/abs/0711.1772v3

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83

Sep 23, 2013
09/13

by
Frédéric Klopp; Shu Nakamura

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We study Lifshitz tails for random Schr\"odinger operators where the random potential is alloy type in the sense that the single site potentials are independent, identically distributed, but they may have various function forms. We suppose the single site potentials are distributed in a finite set of functions, and we show that under suitable symmetry conditions, they have Lifshitz tail at the bottom of the spectrum except for special cases. When the single site potential is symmetric with...

Source: http://arxiv.org/abs/0903.2105v2

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74

Sep 23, 2013
09/13

by
O Foda; M Wheeler; M Zuparic

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Using a Jacobi-Trudi-type identity, we show that the scalar product of a general state and a Bethe eigenstate in a finite-length XXZ spin-1/2 chain is (a restriction of) a KP tau function. This leads to a correspondence between the eigenstates and points on Sato's Grassmannian. Each of these points is a function of the rapidities of the corresponding eigenstate, the inhomogeneity variables of the spin chain and the crossing parameter.

Source: http://arxiv.org/abs/0903.2611v1

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Sep 23, 2013
09/13

by
Jose M. Fernandez; Matthew J. Holman; Joshua N. Winn; Guillermo Torres; Avi Shporer; Tsevi Mazeh; Gilbert A. Esquerdo; Mark E. Everett

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We present photometry of six transits of the exoplanet XO-2b. By combining the light-curve analysis with theoretical isochrones to determine the stellar properties, we find the planetary radius to be 0.996 +0.031/-0.018 rjup and the planetary mass to be 0.565 +/- 0.054 mjup. These results are consistent with those reported previously, and are also consistent with theoretical models for gas giant planets. The mid-transit times are accurate to within 1 min and are consistent with a constant...

Source: http://arxiv.org/abs/0903.2687v1

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71

Sep 22, 2013
09/13

by
Sreekumar T. Balan; Ofer Lahav

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Retrieval of orbital parameters of extrasolar planets poses considerable statistical challenges.Due to sparse sampling, measurement errors, parameters degeneracy and modelling limitations, there are no unique values of basic parameters, such as period and eccentricity. Here, we estimate the orbital parameters from radial velocity data in a Bayesian framework by utilizing Markov Chain Monte Carlo (MCMC) simulations with the Metropolis-Hastings algorithm. We follow a methodology recently proposed...

Source: http://arxiv.org/abs/0805.3532v3

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71

Jul 20, 2013
07/13

by
Adam Sierakowski

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Let (A,G) be a C*-dynamical system with G discrete. In this paper we investigate the ideal structure of the reduced crossed product C*-algebra and in particular we determine sufficient - and in some cases also necessary - conditions for A to separate the ideals in Ax_rG. When A separates the ideals in Ax_rG, then there is a one-to-one correspondence between the ideals in Ax_rG and the invariant ideals in A. We extend the concept of topological freeness and present a generalization of the...

Source: http://arxiv.org/abs/0804.3772v2

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70

Sep 23, 2013
09/13

by
Alexander Makin

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We consider the spectral problem generated by the Sturm-Liouville equation with an arbitrary complex-valued potential q(x) and irregular boundary conditions. We establish necessary and sufficient conditions for a set of complex numbers to be the spectrum of such an operator.

Source: http://arxiv.org/abs/0903.2699v1

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Sep 23, 2013
09/13

by
Koichiro Sadakane; Akira Onuki; Koji Nishida; Satoshi Koizumi; Hideki Seto

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Phase transition is observed between one-phase disordered phase and an ordered phase with multi-lamellar (onion) structures in an off-critical mixture of D$_2$O and 3-methylpyridine (3MP) containing a salt at 85mM. The salt consists of hydrophilic cations and hydrophobic anions, which interact asymmetrically with the solvent composition fluctuations inducing mesophases. The structure factor of the composition distribution obtained from small-angle neutron scattering has a peak at an...

Source: http://arxiv.org/abs/0903.2303v2

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69

Sep 23, 2013
09/13

by
Martin Lorenz

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We develop the theory of rational ideals for arbitrary associative algebras R without assuming the standard finiteness conditions, noetherianness or the Goldie property. The Amitsur-Martindale ring of quotients replaces the classical ring of quotients which underlies the previous definition of rational ideals but is not available in a general setting. Our main result concerns rational actions of an affine algebraic group G on R. Working over an algebraically closed base field, we prove an...

Source: http://arxiv.org/abs/0801.3472v3

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69

Sep 23, 2013
09/13

by
Dragomir Z. Djokovic; Simone Severini; Ferenc Szollosi

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The main question we raise here is the following one: given a real orthogonal n by n matrix X, is it true that there exists a rational orthogonal matrix Y having the same zero-pattern? We conjecture that this is the case and prove it for n

Source: http://arxiv.org/abs/0903.2853v1

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69

Sep 21, 2013
09/13

by
Nikolay Gromov; Vladimir Kazakov; Pedro Vieira

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We present a set of functional equations defining the anomalous dimensions of arbitrary local single trace operators in planar N=4 SYM theory. It takes the form of a Y-system based on the integrability of the dual superstring sigma-model on the AdS_5xS^5 background. This Y-system passes some very important tests: it incorporates the full asymptotic Bethe ansatz at large length of operator L, including the dressing factor, and it confirms all recently found wrapping corrections. The recently...

Source: http://arxiv.org/abs/0901.3753v3

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66

Sep 23, 2013
09/13

by
W. Münzer; A. Neubauer; S. Mühlbauer; C. Franz; T. Adams; F. Jonietz; R. Georgii; P. Böni; B. Pedersen; M. Schmidt; A. Rosch; C. Pfleiderer

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We report a comprehensive small angle neutron scattering study (SANS) of the magnetic phase diagram of the doped semiconductor Fe_{1-x}Co_{x}Si for x=0.2 and 0.25. For magnetic field parallel to the neutron beam we observe a six-fold intensity pattern under field-cooling, which identifies the A-phase of Fe_{1-x}Co_{x}Si as a skyrmion lattice. The regime of the skyrmion lattice is highly hysteretic and extents over a wide temperature range, consistent with the site disorder of the Fe and Co...

Source: http://arxiv.org/abs/0903.2587v1

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65

Sep 23, 2013
09/13

by
G. Hector; E. Macías-Virgós; E. Sanmartín-Carbón

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Let $(M,\mathcal{F})$ be a foliated manifold. We prove that there is a canonical isomorphism between the complex of base-like forms $\Omega^*_b(M,\mathcal{F})$ of the foliation and the "De Rham complex" of the space of leaves $M/\mathcal{F}$ when considered as a "diffeological" quotient. Consequently, the two corresponding cohomology groups $H^*_b(M,\mathcal{F})$ and $H^*(M/\mathcal{F})$ are isomorphic.

Source: http://arxiv.org/abs/0903.2871v1

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65

Sep 23, 2013
09/13

by
C. V. Chianca; J. S. S. Martins; P. M. C. de Oliveira

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We perform a computational study of a variant of the ``train'' model for earthquakes [PRA 46, 6288 (1992)], where we assume a static friction that is a stochastic function of position rather than being velocity dependent. The model consists of an array of blocks coupled by springs, with the forces between neighbouring blocks balanced by static friction. We calculate the probability, P(s), of the occurrence of avalanches with a size s or greater, finding that our results are consistent with the...

Source: http://arxiv.org/abs/0903.2787v1

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65

Sep 23, 2013
09/13

by
Valerie J. Mikles; Peggy Varniere; Stephen S. Eikenberry; Jerome Rodriguez; Dave Rothstein

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It is widely believed that the low frequency quasi-periodic X-ray oscillations observed in microquasars are correlated to, but do not originate at, the physical radius of the inner edge of the accretion disk. Models relating the QPO frequency and color radius are hindered by observations showing contradicting trend correlations between the microquasars GRO 1655-40, XTE J1550-564 and GRS 1915+105. The first shows a negative correlation and the latter two a positive one. By taking into account...

Source: http://arxiv.org/abs/0903.2680v1

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63

Sep 23, 2013
09/13

by
P. Boumis; J. Meaburn; M. Lloyd; S. Akras

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A deep wide-field image in the light of the Halpha+[N II] emission lines, of the planetary nebula HFG1 which surrounds the precataclysmic binary system V664 Cas, has revealed a tail of emission at least 20' long, at a position angle of 316deg. Evidence is presented which suggests that this is an ~10^5 y old trail of shocked material, left behind V664 Cas as it ejects matter whilst ploughing through its local interstellar media at anywhere between 29 and 59 km/s depending on its distance from...

Source: http://arxiv.org/abs/0903.2852v1

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Sep 23, 2013
09/13

by
Daniel A Spielman; Jaeoh Woo

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Boman and Hendrickson observed that one can solve linear systems in Laplacian matrices in time $\bigO{m^{3/2 + o (1)} \ln (1/\epsilon)}$ by preconditioning with the Laplacian of a low-stretch spanning tree. By examining the distribution of eigenvalues of the preconditioned linear system, we prove that the preconditioned conjugate gradient will actually solve the linear system in time $\softO{m^{4/3} \ln (1/\epsilon)}$.

Source: http://arxiv.org/abs/0903.2816v1

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Sep 18, 2013
09/13

by
Franziska Synatschke; Georg Bergner; Holger Gies; Andreas Wipf

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We study supersymmetric quantum mechanics with the functional RG formulated in terms of an exact and manifestly off-shell supersymmetric flow equation for the effective action. We solve the flow equation nonperturbatively in a systematic super-covariant derivative expansion and concentrate on systems with unbroken supersymmetry. Already at next-to-leading order, the energy of the first excited state for convex potentials is accurately determined within a 1% error for a wide range of couplings...

Source: http://arxiv.org/abs/0809.4396v2

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Sep 22, 2013
09/13

by
Andreas Luscher; Andreas Laeuchli

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We study the field dependence of the antiferromagnetic spin-1/2 Heisenberg model on the square lattice by means of exact diagonalizations. In a first part, we calculate the spin-wave velocity, the spin-stiffness, and the magnetic susceptibility and thus determine the microscopic parameters of the low-energy long-wavelength description. In a second part, we present a comprehensive study of dynamical spin correlation functions for magnetic fields ranging from zero up to saturation. We find that...

Source: http://arxiv.org/abs/0812.3420v3

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57

Sep 23, 2013
09/13

by
Yann Bugeaud; Bernard De Mathan

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Let $d$ be a positive integer. Let $p$ be a prime number. Let $\alpha$ be a real algebraic number of degree $d+1$. We establish that there exist a positive constant $c$ and infinitely many algebraic numbers $\xi$ of degree $d$ such that $|\alpha - \xi| \cdot \min\{|\Norm(\xi)|_p,1\} < c H(\xi)^{-d-1} (\log 3 H(\xi))^{-1/d}$. Here, $H(\xi)$ and $\Norm(\xi)$ denote the na{\"\i}ve height of $\xi$ and its norm, respectively. This extends an earlier result of de Mathan and Teuli\'e that...

Source: http://arxiv.org/abs/0903.2741v1

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Sep 23, 2013
09/13

by
Khodabakhsh Hessami Pilehrood; Tatiana Hessami Pilehrood

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We establish a $q$-analogue of the Bailey-Borwein-Bradley identity generating accelerated series for even zeta values and prove $q$-analogues of Markov's and Amdeberhan's series for $\zeta(3)$ using the $q$-Markov-WZ method.

Source: http://arxiv.org/abs/0903.2843v1

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Oct 28, 2014
10/14

by
Razi, Tahmine; Moslemzade, Seyed Hosein; Razi, Sedighe

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This article is from Journal of Dental Research, Dental Clinics, Dental Prospects , volume 3 . Abstract Background and aims: Panoramic radiography is a method widely used because of low absorbed dose in patients (ap-proximately 10 times less than that in the full mouth survey), reasonable cost and time. Disadvantages of this radiography technique are magnification and distortion as a result of unequal magnification, which can influence dimensional and angular measurements used in clinical...

Source: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3517203

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Oct 23, 2017
10/17

by
Government of Goa

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The Goa Gazette Published by the Government Printing Press Government of Goa Published By Authority Gazette Number: 0809-50 Gazette Date: 2009-03-16 Gazette Series: SI Gazette Type: OG - Ordinary Gazette - Extraordinary Gazette Gazette No: 1 Official Details Link

Topic: Goa Gazette

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53

Sep 23, 2013
09/13

by
Jean-Francois Clément; Jean-Philippe Brantut; Martin Robert De Saint Vincent; Robert A. Nyman; A. Aspect; Thomas Bourdel; Philippe Bouyer

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We demonstrate runaway evaporative cooling directly with a tightly confining optical dipole trap and achieve fast production of condensates of 1.5x10^5 87Rb atoms. Our scheme is characterized by an independent control of the optical trap confinement and depth, permitting forced evaporative cooling without reducing the trap stiffness. Although our configuration is particularly well suited to the case of 87Rb atoms in a 1565nm optical trap, where an efficient initial loading is possible, our...

Source: http://arxiv.org/abs/0903.2745v1

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Sep 18, 2013
09/13

by
Dev P. Sinha

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We present two models for the space of knots which have endpoints at fixed boundary points in a manifold with boundary, one model defined as an inverse limit of spaces of maps between configuration spaces and another which is cosimplicial. These models build on the calculus of isotopy functors and are weakly homotopy equivalent to knot spaces when the ambient dimension is greater than three. The mapping space model, and the evaluation map on which it builds, is suitable for analysis through...

Source: http://arxiv.org/abs/math/0202287v7

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Sep 23, 2013
09/13

by
Vincent Beck

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Let $\Ascr,\Bscr$ be exact categories with $\Ascr$ karoubian and $M$ be an exact functor. Under suitable adjonction hypotheses for $M$, we are able to show that the direct factors of the objects of $\Ascr$ of the form $MY$ with $Y \in \Bscr$ make up a Frobenius category which allow us to define an $M$-stable category for $\Ascr$ only by quotienting. In addition, we propose a construction of an $M$-stable category for $\Ascr,\Bscr$ triangulated categories and $M$ a triangulated functor. We...

Source: http://arxiv.org/abs/0903.2868v1

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Sep 23, 2013
09/13

by
Guo-Li Liu

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Topcolor-assisted technicolor (TC2) model predicts the existence of the top-pions and the CP-even top-Higgs with large flavor-changing couplings to the top quark, which at tree-level can mediate the top quark three-body decay t -> cb\bar{b}. In this work we study this decay, showing the dependence of the decay rate on the relevant TC2 parameters and comparing the results with the predictions in the minimal supersymmetric model. We find that the decay rate in the TC2 model is much larger than...

Source: http://arxiv.org/abs/0903.2619v1

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Oct 25, 2014
10/14

by
Koodaryan, Roodabeh; Rafighi, Ali; Hafezeqoran, Ali

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This article is from Journal of Dental Research, Dental Clinics, Dental Prospects , volume 3 . Abstract Background and aims: Class III malocclusions are considered complex and difficult orthodontic problems to diagnose and treat. The purpose of this study was to investigate the morphologic characteristics of the craniofacial complex of adults with Class III malocclusion in an Iranian population. Materials and methods: Lateral cephalometric radiographs of 50 patients with Class III malocclusion...

Source: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3517198

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Sep 21, 2013
09/13

by
Stephan Durr

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A Lie-algebra based recipe for smoothing gauge links in lattice field theory is presented, building on the matrix logarithm. With or without hypercubic nesting, this LOG/HYL smearing yields fat links which are differentiable w.r.t. the original ones. This is essential for defining UV-filtered ("fat link") fermion actions which may be simulated with a HMC-type algorithm. The effect of this smearing on the distribution of plaquettes and on the residual mass of tree-level O(a)-improved...

Source: http://arxiv.org/abs/0709.4110v2

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Sep 18, 2013
09/13

by
Hamid R. Molavian; Michel J. P. Gingras

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Despite a Curie-Weiss temperature $\theta_{\rm CW} \sim -14$ K, the Tb2Ti2O7 pyrochlore magnetic material lacks long range magnetic order down to at least $T^*\approx 50$ mK. It has recently been proposed that the low temperature collective paramagnetic or spin liquid regime of this material may be akin to a spin ice state subject to both thermal and quantum fluctuations $-$ a {\it quantum spin ice} (QSI) of sorts. Here we explore the effect of a magnetic field ${\bm B}$ along the $[111]$...

Source: http://arxiv.org/abs/0809.3477v2

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Sep 23, 2013
09/13

by
Songzi Du

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This paper works out the rate of convergence of two "natural" random walks on the dicyclic group.

Source: http://arxiv.org/abs/0903.2692v1

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Sep 23, 2013
09/13

by
Mark Wildon

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This paper presents a solution to the Knights and Spies Problem: In a room there are n people, each labelled with a unique number between 1 and n. A person may either be a knight or a spy. Knights always tell the truth, while spies may either lie or tell the truth, as they see fit. Each person in the room knows the identity of everyone else. Apart from this, all that is known is that strictly more knights than spies are present. Asking only questions of the form: `Person i, what is the identity...

Source: http://arxiv.org/abs/0903.2869v1

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Sep 22, 2013
09/13

by
Krzysztof G. Hełminiak

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We study the impact of the atmospheric differential chromatic refraction on the measurements and precision of relative astrometry. Specifically, we address the problem of measuring the separations of close pairs of binary stars with adaptive optics in the J and K bands. We investigate the influence of weather conditions, zenithal distance, star's spectral type and observing wavelength on the astrometric precision and determine the accuracy of these parameters that is necessary to detect...

Source: http://arxiv.org/abs/0805.3369v3

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Sep 23, 2013
09/13

by
Chris Orum; Cliff A Joslyn

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We extend the definitions of upper and lower valuations on partially ordered sets, and consider the metrics they induce, in particular the metrics available (or not) based on the logarithms of such valuations. Motivating applications in computational linguistics and computational biology are indicated.

Source: http://arxiv.org/abs/0903.2679v1

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Sep 23, 2013
09/13

by
Najib Mahdou; Mohammed Tamekkante; Siamak Yassemi

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We compute the Gorenstein weak dimension of a coherent power series rings over a commutative rings and we show that, in general, $\gwd(R) \leq 1$ does not imply that $R$ is an arithmetical ring.

Source: http://arxiv.org/abs/0903.2779v1

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Oct 24, 2014
10/14

by
Minaev, Boris; Lindgren, Mikael

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This article is from Sensors (Basel, Switzerland) , volume 9 . Abstract Bis-MPA dendron-coated free-base tetraphenylporphyrin and zinc-tetraphenyl-porphyrin (TPPH2 and TPPZn) were studied in comparison with simple porphyrins (H2P, ZnP) by theoretical simulation of their infrared, Raman and electronic absorption spectra, as well as fluorescense emission. Infrared and fluorescence spectra of the dendrimers were measured and interpreted along with time-resolved measurements of the fluorescence....

Source: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3345821

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Sep 23, 2013
09/13

by
Charles P. Meaney; Tim Duty; Ross H. McKenzie; Gerard J. Milburn

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We consider the steady states of a harmonic oscillator coupled so strongly to a two-level system (a qubit) that the rotating wave approximation cannot be made. The Hamiltonian version of this model is known as the $E\otimes\beta$ Jahn-Teller model. The semiclassical version of this system exhibits a fixed point bifurcation, which in the quantum model leads to a ground state with substantial entanglement between the oscillator and the qubit. We show that the dynamical bifurcation survives in a...

Source: http://arxiv.org/abs/0903.2681v1

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48

Sep 23, 2013
09/13

by
Daniel Allcock

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We prove the following: there are infinitely many finite-covolume (resp. cocompact) Coxeter groups acting on hyperbolic space H^n for every n < 20 (resp. n < 7). When n=7 or 8, they may be taken to be nonarithmetic. Furthermore, for 1 < n < 20, with the possible exceptions n=16 and 17, the number of essentially distinct Coxeter groups in H^n with noncompact fundamental domain of volume less than or equal to V grows at least exponentially with respect to V. The same result holds for...

Source: http://arxiv.org/abs/0903.0138v2

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Sep 23, 2013
09/13

by
Konrad Schmuedgen

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In this paper we investigate a *-algebra $\cX$ of fractions associated with a unital complex *-algebra $\cA$. The algebra $\cX$ and its Hilbert space representations are used to prove abstract noncommutative strict Positivstellens\"atze for $\cA$. Multi-grading of $\cA$ are studied as technical tools to verify the assumptions of this theorem. As applications we obtain new strict Positivstellens\"atze for the Weyl algebra and for the Lie algebra $\cg$ of the affine group of the real...

Source: http://arxiv.org/abs/0903.2708v1

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Sep 23, 2013
09/13

by
Hichem Hajaiej

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We prove the existence of radial and radially decreasing ground states of an m-coupled nonlinear Schrodinger equation with a general nonlinearity.

Source: http://arxiv.org/abs/0903.2854v1