Mathematical Physics

Authors and titles for September 2005

[1] arXiv:math-ph/0509001 [cn-pdf, pdf, other]

Title: Zero modes in a system of Aharonov--Bohm solenoids on the Lobachevsky plane Show Chinese title

Title: 阿哈罗诺夫-玻姆磁通管系统中的零模

V. A. Geyler, P. Stovicek

Subjects: Mathematical Physics (math-ph)

[2] arXiv:math-ph/0509002 [cn-pdf, pdf, other]

Title: A Generalization of the Kepler Problem Show Chinese title

Title: 开普勒问题的推广

Guowu Meng

Comments: The final version. To appear in J. Yadernaya fizika

Journal-ref: Physics of Atomic Nuclei (J. Yadernaya fizika), Vol. 71 (2008), 946-950

Subjects: Mathematical Physics (math-ph)

[3] arXiv:math-ph/0509003 [cn-pdf, pdf, other]

Title: BEC of Free Bosons on Networks Show Chinese title

Title: 自由玻色子在网络上的玻色-爱因斯坦凝聚

Taku Matsui

Subjects: Mathematical Physics (math-ph)

[4] arXiv:math-ph/0509004 [cn-pdf, pdf, other]

Title: The scaling limit of two cluster boundaries in critical lattice models Show Chinese title

Title: 临界格点模型中两个簇边界的标度极限

Adam Gamsa, John Cardy

Comments: 27 pages, 7 figures

Journal-ref: J. Stat. Mech. (2005) P12009

Subjects: Mathematical Physics (math-ph) ; Statistical Mechanics (cond-mat.stat-mech)

[5] arXiv:math-ph/0509005 [cn-pdf, pdf, other]

Title: Computable Integrability. Chapter 5: Factorization of LPDOs Show Chinese title

Title: 可计算的可积性。 第五章：LPDO的分解

E.Kartashova, A. Shabat

Comments: This is Chapter 5 of the book "Computable Integrability", it consists of 33 pages

Subjects: Mathematical Physics (math-ph)

[6] arXiv:math-ph/0509006 [cn-pdf, pdf, other]

Title: Kinetic equation and clipping - two limits of wave turbulence theory Show Chinese title

Title: 湍流理论的动能方程和截断——两个极限

E. Kartashova

Comments: Text consists of 17 pages. Results of numeric simulations, described in text, can also be obtained from author in the form of corresponding figures (I could not download them together with the text)

Subjects: Mathematical Physics (math-ph)

[7] arXiv:math-ph/0509007 [cn-pdf, pdf, other]

Title: Multidimensional continued fractions, dynamical renormalization and KAM theory Show Chinese title

Title: 多维连分数，动力学重整化和KAM理论

K Khanin, J Lopes-Dias, J Marklof

Comments: 51 pages

Journal-ref: Comm Math Phys 270 (2007) 197-231

Subjects: Mathematical Physics (math-ph) ; Dynamical Systems (math.DS)

[8] arXiv:math-ph/0509008 [cn-pdf, pdf, other]

Title: Bernoulli-like polynomials associated with Stirling Numbers Show Chinese title

Title: 与斯特林数相关的伯努利型多项式

Carl M. Bender, Dorje C. Brody, Bernhard K. Meister

Comments: 3 pages

Subjects: Mathematical Physics (math-ph)

[9] arXiv:math-ph/0509009 [cn-pdf, pdf, other]

Title: Rayleigh Scattering at Atoms with Dynamical Nuclei Show Chinese title

Title: 瑞利散射在具有动态核的原子上

J. Froehlich, M. Griesemer, B. Schlein

Comments: 45 pages, 1 figure

Subjects: Mathematical Physics (math-ph)

[10] arXiv:math-ph/0509010 [cn-pdf, pdf, other]

Title: Calogero-Sutherland Model with Anti-periodic Boundary Conditions: Eigenvalues and Eigenstates Show Chinese title

Title: 具有反周期边界条件的 Calogero-Sutherland 模型：特征值与特征态

Arindam Chakraborty, Subhankar Ray, J. Shamanna

Comments: 9 pages, 4 figures

Subjects: Mathematical Physics (math-ph) ; Statistical Mechanics (cond-mat.stat-mech) ; High Energy Physics - Theory (hep-th)

[11] arXiv:math-ph/0509011 [cn-pdf, pdf, other]

Title: Boundary qKZ equation and generalized Razumov-Stroganov sum rules for open IRF models Show Chinese title

Title: 边界qKZ方程和开放IRF模型的广义Razumov-Stroganov求和规则

P. Di Francesco

Comments: 21 pages, 7 figures, 1 table, uses epsf and lanlmac conclusion slightly modified

Subjects: Mathematical Physics (math-ph) ; Statistical Mechanics (cond-mat.stat-mech) ; Combinatorics (math.CO)

[12] arXiv:math-ph/0509012 [cn-pdf, pdf, other]

Title: Asymptotic analysis of a line source diffraction by a perfectly conducting half-plane in a bi-isotropic medium Show Chinese title

Title: 完美导电半平面在双各向同性介质中线源衍射的渐近分析

Wasiq Hussain

Comments: 18 pages

Journal-ref: Progress in Electromagnetics Research, PIER 58, 271-283, 2006

Subjects: Mathematical Physics (math-ph)

[13] arXiv:math-ph/0509013 [cn-pdf, pdf, other]

Title: Ince's limits for confluent and double-confluent Heun equations Show Chinese title

Title: Ince 对合流和双合流 Heun 方程的极限

B. D. Bonorino Figueiredo

Comments: Submitted to Journal of Mathmatical Physics

Subjects: Mathematical Physics (math-ph)

[14] arXiv:math-ph/0509014 [cn-pdf, pdf, other]

Title: Reduced Gutzwiller formula with symmetry: case of a Lie group Show Chinese title

Title: 对称性下的简化古茨维勒公式：李群的情况

Roch Cassanas (LMJL)

Comments: 23 pages

Subjects: Mathematical Physics (math-ph)

[15] arXiv:math-ph/0509015 [cn-pdf, pdf, other]

Title: Construction of graded differential algebra with ternary differential Show Chinese title

Title: 带有三元微分的分次微分代数的构造

Nadezda Bazunova

Comments: 10 pages. This version will be published in Contemporary Mathematics (Proc. of Conference on "Non-commutative Geometry in Mathematical Physics", Karshtad, July 2004)

Subjects: Mathematical Physics (math-ph)

[16] arXiv:math-ph/0509016 [cn-pdf, pdf, other]

Title: Left-symmetric algebras, or pre-Lie algebras in geometry and physics Show Chinese title

Title: 左对称代数，或几何和物理中的预李代数

Dietrich Burde

Comments: 28 pages, 3 figures

Journal-ref: Central European Journal of Mathematics 4, Nr. 3, 323-357 (2006).

Subjects: Mathematical Physics (math-ph)

[17] arXiv:math-ph/0509017 [cn-pdf, pdf, other]

Title: Quantum spin systems at positive temperature Show Chinese title

Title: 量子自旋系统在正温度下

Marek Biskup, Lincoln Chayes, Shannon Starr

Comments: 47 pages, version to appear in CMP (style files included)

Journal-ref: Commun. Math. Phys. 269 (2007), no. 3, 611-657

Subjects: Mathematical Physics (math-ph) ; Statistical Mechanics (cond-mat.stat-mech) ; Operator Algebras (math.OA) ; Quantum Physics (quant-ph)

[18] arXiv:math-ph/0509018 [cn-pdf, pdf, other]

Title: Braided products for quantum spaces Show Chinese title

Title: 量子空间的辫积

Hartmut Wachter

Comments: Latex, 47 pages, no figures

Subjects: Mathematical Physics (math-ph)

[19] arXiv:math-ph/0509019 [cn-pdf, pdf, other]

Title: Irreducible bilinear tensorial concomitants of an arbitrary complex bivector Show Chinese title

Title: 任意复二向量的不可约双线性张量伴随量

T. D. Carozzi, J. E. S. Bergman

Comments: 9 pages, 0 figures, submitted to J. Math. Phys

Subjects: Mathematical Physics (math-ph)

[20] arXiv:math-ph/0509020 [cn-pdf, pdf, other]

Title: Observables I: Stone Spectra Show Chinese title

Title: 可观测量 I：Stone谱

Hans F. de Groote

Comments: 77 pages, no figures

Subjects: Mathematical Physics (math-ph) ; Operator Algebras (math.OA) ; Quantum Physics (quant-ph)

[21] arXiv:math-ph/0509021 [cn-pdf, pdf, other]

Title: Hermite and Laguerre $β$-ensembles: asymptotic corrections to the eigenvalue density Show Chinese title

Title: 赫米特和拉盖尔$β$-系：特征值密度的渐近修正

Patrick Desrosiers, Peter J. Forrester

Comments: 26 pages, 6 figures; published version, minor changes, 2 refs added

Journal-ref: Nucl. Phys. B 743 (2006) 307--322

Subjects: Mathematical Physics (math-ph)

[22] arXiv:math-ph/0509022 [cn-pdf, pdf, other]

Title: Lifshitz Tails in Constant Magnetic Fields Show Chinese title

Title: 常磁场中的Lifshitz尾部

Frédéric Klopp (LAGA), Georgi Raikov

Subjects: Mathematical Physics (math-ph)

[23] arXiv:math-ph/0509023 [cn-pdf, pdf, other]

Title: Non-Laplace type Operators on Manifolds with Boundary Show Chinese title

Title: 边界流形上的非拉普拉斯型算子

Ivan G. Avramidi

Comments: Introduction and bibliography significantly expanded. 39 pages, no figures, to be published in: Proceedings of the Workshop ``Krzysztof Wojciechowski 50 years - Analysis and Geometry of Boundary Value Problems'', Roskilde, Denmark, 20-22 May, 2005; Minor cosmetic changes in version 3

Journal-ref: Analysis, Geometry and Topology of Elliptic Operators, Eds. B. Booss-Bavnbek, S. Klimek, M. Lesch and W. Zhang (Singapore: World Scientific, 2006), pp. 119-152

Subjects: Mathematical Physics (math-ph) ; High Energy Physics - Theory (hep-th) ; Analysis of PDEs (math.AP) ; Spectral Theory (math.SP)

[24] arXiv:math-ph/0509024 [cn-pdf, pdf, other]

Title: Computable Integrability. Chapter 2: Riccati equation Show Chinese title

Title: 可计算的可积性。 第二章：Riccati方程

E. Kartashova, A. Shabat

Comments: This text is preliminary version of Chapter 2 of the ook "Computable Integrability", it consists of 31 pages

Subjects: Mathematical Physics (math-ph)

[25] arXiv:math-ph/0509025 [cn-pdf, pdf, other]

Title: Mass, Impetus and Force by Symplectic Realizations of the Static Group Show Chinese title

Title: 质量、动量和力的辛实现的静态群

Joachim Nzotungicimpaye

Comments: 11 pages

Subjects: Mathematical Physics (math-ph)

[26] arXiv:math-ph/0509026 [cn-pdf, pdf, other]

Title: Fisher-Hartwig conjecture and the correlators in XY spin chain Show Chinese title

Title: 费希尔-哈特维希猜想与XY自旋链中的关联子

An.A.Ovchinnikov

Comments: LaTex, 10 pages

Journal-ref: Phys.Lett.A366:357-362,2007

Subjects: Mathematical Physics (math-ph) ; High Energy Physics - Theory (hep-th) ; Exactly Solvable and Integrable Systems (nlin.SI)

[27] arXiv:math-ph/0509027 [cn-pdf, pdf, other]

Title: Quadratic Quantum Hamiltonians revisited Show Chinese title

Title: 二次量子哈密顿量的再审视

Monique Combescure (IPNL), Didier Robert (LMJL)

Subjects: Mathematical Physics (math-ph)

[28] arXiv:math-ph/0509028 [cn-pdf, pdf, other]

Title: Smoothness of Wave Functions in Thermal Equilibrium Show Chinese title

Title: 热平衡状态下波函数的光滑性

Roderich Tumulka, Nino Zanghi

Comments: 16 pages LaTeX, no figures

Journal-ref: J. Math. Phys. 46 (2005) 112104

Subjects: Mathematical Physics (math-ph) ; Quantum Physics (quant-ph)

[29] arXiv:math-ph/0509029 [cn-pdf, pdf, other]

Title: From Random Matrices to Quasiperiodic Jacobi Matrices via Orthogonal Polynomials Show Chinese title

Title: 从随机矩阵通过正交多项式到准周期 Jacobi 矩阵

Leonid Pastur (Institute for Low Temperature Physics, Kharkiv, Ukraine)

Subjects: Mathematical Physics (math-ph)

[30] arXiv:math-ph/0509030 [cn-pdf, pdf, other]

Title: Trace formula and spectral Riemann surfaces for a class of tri-diagonal matrices Show Chinese title

Title: 迹公式和一类三对角矩阵的谱黎曼曲面

Plamen Djakov, Boris Mityagin

Comments: 38 pages

Subjects: Mathematical Physics (math-ph) ; Functional Analysis (math.FA)

[31] arXiv:math-ph/0509031 [cn-pdf, pdf, other]

Title: Geometrical Spinoptics and the Optical Hall Effect Show Chinese title

Title: 几何自旋光学与光学霍尔效应

Christian Duval (CPT), Zalan Horvath (ITP), Peter Horvathy (LMPT)

Comments: 33 pages. Two subsections and new references added. To appear in the Journal of Geometry and Physics

Journal-ref: J.Geom.Phys. 57 (2007) 925-941

Subjects: Mathematical Physics (math-ph) ; High Energy Physics - Theory (hep-th) ; Symplectic Geometry (math.SG) ; Optics (physics.optics)

[32] arXiv:math-ph/0509032 [cn-pdf, pdf, other]

Title: q-Deformed quantum Lie algebras Show Chinese title

Title: q-变形量子李代数

Alexander Schmidt, Hartmut Wachter

Comments: Latex, 49 pages, no figures

Subjects: Mathematical Physics (math-ph)

[33] arXiv:math-ph/0509033 [cn-pdf, pdf, other]

Title: Graded contractions of the Pauli graded sl(3,C) Show Chinese title

Title: 保罗氏分级的sl(3,C)的分级收缩

J. Hrivnak, P. Novotny, J. Patera, J. Tolar

Comments: 48 pages, 1 figure, 4 tables, 2 appendices

Journal-ref: Linear Algebra and its Applications, Vol. 418, Issues 2-3 (15 October 2006), pp. 498-550

Subjects: Mathematical Physics (math-ph)

[34] arXiv:math-ph/0509034 [cn-pdf, pdf, other]

Title: Asymptotics of instability zones of the Hill operator with a two term potential Show Chinese title

Title: 二项式势的Hill算子不稳定区的渐进行为

Plamen Djakov, Boris Mityagin

Comments: 39 pages

Subjects: Mathematical Physics (math-ph) ; Functional Analysis (math.FA)

[35] arXiv:math-ph/0509035 [cn-pdf, pdf, other]

Title: Integrals involving triplets of Jacobi and Gegenbauer polynomials and some 3j-symbols of SO(n), SU(n) and Sp(4) Show Chinese title

Title: 涉及雅可比多项式和盖根鲍尔多项式三元组的积分以及SO(n)、SU(n)和Sp(4)的一些3j符号

S. Alisauskas

Comments: 28 pages, Chapter 9 (invited contribution) in Studies of Mathematical Physics Research, Ed. Ch. V.Benton (Nova Science Publ., Hauppauge NY), pp. 203--241, 2004

Subjects: Mathematical Physics (math-ph)

[36] arXiv:math-ph/0509036 [cn-pdf, pdf, other]

Title: Euclidean Gibbs Measures of Quantum Anharmonic Crystals Show Chinese title

Title: 欧几里得量子非谐晶格的吉布斯测度

Yuri Kozitsky, Tatiana Pasurek

Subjects: Mathematical Physics (math-ph) ; Probability (math.PR)

[37] arXiv:math-ph/0509038 [cn-pdf, pdf, other]

Title: Averaged coordination numbers of planar aperiodic tilings Show Chinese title

Title: 平面非周期铺砌的平均配位数

Michael Baake (Bielefeld), Uwe Grimm (Milton Keynes)

Comments: 6 pages

Journal-ref: Philosophical Magazine 86 (2006) 567-572

Subjects: Mathematical Physics (math-ph)

[38] arXiv:math-ph/0509039 [cn-pdf, pdf, other]

Title: Orthogonality of Jack polynomials in superspace Show Chinese title

Title: 超空间中杰克多项式的正交性

Patrick Desrosiers, Luc Lapointe, Pierre Mathieu

Comments: 22 pages, this supersedes the second part of math.CO/0412306; (v2) 24 pages, title and abstract slightly modified, minor changes, typos corrected

Journal-ref: Advances in Mathematics 212 (2007) 361-388

Subjects: Mathematical Physics (math-ph) ; Combinatorics (math.CO)

[39] arXiv:math-ph/0509040 [cn-pdf, pdf, other]

Title: Clifford algebras, spinors and fundamental interactions : Twenty Years After Show Chinese title

Title: 克利福德代数、旋量和基本相互作用：二十年后

Robert Coquereaux (CPT)

Comments: 14 pages

Journal-ref: Advances in Applied Clifford Algebras 19(3):673-686 (2005)

Subjects: Mathematical Physics (math-ph)

[40] arXiv:math-ph/0509041 [cn-pdf, pdf, other]

Title: A functional central limit theorem for interacting particle systems on transitive graphs Show Chinese title

Title: 具有相互作用粒子系统的传递图上的函数中心极限定理

Paul Doukhan, Gabriel Lang, Sana Louhichi, Bernard Ycart

Comments: 35 pages

Subjects: Mathematical Physics (math-ph) ; Probability (math.PR)

[41] arXiv:math-ph/0509042 [cn-pdf, pdf, other]

Title: Generalization of Conformal Transformations Show Chinese title

Title: 共形变换的推广

G. I. Garas'ko

Comments: 10 pages

Subjects: Mathematical Physics (math-ph)

[42] arXiv:math-ph/0509043 [cn-pdf, pdf, other]

Title: Perturbed Hankel Determinants Show Chinese title

Title: 扰动的Hankel行列式

Estelle Basor, Yang Chen

Comments: 10 pages

Subjects: Mathematical Physics (math-ph)

[43] arXiv:math-ph/0509044 [cn-pdf, pdf, other]

Title: Random polynomials, random matrices, and $L$-functions Show Chinese title

Title: 随机多项式，随机矩阵，和$L$-函数

David W Farmer, Francesco Mezzadri, Nina C Snaith

Comments: Added background material. Final version. To appear in Nonlinearity

Journal-ref: Nonlinearity 19 (2006) 919-936

Subjects: Mathematical Physics (math-ph) ; Number Theory (math.NT)

[44] arXiv:math-ph/0509045 [cn-pdf, pdf, other]

Title: Multiclass processes, dual points and M/M/1 queues Show Chinese title

Title: 多类过程，双点和M/M/1队列

Pablo A. Ferrari, James B. Martin

Comments: 24 pages, 14 figures

Subjects: Mathematical Physics (math-ph) ; Probability (math.PR)

[45] arXiv:math-ph/0509046 [cn-pdf, pdf, other]

Title: Uncertainty Principle and Quantum Fisher Information Show Chinese title

Title: 不确定性原理和量子费舍尔信息

P. Gibilisco, T. Isola

Comments: 12 pages (approx.). v2. Same as accepted version

Subjects: Mathematical Physics (math-ph) ; Statistics Theory (math.ST)

[46] arXiv:math-ph/0509047 [cn-pdf, pdf, other]

Title: Scattering in relativistic quantum field theory: basic concepts, tools, and results Show Chinese title

Title: 相对论量子场论中的散射：基本概念、工具和结果

Detlev Buchholz, Wojciech Dybalski

Comments: 15 pages, no figures. v2: A revised and updated version of a review article for the second edition of the Encyclopedia of Mathematical Physics, projected by Elsevier. With regard to the previous edition in 2006, also one of the authors as well as the title have changed v3: reference added

Subjects: Mathematical Physics (math-ph) ; High Energy Physics - Theory (hep-th) ; Spectral Theory (math.SP)

[47] arXiv:math-ph/0509048 [cn-pdf, pdf, other]

Title: Reduction and Exact Solutions of the Ideal Magnetohydrodynamic Equations Show Chinese title

Title: 理想磁流体动力学方程的约简和精确解

Philippe Picard

Comments: Work-in-progress of some exact solutions of the ideal MHD solutions. We use an analytical method to obtain several particular solutions of this quasilinear and hyperbolic system of PDEs

Subjects: Mathematical Physics (math-ph)

[48] arXiv:math-ph/0509049 [cn-pdf, pdf, other]

Title: Spontaneous $SU_2(\mathbb{C})$ symmetry breaking in the ground states of quantum spin chain Show Chinese title

Title: 量子自旋链基态中的自发$SU_2(\mathbb{C})$对称性破缺

Anilesh Mohari

Comments: This version is a significant revision of the last version incorporating reports that I have received on its last version

Subjects: Mathematical Physics (math-ph) ; Operator Algebras (math.OA)

[49] arXiv:math-ph/0509050 [cn-pdf, pdf, other]

Title: On Computation of Groebner Bases for Linear Difference Systems Show Chinese title

Title: 关于线性差分系统Groebner基的计算

Vladimir P. Gerdt

Comments: 5 pages, presented at ACAT-2005

Subjects: Mathematical Physics (math-ph) ; Rings and Algebras (math.RA)

[50] arXiv:math-ph/0509051 [cn-pdf, pdf, other]

Title: Octonions and vacuum stability Show Chinese title

Title: 八元数和真空稳定性

Mikhail V. Gorbatenko

Comments: Paper for Conference PIRT-2005 (Physical Interpretations of Relativity Theory; Moscow, BMSTU, July 2005)

Subjects: Mathematical Physics (math-ph)