Mathematical Physics

Authors and titles for February 2017

[1] arXiv:1702.00051 [cn-pdf, pdf, other]

Title: Analytical solutions of the Dirac equation using the Tridiagonal Representation Approach: General study, limitations, and possible applications Show Chinese title

Title: Dirac方程的解析解使用三对角表示法：一般研究，局限性和可能的应用

Ibsal. Assi, Hocine Bahlouli

Subjects: Mathematical Physics (math-ph)

[2] arXiv:1702.00594 [cn-pdf, pdf, other]

Title: Additive self-similar approximants Show Chinese title

Title: 加性自相似逼近项

S. Gluzman, V.I. Yukalov

Comments: Latex file, 15 pages

Journal-ref: J. Math. Chem. 55 (2017) 607-622

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

[3] arXiv:1702.00665 [cn-pdf, pdf, other]

Title: Integral and differential structures for quantum field theory Show Chinese title

Title: 积分和微分结构在量子场论中的应用

L. E. Labuschagne, W. A. Majewski

Comments: Amended version. In particular, the statement that fields obtained by the Osterwalder-Schrader reconstruction are regular has been studied in detail

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

[4] arXiv:1702.00702 [cn-pdf, pdf, other]

Title: On the causality and $K$-causality between measures Show Chinese title

Title: 论测度之间的因果性和$K$-因果性

Tomasz Miller

Comments: 10 pages, contribution to the proceedings of the conference "Varying Constants and Fundamental Cosmology - VARCOSMOFUN'16", 12-17 September 2016, Szczecin, Poland

Subjects: Mathematical Physics (math-ph) ; General Relativity and Quantum Cosmology (gr-qc)

[5] arXiv:1702.00827 [cn-pdf, pdf, other]

Title: Derivation of the Hartree equation for compound Bose gases in the mean field limit Show Chinese title

Title: Hartree方程在平均场极限下的复合玻色气体推导

Ioannis Anapolitanos, Michael Hott, Dirk Hundertmark

Comments: Slight updates, a few new remarks, a few refferences added

Subjects: Mathematical Physics (math-ph)

[6] arXiv:1702.00843 [cn-pdf, pdf, other]

Title: Recursive Representation of Wronskians in Confluent Supersymmetric Quantum Mechanics Show Chinese title

Title: 合流超对称量子力学中Wronskians的递归表示

Alonso Contreras-Astorga, Axel Schulze-Halberg

Journal-ref: J. Phys. A: Math. Theor. 50 (2017) 105301 (15pp)

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

[7] arXiv:1702.00851 [cn-pdf, pdf, other]

Title: Scattering properties of two singularly interacting particles on the half-line Show Chinese title

Title: 半线上两个奇异相互作用粒子的散射性质

Sebastian Egger, Joachim Kerner

Journal-ref: Rev. Math. Phys. 29 (2017), no. 10, 1750032

Subjects: Mathematical Physics (math-ph)

[8] arXiv:1702.00856 [cn-pdf, pdf, other]

Title: The infinite square well in a reformulation of Quantum mechanics without potential function Show Chinese title

Title: 量子力学中无势函数的无限深方形阱的重新表述

A.D. Alhaidari, T.J. Taiwo

Comments: 5pages

Subjects: Mathematical Physics (math-ph)

[9] arXiv:1702.00868 [cn-pdf, pdf, other]

Title: Higher lattices, discrete two-dimensional holonomy and topological phases in (3+1) D with higher gauge symmetry Show Chinese title

Title: 高格子，离散二维Holonomy和具有高规范对称性的(3+1)D中的拓扑相

Alex Bullivant, Marcos Calcada, Zoltán Kádár, João Faria Martins, Paul Martin

Comments: V3: Major revision. Clarification of the action of vertex and edge operators. 52 pages, 18 figures. V4: Minor corrections. 53 pages, 18 figures

Journal-ref: Reviews in Mathematical Physics, Vol. 32, No. 04, 2050011 (2020)

Subjects: Mathematical Physics (math-ph) ; Strongly Correlated Electrons (cond-mat.str-el) ; High Energy Physics - Theory (hep-th)

[10] arXiv:1702.00965 [cn-pdf, pdf, other]

Title: Asymptotic Eigenfunctions for a class of Difference Operators Show Chinese title

Title: 一类差分算子的渐近本征函数

Markus Klein, Elke Rosenberger

Journal-ref: Asymptotic Analysis 73, p. 1-36 (2011)

Subjects: Mathematical Physics (math-ph) ; Spectral Theory (math.SP)

[11] arXiv:1702.01004 [cn-pdf, pdf, other]

Title: A numerical study of the extended Kohn-Sham ground states of atoms Show Chinese title

Title: 原子扩展Kohn-Sham基态的数值研究

Eric Cancès (MATHERIALS, CERMICS), Nahia Mourad (CERMICS)

Journal-ref: Commun. Appl. Math. Comput. Sci. 13 (2018) 139-188

Subjects: Mathematical Physics (math-ph)

[12] arXiv:1702.01047 [cn-pdf, pdf, other]

Title: Defining relations for the orbit type strata of SU(2)-lattice gauge models Show Chinese title

Title: SU(2)格点规范模型的轨道类型层的定义关系

Florian Fuerstenberg, Gerd Rudolph, Matthias Schmidt

Comments: 28 pages

Subjects: Mathematical Physics (math-ph)

[13] arXiv:1702.01055 [cn-pdf, pdf, other]

Title: Dressed coherent states in finite quantum systems: a cooperative game theory approach Show Chinese title

Title: 有限量子系统中的穿着相干态：一种合作博弈论方法

A. Vourdas

Journal-ref: Annals of Physics 376 (2017) 153-181

Subjects: Mathematical Physics (math-ph)

[14] arXiv:1702.01057 [cn-pdf, pdf, other]

Title: Quillen metrics and perturbed equations Show Chinese title

Title: Quillen度量和扰动方程

Vamsi Pritham Pingali

Comments: Changed the statement of theorem 1.2 to exclude the Gieseker-Higgs stable case because the proof is incorrect. Also corrected other typographical errors

Subjects: Mathematical Physics (math-ph) ; Algebraic Geometry (math.AG) ; Differential Geometry (math.DG) ; Symplectic Geometry (math.SG)

[15] arXiv:1702.01190 [cn-pdf, pdf, other]

Title: Domain wall six-vertex model with half-turn symmetry Show Chinese title

Title: 带有半转对称性的域壁六顶点模型

Pavel Bleher, Karl Liechty

Comments: 19 pages, 3 figures. Results are now stated for domain wall boundary conditions with rotational symmetry rather than for half-turn boundary conditions as in an earlier version. Accordingly the title is changed slightly, but the technical content is unchanged in v2

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

[16] arXiv:1702.01288 [cn-pdf, pdf, other]

Title: Construction of a relativistic Ornstein-Uhlenbeck process Show Chinese title

Title: 相对论性Ornstein-Uhlenbeck过程的构建

Jürgen Potthoff, Robert Schrader

Comments: Version 3: A typo in one of the citations has been corrected

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

[17] arXiv:1702.01336 [cn-pdf, pdf, other]

Title: Uniqueness and characterization theorems for generalized entropies Show Chinese title

Title: 广义熵的唯一性与表征定理

Alberto Enciso, Piergiulio Tempesta

Comments: 15 pages, no figures

Subjects: Mathematical Physics (math-ph) ; Information Theory (cs.IT) ; High Energy Physics - Theory (hep-th) ; Quantum Physics (quant-ph)

[18] arXiv:1702.01482 [cn-pdf, pdf, other]

Title: Quantum group symmetries and completeness for A_{2n}^(2) open spin chains Show Chinese title

Title: 量子群对称性和 A_{2n}^(2) 开链自旋的完备性

Ibrahim Ahmed, Rafael I. Nepomechie, Chunguang Wang

Comments: 38 pages; v2: corrected expression for coproduct in Sec 4.2; v3: minor corrections to match with published version

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

[19] arXiv:1702.01548 [cn-pdf, pdf, other]

Title: Stabilization of unstable autoresonant modes Show Chinese title

Title: 不稳定自共振模式的稳定化

Oskar Sultanov

Comments: 11 pages, 7 figures

Subjects: Mathematical Physics (math-ph) ; Classical Analysis and ODEs (math.CA) ; Dynamical Systems (math.DS)

[20] arXiv:1702.01643 [cn-pdf, pdf, other]

Title: Extensions of Lattice Groups, Gerbes and Chiral Fermions on a Torus Show Chinese title

Title: 格群的扩展，环面上的Gerbes和手性费米子

Jouko Mickelsson

Comments: Invited talk at the conference "String Geometries and Dualities", IMPA, Rio de Janeiro, December 2016. Details added around eq. (2.2), def. of the Dirac operator on p.8, and the definition of the groupoid in Sect.5

Subjects: Mathematical Physics (math-ph) ; K-Theory and Homology (math.KT)

[21] arXiv:1702.01927 [cn-pdf, pdf, other]

Title: Evaluation of Some Integrals Following from $L_1$, the Constant of the Asymptotic Expansion of $\ln Γ_1 (x+1)$, Originating from Physics (QED) Show Chinese title

Title: 从$L_1$得出的某些积分的评估，$\ln Γ_1 (x+1)$是渐近展开的常数，来源于物理学（QED）

W. Dittrich

Comments: 10 pages

Subjects: Mathematical Physics (math-ph)

[22] arXiv:1702.02003 [cn-pdf, pdf, other]

Title: Group theoretical aspects of $L^2(\mathbb{R}^+)$, $L^2(\mathbb{R}^2)$ and associated Laguerre polynomials Show Chinese title

Title: 群论方面$L^2(\mathbb{R}^+)$，$L^2(\mathbb{R}^2)$和相关的拉盖尔多项式

E. Celeghini, M.A. del Olmo

Comments: 6 pages, 31st International Colloquium on Group Theoretical Methods in Physics, Rio de Janeiro, June 19-25, 2016. Accepted in {\sl Springer Proceeding Series}

Subjects: Mathematical Physics (math-ph)

[23] arXiv:1702.02109 [cn-pdf, pdf, other]

Title: Vector-valued Jack Polynomials and Wavefunctions on the Torus Show Chinese title

Title: 向量值雅各布多项式和环面上的波函数

Charles F. Dunkl

Comments: 26 pages

Journal-ref: J. Phys. A: Math. Theor. 50 (2017) 245201 (21 pp)

Subjects: Mathematical Physics (math-ph) ; Representation Theory (math.RT)

[24] arXiv:1702.02110 [cn-pdf, pdf, other]

Title: The 16-vertex model and its even and odd 8-vertex subcases on the square lattice Show Chinese title

Title: 16-顶点模型及其在正方格子上的偶数和奇数8-顶点子情况

Michael Assis

Comments: 54 pages, 12 figures

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

[25] arXiv:1702.02208 [cn-pdf, pdf, other]

Title: Multipartite Generating Functions and Infinite Products for Quantum Invariants Show Chinese title

Title: 多部分生成函数与量子不变量的无限乘积

A. A. Bytsenko, M. Chaichian

Comments: Dedicated to the memory of our friend and colleague, Petya Kulish. arXiv admin note: substantial text overlap with arXiv:1602.06704; text overlap with arXiv:1012.2636 by other authors

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

[26] arXiv:1702.02319 [cn-pdf, pdf, other]

Title: Refined open intersection numbers and the Kontsevich-Penner matrix model Show Chinese title

Title: 精炼的开放交叉数和康采维奇-佩纳矩阵模型

Alexander Alexandrov, Alexandr Buryak, Ran J. Tessler

Comments: 35 pages, 13 figures; references added

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

[27] arXiv:1702.02338 [cn-pdf, pdf, other]

Title: Cusp singularity in mean field Ising model Show Chinese title

Title: 平均场伊辛模型中的尖点奇异性

Yayoi Abe, Muneyuki Ishida, Erika Nozawa, Takayoshi Ootsuka, Ryoko Yahagi

Comments: 14 pages, 8 figures

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

[28] arXiv:1702.02488 [cn-pdf, pdf, other]

Title: Local time of Levy random walks: a path integral approach Show Chinese title

Title: Levy随机游走的局部时间：路径积分方法

Vaclav Zatloukal

Comments: 10 pages

Journal-ref: Phys. Rev. E 95, 052136 (2017)

Subjects: Mathematical Physics (math-ph)

[29] arXiv:1702.02636 [cn-pdf, pdf, other]

Title: Unique determination of electromagnetic parameters from partial boundary measurements Show Chinese title

Title: 从部分边界测量唯一确定电磁参数

Christian Daveau, Abdessatar Khelifi, Houssem Lihiou

Comments: 16 pages

Subjects: Mathematical Physics (math-ph)

[30] arXiv:1702.02753 [cn-pdf, pdf, other]

Title: The dressing field method of gauge symmetry reduction, a review with examples Show Chinese title

Title: 规范对称性约减的配景场方法，带示例的综述

J. Attard, J. François, S. Lazzarini, T. Masson

Comments: Submitted to International Journal of Geometric Methods in Modern Physics, 38 pages. arXiv admin note: text overlap with arXiv:1611.03891, arXiv:1609.07307

Journal-ref: Chapter in Foundations of Mathematics and Physics One Century After Hilbert, pp 377-415, 2018

Subjects: Mathematical Physics (math-ph) ; General Relativity and Quantum Cosmology (gr-qc) ; High Energy Physics - Theory (hep-th) ; Differential Geometry (math.DG)

[31] arXiv:1702.02781 [cn-pdf, pdf, other]

Title: Darboux solutions of non-abelian quantum Painlevé II equation in terms of quasideterminants Show Chinese title

Title: 非交换量子Painlevé II方程的Darboux解关于准行列式的表示

Irfan Mahmood

Comments: arXiv admin note: text overlap with arXiv:1402.3540, arXiv:1201.0900

Subjects: Mathematical Physics (math-ph)

[32] arXiv:1702.02858 [cn-pdf, pdf, other]

Title: The fifth-order partial differential equation for the description of the α+β Fermi-Pasta-Ulam model Show Chinese title

Title: 五阶偏微分方程用于描述 α+β 费米-帕斯塔-乌拉姆模型

Nikolay A. Kudryashov, Alexandr K. Volkov

Journal-ref: Communications in Nonlinear Science and Numerical Simulation, 42, 491-501 (2017)

Subjects: Mathematical Physics (math-ph) ; Chaotic Dynamics (nlin.CD)

[33] arXiv:1702.02887 [cn-pdf, pdf, other]

Title: Dyson models under renormalization and in weak fields Show Chinese title

Title: 重整化下的Dyson模型和弱场中的情况

R. Bissacot, E.O. Endo, A.C.D. van Enter, B. Kimura, A. Le Ny, W.M. Ruszel

Comments: 15 pages. arXiv admin note: text overlap with arXiv:1603.05409

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

[34] arXiv:1702.02894 [cn-pdf, pdf, other]

Title: Large deviation principles for hypersingular Riesz gases Show Chinese title

Title: 高奇异 Riesz 气体的大偏差原理

Douglas P. Hardin, Thomas Leblé, Edward B. Saff, Sylvia Serfaty

Comments: 33p

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

[35] arXiv:1702.02989 [cn-pdf, pdf, other]

Title: Incompressible fluid problems on embedded surfaces: Modeling and variational formulations Show Chinese title

Title: 不可压缩流体在嵌入曲面上的问题：建模与变分形式

Thomas Jankuhn, Maxim A. Olshanskii, Arnold Reusken

Journal-ref: Interfaces and Free Boundaries 20 (2018), 353-378

Subjects: Mathematical Physics (math-ph) ; Dynamical Systems (math.DS) ; Fluid Dynamics (physics.flu-dyn)

[36] arXiv:1702.03029 [cn-pdf, pdf, other]

Title: To the Issue of Justification of the Absolutely Continuous Spectrum Eigenfunctions Asymptotics in the Problem of Three One-Dimensional Short-Range Quantum Particles with Repulsion Show Chinese title

Title: 关于三个一维短程排斥量子粒子问题中绝对连续谱本征函数渐近行为合理性的议题

A.M. Budylin, S.B. Levin

Subjects: Mathematical Physics (math-ph)

[37] arXiv:1702.03078 [cn-pdf, pdf, other]

Title: New Determinant Expressions of the Multi-indexed Orthogonal Polynomials in Discrete Quantum Mechanics Show Chinese title

Title: 离散量子力学中多指标正交多项式的新的行列式表达式

Satoru Odake

Comments: 43 pages. Typos corrected, reference numbering changed, journal data updated. To appear in PTEP

Journal-ref: Prog. Theor. Exp. Phys. 2017 (2017) 053A01 (36pp)

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

[38] arXiv:1702.03111 [cn-pdf, pdf, other]

Title: Conormal distributions in the Shubin calculus of pseudodifferential operators Show Chinese title

Title: 在伪微分算子的舒宾演算中的法向分布

Marco Cappiello, René Schulz, Patrik Wahlberg

Comments: 23 pages

Subjects: Mathematical Physics (math-ph) ; Analysis of PDEs (math.AP)

[39] arXiv:1702.03261 [cn-pdf, pdf, other]

Title: Boundary correlations in planar LERW and UST Show Chinese title

Title: 平面LERW和UST的边界关联

Alex Karrila, Kalle Kytölä, Eveliina Peltola

Comments: 72 pages, 46 figures; Final version, accepted for publication in Comm. Math. Phys

Journal-ref: Comm. Math. Phys., 376(3):2065-2145, 2020

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

[40] arXiv:1702.03376 [cn-pdf, pdf, other]

Title: From non-symmetric particle systems to non-linear PDEs on fractals Show Chinese title

Title: 从非对称粒子系统到分形上的非线性偏微分方程

Joe P. Chen, Michael Hinz, Alexander Teplyaev

Comments: v2: 10 pages, 1 figure. To appear in the proceedings for the 2016 conference "Stochastic Partial Differential Equations & Related Fields" in honor of Michael R\"ockner's 60th birthday, Bielefeld

Subjects: Mathematical Physics (math-ph) ; Statistical Mechanics (cond-mat.stat-mech) ; Analysis of PDEs (math.AP) ; Probability (math.PR)

[41] arXiv:1702.03512 [cn-pdf, pdf, other]

Title: Stochastic averaging principle for spatial Markov evolutions in the continuum Show Chinese title

Title: 连续体中空间马尔可夫演化的随机平均原理

Martin Friesen, Yuri Kondratiev

Journal-ref: J. Stat. Phys, 2018, vol. 171, p. 842 - 877

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

[42] arXiv:1702.03545 [cn-pdf, pdf, other]

Title: Categorial subsystem independence as morphism co-possibility Show Chinese title

Title: 范畴子系统独立性作为态射共可能性

Zalán Gyenis, Miklós Rédei

Comments: To be published in the special issue of Communications in Mathematical Physics devoted to Rudolf Haag

Subjects: Mathematical Physics (math-ph)

[43] arXiv:1702.03565 [cn-pdf, pdf, other]

Title: Homotopy Algebras of Differential (Super)forms in Three and Four Dimensions Show Chinese title

Title: 三维和四维微分（超）形式的同伦代数

Martin Rocek, Anton M. Zeitlin

Comments: v2: 22 pages, minor revision

Journal-ref: Letters in Mathematical Physics 108(12) (2018) 2669-2694

Subjects: Mathematical Physics (math-ph) ; High Energy Physics - Theory (hep-th) ; Quantum Algebra (math.QA)

[44] arXiv:1702.03574 [cn-pdf, pdf, other]

Title: Hyperbolic Anosov C-systems. Exponential Decay of Correlation Functions Show Chinese title

Title: 双曲Anosov C系统。 相关函数的指数衰减

George Savvidy, Konstantin Savvidy

Comments: 19 pages, 2 figures

Subjects: Mathematical Physics (math-ph) ; High Energy Physics - Theory (hep-th) ; Chaotic Dynamics (nlin.CD)

[45] arXiv:1702.03651 [cn-pdf, pdf, other]

Title: Well-posedness of the Two-dimensional Nonlinear Schrödinger Equation with Concentrated Nonlinearity Show Chinese title

Title: 二维非线性薛定谔方程具有集中非线性的适定性

Raffaele Carlone, Michele Correggi, Lorenzo Tentarelli

Comments: 39 pages, pdfLaTex. Final version to appear in Ann. I. H. Poincar\'e - AN

Journal-ref: Ann. Inst. H. Poincar\'e Anal. Non Lin\'eaire 36 (2019), no. 1, 257-294

Subjects: Mathematical Physics (math-ph) ; Analysis of PDEs (math.AP) ; Quantum Physics (quant-ph)

[46] arXiv:1702.03685 [cn-pdf, pdf, other]

Title: Convergence rates for nonequilibrium Langevin dynamics Show Chinese title

Title: 非平衡朗之万动力学的收敛速率

Alessandra Iacobucci, Stefano Olla, Gabriel Stoltz

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

[47] arXiv:1702.03811 [cn-pdf, pdf, other]

Title: Behavior of eigenvalues in a region of broken-PT symmetry Show Chinese title

Title: 非破缺PT对称性区域内的特征值行为

Carl M. Bender, Nima Hassanpour, Daniel W. Hook, S. P. Klevansky, Christoph Sünderhauf, Zichao Wen

Comments: 14 pages, 19 figures

Journal-ref: Phys. Rev. A 95, 052113 (2017)

Subjects: Mathematical Physics (math-ph) ; High Energy Physics - Theory (hep-th) ; Quantum Physics (quant-ph)

[48] arXiv:1702.03820 [cn-pdf, pdf, other]

Title: Operator algebra in the space of images Show Chinese title

Title: 图像空间中的算子代数

E. Celeghini

Comments: 12 pages, Contribution to the 8th International Workshop DICE2016, Sept.12-16, 2016, Castiglioncello (Italy). Submitted to J. Phys: Conf. Series

Subjects: Mathematical Physics (math-ph)

[49] arXiv:1702.03839 [cn-pdf, pdf, other]

Title: Analytic structure of eigenvalues of coupled quantum systems Show Chinese title

Title: 耦合量子系统的特征值解析结构

Carl M. Bender, Alexander Felski, Nima Hassanpour, S. P. Klevansky, Alireza Beygi

Comments: 11 pages, 5 figures

Journal-ref: Phys. Scr. 92 (2017) 015201

Subjects: Mathematical Physics (math-ph) ; High Energy Physics - Theory (hep-th) ; Quantum Physics (quant-ph)

[50] arXiv:1702.03910 [cn-pdf, pdf, other]

Title: Reflected Brownian motions in the KPZ universality class Show Chinese title

Title: KPZ大学类中的反射布朗运动

Thomas Weiss, Patrik Ferrari, Herbert Spohn

Comments: arXiv admin note: text overlap with arXiv:1502.01468

Journal-ref: SpringerBriefs in Mathematical Physics, Volume 18, 2017

Subjects: Mathematical Physics (math-ph)