Mathematical Physics

Authors and titles for July 2018

[1] arXiv:1807.00085 [cn-pdf, pdf, other]

Title: Hurwitz numbers and integrable hierarchy of Volterra type Show Chinese title

Title: Hurwitz数与Volterra型可积层次系

Kanehisa Takasaki

Comments: 12 pages, no figure; (v2) typos in eqs. (14), (15) etc. are corrected; (v3) typos are corrected, final version for publication

Journal-ref: J. Phys. A: Math. Theor. 51 (2018), 43LT01 (9 pages)

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

[2] arXiv:1807.00233 [cn-pdf, pdf, other]

Title: Weyl sums and the Lyapunov exponent for the skew-shift Schrödinger cocycle Show Chinese title

Title: 魏尔和与斜移薛定谔cocycle的李雅普诺夫指数

Rui Han, Marius Lemm, Wilhelm Schlag

Comments: 33 pages

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

[3] arXiv:1807.00302 [cn-pdf, pdf, other]

Title: Separation of variables for the quantum SL(3,C) spin magnet: eigenfunctions of Sklyanin B-operator Show Chinese title

Title: 变量分离法在量子SL(3,C)自旋磁体中的应用：Sklyanin B-算符的本征函数

S. E. Derkachov, P. A. Valinevich

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

[4] arXiv:1807.00426 [cn-pdf, pdf, other]

Title: Stationary states of the cubic conformal flow on $\mathbb{S}^3$ Show Chinese title

Title: $\mathbb{S}^3$ 上立方共形式流的平稳状态

P. Bizon, D. Hunik-Kostyra, D.E. Pelinovsky

Comments: 35 pages, 3 figures

Subjects: Mathematical Physics (math-ph) ; Analysis of PDEs (math.AP) ; Dynamical Systems (math.DS) ; Pattern Formation and Solitons (nlin.PS) ; Exactly Solvable and Integrable Systems (nlin.SI)

[5] arXiv:1807.00450 [cn-pdf, pdf, other]

Title: Nonlinear $q$-Stokes phenomena for $q$-Painlevé I Show Chinese title

Title: 非线性$q$-Stokes 现象对于$q$-Painlevé I

Nalini Joshi, Christopher Lustri, Steven Luu

Comments: 31 pages, 29 figures

Subjects: Mathematical Physics (math-ph) ; Exactly Solvable and Integrable Systems (nlin.SI)

[6] arXiv:1807.00538 [cn-pdf, pdf, other]

Title: Convergence of Levy-Lieb to Thomas-Fermi density functional Show Chinese title

Title: 勒维-利布到托马斯-费米密度泛函的收敛性

Nina Gottschling, Phan Thành Nam

Comments: Revised version to appear on Calculus of Variations and PDE

Subjects: Mathematical Physics (math-ph)

[7] arXiv:1807.00608 [cn-pdf, pdf, other]

Title: Rigorous asymptotics of a KdV soliton gas Show Chinese title

Title: 严格的KdV孤子气体的渐近性

Manuela Girotti, Tamara Grava, Robert Jenkins, Ken D. T. -R. McLaughlin

Comments: 42 pages, 7 figures. To appear in Comm. Math. Physics

Subjects: Mathematical Physics (math-ph) ; Analysis of PDEs (math.AP) ; Pattern Formation and Solitons (nlin.PS) ; Exactly Solvable and Integrable Systems (nlin.SI)

[8] arXiv:1807.00739 [cn-pdf, pdf, other]

Title: Energy contribution of a point interacting impurity in a Fermi gas Show Chinese title

Title: 点相互作用杂质在费米气体中的能量贡献

Thomas Moser, Robert Seiringer

Comments: LaTeX, 39 pages

Journal-ref: Ann. Henri Poincare 20, 1325-1365 (2019)

Subjects: Mathematical Physics (math-ph) ; Quantum Gases (cond-mat.quant-gas)

[9] arXiv:1807.00750 [cn-pdf, pdf, other]

Title: Crystal flex bases and the RUM spectrum Show Chinese title

Title: 晶体柔韧基和RUM谱

Ghada Badri, Derek Kitson, Stephen C. Power

Comments: 21 pages

Subjects: Mathematical Physics (math-ph) ; Metric Geometry (math.MG)

[10] arXiv:1807.00811 [cn-pdf, pdf, other]

Title: $N^{3/4}$ law in the cubic lattice Show Chinese title

Title: $N^{3/4}$定律在立方晶格中

Edoardo Mainini, Paolo Piovano, Bernd Schmidt, Ulisse Stefanelli

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

[11] arXiv:1807.00873 [cn-pdf, pdf, other]

Title: A Geometric Approach to the Concept of Extensivity in Thermodynamics Show Chinese title

Title: 热力学中广延性概念的几何方法

Miguel Ángel García-Ariza

Journal-ref: SIGMA 15 (2019), 015, 14 pages

Subjects: Mathematical Physics (math-ph)

[12] arXiv:1807.01031 [cn-pdf, pdf, other]

Title: Geometry of nonadiabatic quantum hydrodynamics Show Chinese title

Title: 非绝热量子流体力学的几何学

Michael S. Foskett, Darryl D. Holm, Cesare Tronci

Comments: 41 pages, no figures

Subjects: Mathematical Physics (math-ph) ; Chaotic Dynamics (nlin.CD) ; Chemical Physics (physics.chem-ph) ; Quantum Physics (quant-ph)

[13] arXiv:1807.01173 [cn-pdf, pdf, other]

Title: Determinantal polynomial wave functions induced by random matrices Show Chinese title

Title: 由随机矩阵引起的行列式多项式波函数

Anthony Mays, Anita K. Ponsaing, David M. Paganin

Comments: 26 pages, 21 figures. The video data referred to in the text will be provided as Supplemental Material to the journal. Changed title and made some changes to the introduction according to referees comments. Also changed colour-scheme for grey-scale printing

Journal-ref: Phys. Rev. A 98, 063813 (2018)

Subjects: Mathematical Physics (math-ph) ; Optics (physics.optics)

[14] arXiv:1807.01403 [cn-pdf, pdf, other]

Title: Classification of bounded travelling wave solutions for the Dullin-Gottwald-Holm equation Show Chinese title

Title: Dullin-Gottwald-Holm方程的有界行波解的分类

Priscila Leal da Silva

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

[15] arXiv:1807.01523 [cn-pdf, pdf, other]

Title: Impurity-bound excitons in one and two dimensions Show Chinese title

Title: 一维和二维中的杂质束缚激子

Horia Cornean, Hynek Kovarik, Thomas G. Pederesen

Subjects: Mathematical Physics (math-ph) ; Other Condensed Matter (cond-mat.other) ; Spectral Theory (math.SP)

[16] arXiv:1807.01539 [cn-pdf, pdf, other]

Title: Dirac's Method for the Two-Dimensional Damped Harmonic Oscillator in the Extended Phase Space Show Chinese title

Title: 狄拉克方法在扩展相空间中的二维阻尼谐振子问题

Laure Gouba

Comments: 12 pages, Open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0)

Journal-ref: Mathematics 2018, 6, 180 (This article belongs to the Special Issue Time and Time Dependence in Quantum Mechanics)

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

[17] arXiv:1807.01558 [cn-pdf, pdf, html, other]

Title: In search of higher Bochner theorem Show Chinese title

Title: 寻找更强的博赫纳定理

Emil Horozov, Boris Shapiro, Milos Tater

Comments: Substantially revised and shortened version. Content of Sections 4 and 5 simplified. Computational formulas in Appendix ii corrected. To appear in JAT

Subjects: Mathematical Physics (math-ph) ; High Energy Physics - Theory (hep-th) ; Classical Analysis and ODEs (math.CA)

[18] arXiv:1807.01581 [cn-pdf, pdf, other]

Title: A new class of entropic information measures, formal group theory and information geometry Show Chinese title

Title: 一个新的熵信息度量类、形式群论与信息几何

Miguel A. Rodríguez, Álvaro Romaniega, Piergiulio Tempesta

Comments: 17 pages

Journal-ref: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (2019)

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

[19] arXiv:1807.01758 [cn-pdf, pdf, other]

Title: Path integral for quantum Mabuchi K-energy Show Chinese title

Title: 量子Mabuchi K-能量的路径积分

H. Lacoin, R. Rhodes, V. Vargas

Comments: 41 pages

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

[20] arXiv:1807.01933 [cn-pdf, pdf, other]

Title: Hydrogenoid spectra with central perturbations Show Chinese title

Title: 氢原子光谱与中心扰动

Matteo Gallone, Alessandro Michelangeli

Comments: 24 pages, 4 figures

Journal-ref: Reports on Mathematical Physics Volume 84, Issue 2, October 2019, Pages 215-243

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

[21] arXiv:1807.02212 [cn-pdf, pdf, other]

Title: On the exact variance of Tsallis entropy in a random pure state Show Chinese title

Title: 关于随机纯态中Tsallis熵的精确方差

Lu Wei

Journal-ref: Entropy 2019, 21, 539

Subjects: Mathematical Physics (math-ph)

[22] arXiv:1807.02259 [cn-pdf, pdf, other]

Title: BKP hierarchy and Pfaffian point process Show Chinese title

Title: BKP层次和Pfaffian点过程

Zhi-Lan Wang, Shi-Hao Li

Comments: 17 pages

Subjects: Mathematical Physics (math-ph) ; Exactly Solvable and Integrable Systems (nlin.SI)

[23] arXiv:1807.02496 [cn-pdf, pdf, other]

Title: Particle creation and energy conditions for a quantized scalar field in the presence of an external, time-dependent, Mamev-Trunov potential Show Chinese title

Title: 粒子产生和能量条件在存在外部时间依赖的马涅夫-特鲁诺夫势的量子标量场中的情况

Michael J. Pfenning

Comments: 43 pages, 2 figures, and 1 table

Journal-ref: Phys. Rev. D 98, 065004 (2018)

Subjects: Mathematical Physics (math-ph)

[24] arXiv:1807.02801 [cn-pdf, pdf, other]

Title: Concentrating solutions of the relativistic Vlasov-Maxwell system Show Chinese title

Title: 相对论Vlasov-Maxwell系统的集中解

Jonathan Ben-Artzi, Simone Calogero, Stephen Pankavich

Comments: 19 pages. arXiv admin note: text overlap with arXiv:1708.02307

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

[25] arXiv:1807.02888 [cn-pdf, pdf, other]

Title: Dynamics of finite dimensional non-hermitian systems with indefinite metric Show Chinese title

Title: 有限维非厄米系统具有不定度规的动力学

R. Ramirez, M. Reboiro

Journal-ref: J. Math. Phys. 60, 012106 (2019)

Subjects: Mathematical Physics (math-ph)

[26] arXiv:1807.02889 [cn-pdf, pdf, other]

Title: On the multilevel internal structure of the asymptotic distribution of resonances Show Chinese title

Title: 关于共振渐近分布的多级内部结构

Sergio Albeverio, Illya M. Karabash

Comments: 32 pages. Typos are corrected. Minor inaccuracies are corrected in condition (C1) of Section 4.2 and in Example 4.7. References are updated

Journal-ref: Journal of Differential Equations 267 (2019), no. 11, pp. 6171-6197

Subjects: Mathematical Physics (math-ph)

[27] arXiv:1807.02945 [cn-pdf, pdf, other]

Title: Lambert-W solves the noncommutative $Φ^4$-model Show Chinese title

Title: Lambert-W 求解非交换$Φ^4$模型

Erik Panzer (Oxford), Raimar Wulkenhaar (Münster)

Comments: LaTeX, 28 pages, 2 figures. v2: main conjecture in v1 is now a theorem

Subjects: Mathematical Physics (math-ph) ; High Energy Physics - Theory (hep-th) ; Complex Variables (math.CV)

[28] arXiv:1807.02982 [cn-pdf, pdf, other]

Title: Time-time covariance for last passage percolation with generic initial profile Show Chinese title

Title: 时间-时间协方差对于具有通用初始轮廓的最后通过渗流

Patrik L. Ferrari, Alessandra Occelli (Bonn University)

Comments: 33 pages; minor corrections

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

[29] arXiv:1807.03062 [cn-pdf, pdf, other]

Title: Multi-body spherically symmetric steady states of Newtonian self-gravitating elastic matter Show Chinese title

Title: 多体球对称的牛顿自引力弹性物质的定态

Artur Alho, Simone Calogero

Comments: 33 pages, 1 figure. v2 matches final published version

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

[30] arXiv:1807.03118 [cn-pdf, pdf, other]

Title: Quantum $f$-divergences in von Neumann algebras II. Maximal $f$-divergences Show Chinese title

Title: 量子$f$-散度在冯诺依曼代数 II。 最大$f$-散度

Fumio Hiai

Comments: 38 pages

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

[31] arXiv:1807.03251 [cn-pdf, pdf, other]

Title: Strongly Disordered Floquet Topological Systems Show Chinese title

Title: 强无序弗洛凯拓扑系统

Jacob Shapiro, Clément Tauber

Comments: 30 pages, 2 figures; v2: Fixed formatting issues, bibliography and acknowledgements

Subjects: Mathematical Physics (math-ph) ; Disordered Systems and Neural Networks (cond-mat.dis-nn) ; Mesoscale and Nanoscale Physics (cond-mat.mes-hall)

[32] arXiv:1807.03282 [cn-pdf, pdf, other]

Title: Ising model and the positive orthogonal Grassmannian Show Chinese title

Title: 伊辛模型和正正交格拉斯曼流形

Pavel Galashin, Pavlo Pylyavskyy

Comments: 48 pages, 8 figures; v2: added a section on Dub\'edat's bosonization identities and some other references; v3: minor exposition improvements; v4: a new proof added to Section 6.1. Final version, to appear in Duke Math Journal

Journal-ref: Duke Math. J. 169, no. 10 (2020), 1877-1942

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

[33] arXiv:1807.03377 [cn-pdf, pdf, other]

Title: Approximating tau-functions by theta-functions Show Chinese title

Title: 用雅可比函数逼近tau函数

Boris Dubrovin

Comments: 14 pages, 2 figures

Subjects: Mathematical Physics (math-ph) ; Algebraic Geometry (math.AG)

[34] arXiv:1807.03659 [cn-pdf, pdf, other]

Title: Domain-wall boundaries through non-diagonal twists in the six-vertex model Show Chinese title

Title: 通过六顶点模型中的非对角扭曲实现的域壁边界

W. Galleas

Comments: V1: 16 pages. V2: proof of Lemma 3.3 expanded, added remark 3.4. V3: extra results and discussions added, accepted for publication in JSTAT

Journal-ref: J. Stat. Mech. (2019) 023101

Subjects: Mathematical Physics (math-ph) ; Exactly Solvable and Integrable Systems (nlin.SI)

[35] arXiv:1807.03668 [cn-pdf, pdf, other]

Title: Routh reduction for first-order field theories Show Chinese title

Title: 一阶场论的Routh约化

S. Capriotti, E. García-Toraño Andrés

Comments: v2: a few references added, some typos corrected

Journal-ref: Lett. Math. Phys. (2018)

Subjects: Mathematical Physics (math-ph)

[36] arXiv:1807.03815 [cn-pdf, pdf, other]

Title: On the Fourier Analysis of Measures with Meyer Set Support Show Chinese title

Title: 关于具有Meyer集支撑的测度的傅里叶分析

Nicolae Strungaru

Comments: 29 pages

Journal-ref: J. Funct. Anal. 278, 108404, 30 pp, 2020

Subjects: Mathematical Physics (math-ph)

[37] arXiv:1807.04123 [cn-pdf, pdf, other]

Title: A Hamiltonian Mean-Field System for the Navier-Stokes Equation Show Chinese title

Title: 用于纳维-斯托克斯方程的哈密顿平均场系统

Simon Hochgerner

Journal-ref: Proc. R. Soc. A 474: 20180178 (2018)

Subjects: Mathematical Physics (math-ph)

[38] arXiv:1807.04254 [cn-pdf, pdf, other]

Title: On persistence of superoscillations for Schrödinger equation with time-dependent quadratic Hamiltonians Show Chinese title

Title: 关于时间依赖二次哈密顿量的薛定谔方程中超振荡的持续性

E. Hight, J. Palacio, T. Oraby, E. Suazo

Subjects: Mathematical Physics (math-ph)

[39] arXiv:1807.04506 [cn-pdf, pdf, other]

Title: Modular and holomorphic graph function from superstring amplitudes Show Chinese title

Title: 从超弦振幅得出的模形式和全纯图函数

Federico Zerbini

Comments: 26 Pages. Based on a talk given at the conference "Elliptic integrals, elliptic functions and modular forms in quantum field theory" held at DESY-Zeuthen in October 2017

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

[40] arXiv:1807.04593 [cn-pdf, pdf, other]

Title: The deformation quantization of the scalar fields Show Chinese title

Title: 标量场的形变量子化

Jie Wu, Mai Zhou

Subjects: Mathematical Physics (math-ph)

[41] arXiv:1807.04650 [cn-pdf, pdf, other]

Title: An Essay on the Completion of Quantum Theory. II: Unitary Time Evolution Show Chinese title

Title: 量子理论的完成论文。 II：幺正时间演化

Wolfgang Bertram (IECL)

Subjects: Mathematical Physics (math-ph) ; Differential Geometry (math.DG)

[42] arXiv:1807.04696 [cn-pdf, pdf, other]

Title: Equivalent elastica knots Show Chinese title

Title: 等效弹性结

Alain J. Brizard, David Pfefferlé

Comments: 16 pages, 21 figures

Subjects: Mathematical Physics (math-ph)

[43] arXiv:1807.04707 [cn-pdf, pdf, other]

Title: Scale and Möbius covariance in two-dimensional Haag-Kastler net Show Chinese title

Title: 二维Haag-Kastler网的尺度和莫比乌斯协变性

Vincenzo Morinelli, Yoh Tanimoto

Comments: 35 pages, 9 Tikz figures. See http://www.mat.uniroma2.it/~tanimoto/smc18.pdf for figures with better fading

Subjects: Mathematical Physics (math-ph) ; High Energy Physics - Theory (hep-th) ; Operator Algebras (math.OA)

[44] arXiv:1807.05152 [cn-pdf, pdf, other]

Title: Information theory with finite vector spaces Show Chinese title

Title: 有限向量空间的信息论

Juan Pablo Vigneaux

Comments: Presented in part at the Latin American Week on Coding and Information 2018 (Campinas, Brazil)

Journal-ref: IEEE Transactions on Information Theory, vol. 65, no. 9, pp. 5674-5687, Sept. 2019

Subjects: Mathematical Physics (math-ph) ; Information Theory (cs.IT) ; Probability (math.PR)

[45] arXiv:1807.05163 [cn-pdf, pdf, other]

Title: Rationally extended many-body truncated Calogero-Sutherland model Show Chinese title

Title: 有理扩展的多体截断Calogero-Sutherland模型

Rajesh Kumar Yadav, Avinash Khare, Nisha Kumari, Bhabani Prasad Mandal

Comments: 09 pages, LaTex, No fig

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

[46] arXiv:1807.05197 [cn-pdf, pdf, other]

Title: The open XXZ spin chain in the SoV framework: scalar product of separate states Show Chinese title

Title: 在SoV框架中的开放XXZ自旋链：分离态的标量积

N. Kitanine, J. M. Maillet, G. Niccoli, V. Terras

Comments: 55 pages

Subjects: Mathematical Physics (math-ph) ; Statistical Mechanics (cond-mat.stat-mech) ; High Energy Physics - Theory (hep-th) ; Exactly Solvable and Integrable Systems (nlin.SI)

[47] arXiv:1807.05299 [cn-pdf, pdf, other]

Title: Orthogonalization of fermion k-body operators and representability Show Chinese title

Title: 费米子k体算符的正交化和可表示性

Volker Bach, Robert Rauch

Journal-ref: Phys. Rev. A 99, 042109 (2019)

Subjects: Mathematical Physics (math-ph)

[48] arXiv:1807.05397 [cn-pdf, pdf, other]

Title: Wilson loops in SYM $N=4$ do not parametrize an orientable space Show Chinese title

Title: SYM $N=4$中的威尔逊环不参数化一个可定向空间

Susama Agarwala, Cameron Marcott

Subjects: Mathematical Physics (math-ph)

[49] arXiv:1807.05534 [cn-pdf, pdf, other]

Title: Towards general relativity through parametrized theories Show Chinese title

Title: 通过参数化理论走向广义相对论

Juan Margalef-Bentabol

Comments: Ph.D. thesis in mathematical physics. 182 pages. New versions to correct minor typos and add/update references

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

[50] arXiv:1807.05635 [cn-pdf, pdf, other]

Title: What is the Wigner function closest to a given square integrable function? Show Chinese title

Title: 给定一个平方可积函数，与之最接近的Wigner函数是什么？

J.S. Ben-Benjamin, L. Cohen, N.C. Dias, P. Loughlin, J.N. Prata

Comments: 50 pages, to appear in SIAM J. Math. Anal

Journal-ref: SIAM J. Math. Anal. 50-5 (2018), pp. 5161-5197

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