Mathematical Physics

Authors and titles for August 2021

[1] arXiv:2108.00042 [cn-pdf, pdf, other]

Title: Nonlinear first order PDEs reducible to autonomous form polynomially homogeneous in the derivatives Show Chinese title

Title: 非线性一阶偏微分方程，其导数在多项式齐次中可化为自治形式

Matteo Gorgone, Francesco Oliveri

Comments: 23 pages, no figures

Journal-ref: J. Geom. Phys. 113, 53--64 (2017)

Subjects: Mathematical Physics (math-ph)

[2] arXiv:2108.00189 [cn-pdf, pdf, other]

Title: On the decoupling problem of general quasilinear first order systems in two independent variables Show Chinese title

Title: 关于两个自变量的一般拟线性一阶系统的解耦问题

Matteo Gorgone, Francesco Oliveri, Maria Paola Speciale

Comments: 32 pages, no figures

Journal-ref: J. Math. Anal. Appl. 446, 276--298 (2017)

Subjects: Mathematical Physics (math-ph)

[3] arXiv:2108.00244 [cn-pdf, pdf, other]

Title: Mean field game equations with underlying jump-diffusion process Show Chinese title

Title: 平均场博弈方程与基于跳跃扩散过程

Olga Rozanova, Ilnar Manapov

Comments: 8 pages. arXiv admin note: substantial text overlap with arXiv:1911.09441

Subjects: Mathematical Physics (math-ph) ; Optimization and Control (math.OC) ; Probability (math.PR)

[4] arXiv:2108.00315 [cn-pdf, pdf, other]

Title: Exotic vortices and twisted holomorphic maps Show Chinese title

Title: 奇异涡旋和扭曲的全纯映射

Edward Walton

Comments: 20 pages, 1 figure

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

[5] arXiv:2108.00424 [cn-pdf, pdf, other]

Title: Representations of the Bondi-Metzner-Sachs group in three space-time dimensions in the Hilbert topology I. Determination of the representations Show Chinese title

Title: 三维时空中的Bondi-Metzner-Sachs群在Hilbert拓扑下的表示 I。 表示的确定

Evangelos Melas

Subjects: Mathematical Physics (math-ph)

[6] arXiv:2108.00495 [cn-pdf, pdf, other]

Title: Quantum controllability on graph-like manifolds through magnetic potentials and boundary conditions Show Chinese title

Title: 通过磁势和边界条件在类图流形上的量子可控性

Aitor Balmaseda, Davide Lonigro, Juan Manuel Pérez-Pardo

Comments: The results on this article arise from splitting in two the original version. This contains the controllability results on higher dimensional versions of Quantum Graphs with magnetic laplacians. The results about existence and stability of the solutions of the non-autonomous Schr\"odinger equation appear in arXiv:2306.10203. This new version is the one accepted for publication

Journal-ref: J. Phys. A: Math. Theor. 56 (2023), 325201

Subjects: Mathematical Physics (math-ph) ; Optimization and Control (math.OC) ; Quantum Physics (quant-ph)

[7] arXiv:2108.00499 [cn-pdf, pdf, other]

Title: Eigenfunctions of a discrete elliptic integrable particle model with hyperoctahedral symmetry Show Chinese title

Title: 离散椭圆可积粒子模型的特征函数具有超八面体对称性

Jan Felipe van Diejen, Tamás Görbe

Comments: 23 pages

Journal-ref: Commun. Math. Phys. 392 (2022) 279-305

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

[8] arXiv:2108.00540 [cn-pdf, pdf, other]

Title: One-matrix differential reformulation of two-matrix models Show Chinese title

Title: 一矩阵微分重新表述两矩阵模型

Joren Brunekreef, Luca Lionni, Johannes Thürigen

Comments: 25 pages, 2 figures

Subjects: Mathematical Physics (math-ph)

[9] arXiv:2108.01078 [cn-pdf, pdf, other]

Title: Approximately invariant solutions of creeping flow equations Show Chinese title

Title: 拟不变解的缓慢流动方程

Matteo Gorgone

Comments: 29 pages, no figures

Journal-ref: Int. J. Non-Linear. Mech. 105, 212--220 (2018)

Subjects: Mathematical Physics (math-ph)

[10] arXiv:2108.01230 [cn-pdf, pdf, other]

Title: Locally equivalent quasifree states and index theory Show Chinese title

Title: 局部等价的准自由态与指标理论

Chris Bourne

Comments: v3: Final version to appear in J. Phys A, 31 pages

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

[11] arXiv:2108.01328 [cn-pdf, pdf, other]

Title: Generators of Supersymmetric Classical $W$-algebras Show Chinese title

Title: 超对称经典$W$-代数的生成元

E. Ragoucy, A. Song, U.R. Suh

Subjects: Mathematical Physics (math-ph)

[12] arXiv:2108.01371 [cn-pdf, pdf, other]

Title: Coordinate-free exponentials of general multivector (MV) in Cl(p,q) algebras for p+q=3 Show Chinese title

Title: 无坐标指数的通用多向量（MV）在 Cl(p,q) 代数中的表达式，其中 p+q=3

A. Acus, A. Dargys

Comments: 13 pages

Subjects: Mathematical Physics (math-ph)

[13] arXiv:2108.01482 [cn-pdf, pdf, other]

Title: Koopman wavefunctions and classical states in hybrid quantum-classical dynamics Show Chinese title

Title: 库普曼波函数和混合量子经典动力学中的经典状态

François Gay-Balmaz, Cesare Tronci

Comments: Second version. Largely revised. Comments welcome!

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

[14] arXiv:2108.01588 [cn-pdf, pdf, html, other]

Title: On PPT Square Conjecture Show Chinese title

Title: 关于PPT平方猜想

Wladyslaw Adam Majewski

Comments: The last section is deeply revised. In particular, some mistakes are corrected. Comments are very welcome

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

[15] arXiv:2108.01779 [cn-pdf, pdf, other]

Title: Approximate Q-conditional symmetries of partial differential equations Show Chinese title

Title: 偏微分方程的近似 Q-条件对称性

Matteo Gorgone, Francesco Oliveri

Comments: 24 pages, 3 figures. arXiv admin note: substantial text overlap with arXiv:2105.05584, arXiv:2105.11534, arXiv:2108.01078

Journal-ref: Electronic Journal of Differential Equations 25, 133-147 (2018)

Subjects: Mathematical Physics (math-ph)

[16] arXiv:2108.01943 [cn-pdf, pdf, other]

Title: Classical and quantum controllability of a rotating asymmetric molecule Show Chinese title

Title: 经典和量子控制旋转的不对称分子

Eugenio Pozzoli

Comments: 23 pages, 6 figures

Subjects: Mathematical Physics (math-ph)

[17] arXiv:2108.01954 [cn-pdf, pdf, other]

Title: Tilings with nonflat squares: a characterization Show Chinese title

Title: 非平坦正方形的铺砌：一种表征

Manuel Friedrich, Manuel Seitz, Ulisse Stefanelli

Comments: 44 pages, 14 figures

Subjects: Mathematical Physics (math-ph)

[18] arXiv:2108.02169 [cn-pdf, pdf, other]

Title: A Consistent Approach to Approximate Lie Symmetries of Differential Equations Show Chinese title

Title: 一种一致的方法来近似微分方程的李对称性

Rosa Di Salvo, Matteo Gorgone, Francesco Oliveri

Comments: 32 pages, no figures. arXiv admin note: text overlap with arXiv:2108.01078

Journal-ref: Nonlinear Dyn. 91, 371--386 (2018)

Subjects: Mathematical Physics (math-ph)

[19] arXiv:2108.02171 [cn-pdf, pdf, other]

Title: Lie remarkable partial differential equations characterized by Lie algebras of point symmetries Show Chinese title

Title: 由点对称性李代数表征的显著偏微分方程

Matteo Gorgone, Francesco Oliveri

Comments: 22 pages

Journal-ref: J. Geom. Phys. 144, 314--323 (2019)

Subjects: Mathematical Physics (math-ph)

[20] arXiv:2108.02172 [cn-pdf, pdf, other]

Title: Generalized Hamiltonian for a two-mode fermionic model and asymptotic equilibria Show Chinese title

Title: 两模费米模型的广义哈密顿量和渐近平衡态

Rosa Di Salvo, Matteo Gorgone, Francesco Oliveri

Comments: 26 pages, 31 figures. arXiv admin note: text overlap with arXiv:1803.11234

Journal-ref: Physica A: Statistical Mechanics and its Applications 540, 123032 (2020)

Subjects: Mathematical Physics (math-ph)

[21] arXiv:2108.02329 [cn-pdf, pdf, other]

Title: Quadratic algebras as commutants of algebraic Hamiltonians in the enveloping algebra of Schrödinger algebras Show Chinese title

Title: 二次代数作为Schrödinger代数包络代数中代数哈密顿量的对易子

Rutwig Campoamor-Stursberg, Ian Marquette

Journal-ref: Annals of Physics. 437 168694 (2022)

Subjects: Mathematical Physics (math-ph)

[22] arXiv:2108.02629 [cn-pdf, pdf, other]

Title: The Dirac Sea for the Non-Separable Hilbert Spaces Show Chinese title

Title: 狄拉克海对于不可分希尔伯特空间

Alain Bachelot

Journal-ref: J. Math. Phys. 63, 022102 (2022)

Subjects: Mathematical Physics (math-ph)

[23] arXiv:2108.02659 [cn-pdf, pdf, other]

Title: Simultaneous occurrence of off-diagonal long-range order and infinite permutation cycles in systems of interacting atoms Show Chinese title

Title: 相互作用原子系统中非对角长程序与无限排列循环的同时出现

Andras Suto

Comments: 27 pages, minor changes

Subjects: Mathematical Physics (math-ph)

[24] arXiv:2108.02683 [cn-pdf, pdf, other]

Title: Noncommutative (A)dS and Minkowski spacetimes from quantum Lorentz subgroups Show Chinese title

Title: 非对易的 (A)dS 和闵可夫斯基时空来自量子洛伦兹子群

Angel Ballesteros, Ivan Gutierrez-Sagredo, Francisco J. Herranz

Comments: 30 pages; v2 matches version accepted by Class. Quant. Grav. Comments and references added. The (2+1)-dimensional case is described in new section 4.1

Journal-ref: Class. Quantum Grav. 39 (2022) 015018

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

[25] arXiv:2108.02769 [cn-pdf, pdf, other]

Title: Poisson quasi-Nijenhuis deformations of the canonical PN structure Show Chinese title

Title: 泊松拟尼詹努斯结构的规范PN结构的形变

Gregorio Falqui, Igor Mencattini, Marco Pedroni

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

[26] arXiv:2108.02865 [cn-pdf, pdf, other]

Title: Characteristic foliations of material evolution: from remodeling to aging Show Chinese title

Title: 材料演化的特征叶层：从重塑到老化

V. M. Jiménez, M. de León y M. Esptein

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

[27] arXiv:2108.02879 [cn-pdf, pdf, other]

Title: The most likely evolution of diffusing and vanishing particles: Schrodinger Bridges with unbalanced marginals Show Chinese title

Title: 扩散和消失粒子最可能的演化：边缘不平衡的薛定谔桥

Yongxin Chen, Tryphon T. Georgiou, Michele Pavon

Comments: 22 pages, 4 figures

Subjects: Mathematical Physics (math-ph) ; Systems and Control (eess.SY) ; Probability (math.PR)

[28] arXiv:2108.03112 [cn-pdf, pdf, other]

Title: Continua with non-local constitutive laws: exploitation of entropy inequality Show Chinese title

Title: 具有非局部本构定律的连续体：熵不等式的应用

Matteo Gorgone, Francesco Oliveri, Patrizia Rogolino

Comments: 29 pages, no figures

Journal-ref: Int. J. Non-Linear Mech. 126, 103573 (2020)

Subjects: Mathematical Physics (math-ph)

[29] arXiv:2108.03337 [cn-pdf, pdf, other]

Title: Normal Forms and Near-Axis Expansions for Beltrami Magnetic Fields Show Chinese title

Title: 正常形式和轴近似展开式对于贝特拉米磁场所述

Nathan Duignan, James D. Meiss

Comments: 31 pages, 5 figures

Journal-ref: Physics of Plasmas 28: 122501 (2021)

Subjects: Mathematical Physics (math-ph) ; Plasma Physics (physics.plasm-ph)

[30] arXiv:2108.03420 [cn-pdf, pdf, other]

Title: Résonances Semiclassiques Engendrées par des Croisements de Trajectoires Classiques Show Chinese title

Title: 半经典共振由经典轨迹交叉产生

Kenta Higuchi

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

[31] arXiv:2108.03445 [cn-pdf, pdf, other]

Title: Conformal and projective tractors from 2-frame bundles by the dressing field method Show Chinese title

Title: 由2-框架丛通过穿衣场方法得到的共形和射影拖拽器

Serge Lazzarini, Loïc Marsot

Comments: 24 pages ; v2 has added references

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

[32] arXiv:2108.03447 [cn-pdf, pdf, other]

Title: Tri-Hamiltonian Structure of the Ablowitz-Ladik Hierarchy Show Chinese title

Title: 三哈密顿结构 of Ablowitz-Ladik 层

Shuangxing Li, Si-Qi Liu, Haonan Qu, Youjin Zhang

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

[33] arXiv:2108.03501 [cn-pdf, pdf, other]

Title: Positive energy representations of gauge groups I: Localization Show Chinese title

Title: 规范群的正能表示 I：局域化

Bas Janssens, Karl-Hermann Neeb

Comments: 121 pages. Part I of a series of papers

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

[34] arXiv:2108.03589 [cn-pdf, pdf, other]

Title: Dynamical localization for polynomial long-range hopping random operators on $\mathbb{Z}^d$ Show Chinese title

Title: 多项式长程跃迁随机算子在$\mathbb{Z}^d$上的动力学局域化

Jian Wenwen, Sun Yingte

Comments: 12 pages

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

[35] arXiv:2108.03663 [cn-pdf, pdf, other]

Title: Lifshitz tails for random diagonal perturbations of Laurent matrices Show Chinese title

Title: Lifshitz 尾部对于 Laurent 矩阵的随机对角扰动

Martin Gebert, Constanza Rojas-Molina

Comments: 20 pages, typo in assumptions corrected

Subjects: Mathematical Physics (math-ph) ; Functional Analysis (math.FA) ; Probability (math.PR) ; Spectral Theory (math.SP)

[36] arXiv:2108.03924 [cn-pdf, pdf, other]

Title: Quantum Markov Chains on the Comb graphs: Ising model Show Chinese title

Title: 量子马尔可夫链在梳状图上的应用：伊辛模型

Farrukh Mukhamedov, Abdessatar Souissi, Tarek Hamdi

Journal-ref: Proc. Steklov Math. Inst. 313(2021), 178-192

Subjects: Mathematical Physics (math-ph)

[37] arXiv:2108.03964 [cn-pdf, pdf, other]

Title: Semi-classical eigenvalue estimates under magnetic steps (Former title: Hearing the shape of a magnetic edge in the semiclassical limit) Show Chinese title

Title: 半经典特征值估计在磁性台阶下（原标题：在半经典极限下听取磁性边缘的形状）

Wafaa Assaad, Bernard Helffer, Ayman Kachmar

Comments: 34 pages

Journal-ref: Analysis & PDE 17 (2024) 535-585

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

[38] arXiv:2108.04003 [cn-pdf, pdf, other]

Title: On the hydrodynamics of active matter models on a lattice Show Chinese title

Title: 关于格点上活性物质模型的流体力学

Clément Erignoux

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

[39] arXiv:2108.04339 [cn-pdf, pdf, other]

Title: Fractional operators and multi-integral representations for associated Legendre functions Show Chinese title

Title: 分数阶算子和关联勒让德函数的多重积分表示

Loyal Durand

Comments: 23 pages

Subjects: Mathematical Physics (math-ph)

[40] arXiv:2108.04407 [cn-pdf, pdf, other]

Title: Reynolds $n$-Lie algebras and NS-$n$-Lie algebras Show Chinese title

Title: 雷诺兹$n$-李代数和NS-$n$-李代数

Shuai Hou, Yunhe Sheng

Comments: 21 pages

Journal-ref: Comm Algebra 51 (2) (2023), 779-798

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

[41] arXiv:2108.04438 [cn-pdf, pdf, other]

Title: On Random Quantum Random Walks Show Chinese title

Title: 关于随机量子随机游走

Yuliy Baryshnikov

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

[42] arXiv:2108.04580 [cn-pdf, pdf, other]

Title: A 3D-Schroedinger operator under magnetic steps with semiclassical applications Show Chinese title

Title: 具有半经典应用的磁性阶梯下的三维薛定谔算子

Wafaa Assaad, Emanuela L. Giacomelli

Comments: 37 pages, 7 figures

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

[43] arXiv:2108.04608 [cn-pdf, pdf, other]

Title: Numerical simulation of hydraulic fracturing: a hybrid FEM based algorithm Show Chinese title

Title: 液压压裂的数值模拟：一种基于有限元法的混合算法

Michal Wrobel, Panos Papanastasiou, Daniel Peck

Journal-ref: International Journal for Numerical and Analytical Methods in Geomechanics, 2022

Subjects: Mathematical Physics (math-ph) ; Computational Engineering, Finance, and Science (cs.CE) ; Geophysics (physics.geo-ph)

[44] arXiv:2108.04708 [cn-pdf, pdf, other]

Title: Quantum graphs: self-adjoint, and yet exhibiting a nontrivial $\mathcal{PT}$-symmetry Show Chinese title

Title: 量子图：自伴的，但仍表现出非平凡的$\mathcal{PT}$-对称性

Pavel Exner, Milos Tater

Comments: 11 pages, four figures

Subjects: Mathematical Physics (math-ph) ; Mesoscale and Nanoscale Physics (cond-mat.mes-hall) ; Spectral Theory (math.SP) ; Quantum Physics (quant-ph)

[45] arXiv:2108.04767 [cn-pdf, pdf, other]

Title: Symmetries and Riemann Invariants Show Chinese title

Title: 对称性和黎曼不变量

A. Michel Grundland

Comments: Conference dedicated to the memory of Pavel Winternitz

Subjects: Mathematical Physics (math-ph)

[46] arXiv:2108.04895 [cn-pdf, pdf, other]

Title: Wave function for $GL(n,\mathbb{R})$ hyperbolic Sutherland model Show Chinese title

Title: 薛定谔方程对于$GL(n,\mathbb{R})$双曲Sutherland模型

S. Kharchev, S. Khoroshkin

Comments: 13 pages, Some comments and references are addeed

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

[47] arXiv:2108.04985 [cn-pdf, pdf, other]

Title: Short-time Fourier transform of the pointwise product of two functions with application to the nonlinear Schrödinger equation Show Chinese title

Title: 两个函数逐点乘积的短时傅里叶变换及其在非线性薛定谔方程中的应用

Nuno Costa Dias, João Nuno Prata, Nenad Teofanov

Comments: 37 pages, updated version

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

[48] arXiv:2108.05104 [cn-pdf, pdf, other]

Title: An algebraic approach to revealing magnetic structures of ground states in many-electron systems Show Chinese title

Title: 一种揭示多电子系统基态磁结构的代数方法

Tadahiro Miyao

Comments: Minor revision

Subjects: Mathematical Physics (math-ph)

[49] arXiv:2108.05105 [cn-pdf, pdf, other]

Title: Slit-strip Ising boundary conformal field theory 2: Scaling limits of fusion coefficients Show Chinese title

Title: 狭缝条带伊辛边界共形场理论 2：融合系数的标度极限

Taha Ameen, Kalle Kytölä, S.C. Park

Comments: 82 pages, 25 figures

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

[50] arXiv:2108.05180 [cn-pdf, pdf, other]

Title: Noncommutative reduction of the nonlinear Schrödinger equation on Lie groups Show Chinese title

Title: 非交换李群上的非线性薛定谔方程的约化

A. I. Breev, A. V. Shapovalov, D. M. Gitman

Comments: 20 pages

Subjects: Mathematical Physics (math-ph)