Mathematical Physics

Authors and titles for June 2023

[1] arXiv:2306.00178 [cn-pdf, pdf, other]

Title: Six lectures on Geometric Quantization Show Chinese title

Title: 六次关于几何量子化的讲座

Konstantin Wernli

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

[2] arXiv:2306.00268 [cn-pdf, pdf, other]

Title: Topological Classification of Insulators: I. Non-interacting Spectrally-Gapped One-Dimensional Systems Show Chinese title

Title: 绝缘体的拓扑分类：I. 非相互作用带隙一维系统

Jui-Hui Chung, Jacob Shapiro

Comments: 46 pages

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

[3] arXiv:2306.00371 [cn-pdf, pdf, other]

Title: Gauge theory for mixed $p$-spin glasses Show Chinese title

Title: 关于混合$p$-自旋玻璃的规范理论

C. Itoi, Y. Sakamoto

Comments: 13 pages

Journal-ref: J. Phys. A: Math. Theor. 56, 255002 (2023)

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

[4] arXiv:2306.00508 [cn-pdf, pdf, html, other]

Title: On stability of solitons for 3D Maxwell-Lorentz equations with spinning particle Show Chinese title

Title: 关于三维Maxwell-Lorentz方程中具有自旋粒子的孤立子稳定性问题

Alexander Komech, Elena Kopylova

Comments: 25 pages

Subjects: Mathematical Physics (math-ph)

[5] arXiv:2306.00513 [cn-pdf, pdf, other]

Title: Anderson localized states for the quasi-periodic nonlinear wave equation on $\mathbb Z^d$ Show Chinese title

Title: 安德森局域态对于拟周期非线性波动方程在$\mathbb Z^d$上的应用

Yunfeng Shi, W.-M. Wang

Comments: 37 pages

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

[6] arXiv:2306.00525 [cn-pdf, pdf, other]

Title: Expanding the Fourier transform of the scaled circular Jacobi $β$ ensemble density Show Chinese title

Title: 扩展尺度圆 Jacobi 族密度的傅里叶变换 $β$

Peter J. Forrester, Bo-Jian Shen

Comments: 30 pages

Subjects: Mathematical Physics (math-ph)

[7] arXiv:2306.00806 [cn-pdf, pdf, html, other]

Title: A sparse approximation of the Lieb functional with moment constraints Show Chinese title

Title: 具有矩约束的Lieb泛函的稀疏逼近

Virginie Ehrlacher, Luca Nenna

Subjects: Mathematical Physics (math-ph) ; Optimization and Control (math.OC) ; Spectral Theory (math.SP)

[8] arXiv:2306.00896 [cn-pdf, pdf, other]

Title: Boundary conditions and universal finite-size scaling for the hierarchical $|\varphi|^4$ model in dimensions 4 and higher Show Chinese title

Title: 边界条件和高维（4维及以上）层次$|\varphi|^4$模型的普适有限尺寸标度特性

Emmanuel Michta, Jiwoon Park, Gordon Slade

Comments: 105 pages. Editorial improvements throughout v3

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

[9] arXiv:2306.00993 [cn-pdf, pdf, other]

Title: Polynomial Hamiltonians for quantum Garnier systems in two variables Show Chinese title

Title: 二变量量子 Garnier 系统的多项式 Hamiltonian

Yuichi Ueno

Comments: 13 pages

Subjects: Mathematical Physics (math-ph)

[10] arXiv:2306.01501 [cn-pdf, pdf, html, other]

Title: A Note on BKP for the Kontsevich Matrix Model with Arbitrary Potential Show Chinese title

Title: 关于Kontsevich矩阵模型任意势的BKP注记

Gaëtan Borot, Raimar Wulkenhaar

Journal-ref: SIGMA 20 (2024), 050, 16 pages

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

[11] arXiv:2306.01716 [cn-pdf, pdf, other]

Title: Thermal effects connected to crystallization dynamics: a lattice Boltzmann study Show Chinese title

Title: 与结晶动力学相关的热效应：格子玻尔兹曼研究

Q. Tan, S.A. Hosseini, A. Seidel-Morgenstern, D. Thévenin, H. Lorenz

Comments: arXiv admin note: text overlap with arXiv:2206.02145

Subjects: Mathematical Physics (math-ph)

[12] arXiv:2306.02108 [cn-pdf, pdf, other]

Title: Random matrix theory and the loss surfaces of neural networks Show Chinese title

Title: 随机矩阵理论与神经网络的损失曲面

Nicholas P Baskerville

Comments: 320 pages, PhD thesis

Subjects: Mathematical Physics (math-ph) ; Machine Learning (cs.LG) ; Probability (math.PR)

[13] arXiv:2306.02350 [cn-pdf, pdf, html, other]

Title: Semiclassical resonances for matrix Schrödinger operators with vanishing interactions at crossings of classical trajectories Show Chinese title

Title: 半经典共振对于矩阵型薛定谔算子，在经典轨迹交叉处相互作用消失的情况

Vincent Louatron

Comments: 21 pages, 5 figures

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

[14] arXiv:2306.02363 [cn-pdf, pdf, html, other]

Title: Inviscid Water-Waves and interface modeling Show Chinese title

Title: 无粘性水波与界面建模

Emmanuel Dormy, Christophe Lacave

Comments: Accepted for publication in Quarterly of Applied Mathematics

Subjects: Mathematical Physics (math-ph) ; Analysis of PDEs (math.AP) ; Numerical Analysis (math.NA) ; Fluid Dynamics (physics.flu-dyn)

[15] arXiv:2306.02386 [cn-pdf, pdf, other]

Title: Multiplication of distributions in a linear gain and loss system Show Chinese title

Title: 线性增益和损耗系统中的分布乘法

Fabio Bagarello

Comments: in press in ZAMP

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

[16] arXiv:2306.02412 [cn-pdf, pdf, html, other]

Title: Generalised Brègman relative entropies: a brief introduction Show Chinese title

Title: 广义Brègman相对熵：简要介绍

Ryszard Paweł Kostecki

Comments: arXiv admin note: text overlap with arXiv:1710.01837 (author's note: this overlap will be removed in the upcoming v5 of arXiv:1710.01837 and the upcoming v4 of this paper); v3: minor change (grant numbers)

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

[17] arXiv:2306.02484 [cn-pdf, pdf, other]

Title: Post-Lie algebras of derivations and regularity structures Show Chinese title

Title: 导子的后李代数与正则性结构

Jean-David Jacques, Lorenzo Zambotti

Comments: Revised version

Subjects: Mathematical Physics (math-ph) ; Analysis of PDEs (math.AP) ; Probability (math.PR) ; Rings and Algebras (math.RA)

[18] arXiv:2306.02714 [cn-pdf, pdf, other]

Title: Superspace realizations of the Bannai-Ito algebra Show Chinese title

Title: Bannai-Ito代数的超空间实现

N. Crampe, H. De Bie, P. Iliev, L. Vinet

Journal-ref: Lett. Math. Phys. 113 (2023), no. 5, article number 108

Subjects: Mathematical Physics (math-ph)

[19] arXiv:2306.02745 [cn-pdf, pdf, html, other]

Title: Convergence of operators with deficiency indices $(k,k)$ and of their self-adjoint extensions Show Chinese title

Title: 具有亏指数$(k,k)$和其自伴扩张的算子的收敛性

August Bjerg

Comments: Revised version accepted for publication in Annales Henri Poincar\'e. Results and conclusions unchanged. 12 pages, 0 figures

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

[20] arXiv:2306.02772 [cn-pdf, pdf, other]

Title: Low energy spectrum of the XXZ model coupled to a magnetic field Show Chinese title

Title: XXZ 模型在磁场中的低能谱

Simone Del Vecchio, Jürg Fröhlich, Alessandro Pizzo, Alessio Ranallo

Subjects: Mathematical Physics (math-ph)

[21] arXiv:2306.02860 [cn-pdf, pdf, html, other]

Title: Decay of the Green's function of the fractional Anderson model and connection to long-range SAW Show Chinese title

Title: 分数Anderson模型的Green函数衰减及其与长程自避行走的联系

Margherita Disertori, Roberto Maturana Escobar, Constanza Rojas-Molina

Comments: 26 pages, to appear in Journal of Statistical Physics

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

[22] arXiv:2306.02909 [cn-pdf, pdf, html, other]

Title: Degenerate flat bands in twisted bilayer graphene Show Chinese title

Title: 扭转双层石墨烯中的退化平带

Simon Becker, Tristan Humbert, Maciej Zworski

Comments: Generalized and streamlined results to flat bands with arbitrary allowed multiplicities including the structure of Bloch function zeros, their spectral subspace representations, and the Chern numbers of Bloch bundles

Subjects: Mathematical Physics (math-ph) ; Mesoscale and Nanoscale Physics (cond-mat.mes-hall) ; Materials Science (cond-mat.mtrl-sci) ; Strongly Correlated Electrons (cond-mat.str-el) ; Analysis of PDEs (math.AP)

[23] arXiv:2306.03012 [cn-pdf, pdf, other]

Title: Stability analysis of nonlinear localized modes in the coupled Gross-Pitaevskii equations with PT-symmetric Scarf-II potential Show Chinese title

Title: 具有 PT 对称 Scarf-II 势的耦合 Gross-Pitaevskii 方程中非线性局域模的稳定性分析

Jia-Rui Zhang, Xia Wang

Comments: 10 pages, 6 figures

Subjects: Mathematical Physics (math-ph)

[24] arXiv:2306.03037 [cn-pdf, pdf, other]

Title: Reconstruction of shear force in Atomic Force Microscopy from measured displacement of the cone-shaped cantilever tip Show Chinese title

Title: 基于锥形悬臂梁尖端测得位移的原子力显微镜剪切力重建

Alemdar Hasanov, Onur Baysal, Alexandre Kawano

Comments: 21 pages, 5 figures

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

[25] arXiv:2306.03300 [cn-pdf, pdf, other]

Title: Quantum Boltzmann dynamics and bosonized particle-hole interactions in fermion gases Show Chinese title

Title: 费米气体中的量子玻尔兹曼动力学和玻色化的粒子-空穴相互作用

Esteban Cárdenas, Thomas Chen

Comments: 81 pages, 0 figures. New result in Theorem 3 is now included

Subjects: Mathematical Physics (math-ph)

[26] arXiv:2306.03489 [cn-pdf, pdf, other]

Title: Extended Series of Correlation Inequalities in Quantum Systems Show Chinese title

Title: 量子系统中的相关不等式扩展序列

Chigak Itoi, Hiroto Ishimori, Kota Sato, Yoshinori Sakamoto

Comments: 17 pages, 7 figures

Journal-ref: J. Phys. Soc. Jpn. 92, 074001 (2023)

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

[27] arXiv:2306.03936 [cn-pdf, pdf, html, other]

Title: Counting eigenvalues of Schrödinger operators using the landscape function Show Chinese title

Title: 利用景观函数计算薛定谔算子的特征值

Sven Bachmann, Richard Froese, Severin Schraven

Comments: To appear in Journal of Spectral Theory

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

[28] arXiv:2306.03963 [cn-pdf, pdf, other]

Title: Beyond Superoscillation: General Theory of Approximation with Bandlimited Functions Show Chinese title

Title: 超越超振荡：带限函数逼近的一般理论

Tathagata Karmakar, Andrew N. Jordan

Comments: 10 pages, 4 figures

Subjects: Mathematical Physics (math-ph)

[29] arXiv:2306.04258 [cn-pdf, pdf, other]

Title: Bifurcations of Riemann Ellipsoids Show Chinese title

Title: 黎曼椭球的分支

Fahimeh Mokhtari, Jesús F. Palacián, Patricia Yanguas

Subjects: Mathematical Physics (math-ph)

[30] arXiv:2306.04259 [cn-pdf, pdf, other]

Title: The U(1) BF functional measure and the Dirac distribution on the space of quantum fields Show Chinese title

Title: U(1) BF 泛函测度和量子场空间上的狄拉克分布

Frank Thuillier

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

[31] arXiv:2306.04405 [cn-pdf, pdf, other]

Title: Symplectic and variational formulations of compressible and incompressible Navier-Stokes equation Show Chinese title

Title: 辛与变分形式化的可压缩和不可压缩Navier-Stokes方程

Géry de Saxcé

Comments: 18 pages

Subjects: Mathematical Physics (math-ph)

[32] arXiv:2306.04435 [cn-pdf, pdf, other]

Title: Stellar dynamics within the virial theorem: asymptotic small-parameters time expansion of the Ermakov-Lewis-Leach invariant as an infinite series of conservation laws Show Chinese title

Title: 在virial定理框架下的恒星动力学：Ermakov-Lewis-Leach不变量的渐近小参数时间展开作为无穷守恒律序列

Orchidea Maria Lecian, Brunello Tirozzi

Comments: 18 pages; zero figures

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

[33] arXiv:2306.04908 [cn-pdf, pdf, html, other]

Title: Eigenstates and spectral projection for quantized baker's map Show Chinese title

Title: 本征态和量子化贝克映射的谱投影

Laura Shou

Comments: 47 pages, 8 figures

Journal-ref: Commun. Math. Phys. 406, 271 (2025)

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

[34] arXiv:2306.05026 [cn-pdf, pdf, other]

Title: An introduction to the analysis of gradients systems Show Chinese title

Title: 梯度系统的分析简介

Alexander Mielke

Subjects: Mathematical Physics (math-ph)

[35] arXiv:2306.05105 [cn-pdf, pdf, other]

Title: Approximate Analytical Solution using Power Series Method for the Propagation of Blast Waves in a Rotational Axisymmetric non-ideal Gas Show Chinese title

Title: 利用幂级数法求爆炸波在旋转轴对称非理想气体中传播的近似解析解

Nandita, Rajan Arora

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

[36] arXiv:2306.05800 [cn-pdf, pdf, other]

Title: A New Non-Linear Density Fluctuations Stochastic Partial Differential Equation With a Singular Coefficient of Relevance to Polymer Dynamics and Rheology: Discussions, Proofs of Solution Existence, Uniqueness, and a Conjecture Show Chinese title

Title: 关于与聚合物动力学和流变学相关的具有奇异系数的新非线性密度涨落随机偏微分方程：讨论、解的存在性和唯一性证明以及一个猜想

Ludovic Goudenège, Liviu Iulian Palade

Subjects: Mathematical Physics (math-ph)

[37] arXiv:2306.05824 [cn-pdf, pdf, other]

Title: BCS Critical Temperature on Half-Spaces Show Chinese title

Title: 半空间上的BCS临界温度

Barbara Roos, Robert Seiringer

Comments: 64 pages, 5 figures; published version

Journal-ref: Archive Rat. Mech. Anal. 249, art. no. 20 (2025)

Subjects: Mathematical Physics (math-ph) ; Superconductivity (cond-mat.supr-con)

[38] arXiv:2306.06332 [cn-pdf, pdf, other]

Title: Asymptotic entangled states from the dissipative interaction of two charged fields Show Chinese title

Title: 由两个带电场的耗散相互作用产生的渐近纠缠态

R. Cartas-Fuentevilla, O. Cruz-Limón, C. Ramírez-Romero

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

[39] arXiv:2306.06725 [cn-pdf, pdf, other]

Title: A New S-Function Method searching for First Order Differential Integrals: Faster, Broader, Better Show Chinese title

Title: 一种寻找一阶微分积分的新S函数方法：更快、更广、更好

L.G.S. Duarte, L.A.C.P. da Mota, I.S.S. Nascimento

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

[40] arXiv:2306.06787 [cn-pdf, pdf, other]

Title: An inclusive curvature-like framework for describing dissipation: metriplectic 4-bracket dynamics Show Chinese title

Title: 一种描述耗散的包容性曲率框架：度量泊松括号动力学

Philip J. Morrison, Michael H. Updike

Subjects: Mathematical Physics (math-ph) ; Differential Geometry (math.DG) ; Classical Physics (physics.class-ph) ; Fluid Dynamics (physics.flu-dyn) ; Plasma Physics (physics.plasm-ph)

[41] arXiv:2306.06859 [cn-pdf, pdf, other]

Title: Counting spanning trees of (1, N)-periodic graphs Show Chinese title

Title: 计算(1, N)-周期图的生成树数目

Jingyuan Zhang, Fuliang Lu, Xian'an Jin

Subjects: Mathematical Physics (math-ph)

[42] arXiv:2306.06958 [cn-pdf, pdf, html, other]

Title: Continuum Limit of Spin Dynamics on Hexagonal Lattice Show Chinese title

Title: 六角格子上自旋动力学的连续极限

Mengjia Bai, Jingrun Chen, Zhiwei Sun, Yun Wang

Comments: 28 pages, 4 figures

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

[43] arXiv:2306.07028 [cn-pdf, pdf, other]

Title: Reduction by symmetries of contact mechanical systems on Lie groups Show Chinese title

Title: 李群上接触力学系统的对称约化

Alexandre Anahory Simoes, Leonardo Colombo, Manuel de León, Juan Carlos Marrero, David Martín de Diego, Edith Padrón

Comments: 38 pages

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

[44] arXiv:2306.07073 [cn-pdf, pdf, html, other]

Title: Painlevé transcendents in the defocusing mKdV equation with non-zero boundary conditions Show Chinese title

Title: 非零边界条件下的聚焦mKdV方程中的Painlevé超越函数

Zhaoyu Wang, Taiyang Xu, Engui Fan

Comments: 38 pages, 11 figures. Minor corrections according to anonymous referees' comments

Subjects: Mathematical Physics (math-ph)

[45] arXiv:2306.07080 [cn-pdf, pdf, html, other]

Title: Stationary completeness: the $N$-body short-range case Show Chinese title

Title: 定态完备性：$N$-体短程情况

Erik Skibsted

Comments: arXiv admin note: text overlap with arXiv:2205.15028

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

[46] arXiv:2306.07110 [cn-pdf, pdf, html, other]

Title: Invariant measures on p-adic Lie groups: the p-adic quaternion algebra and the Haar integral on the p-adic rotation groups Show Chinese title

Title: p进Lie群上的不变测度：p进四元数代数和p进旋转群上的哈尔积分

Paolo Aniello, Sonia L'Innocente, Stefano Mancini, Vincenzo Parisi, Ilaria Svampa, Andreas Winter

Comments: 49 pages, minor changes

Journal-ref: Lett. Math. Phys. 114, 78 (2024)

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

[47] arXiv:2306.07247 [cn-pdf, pdf, other]

Title: Transport Phenomena in Excitable Systems: Existence of Bounded Solutions and Absorbing Sets Show Chinese title

Title: 可激发系统中的输运现象：有界解和吸收集的存在性

Monica De Angelis

Journal-ref: Mathematics. 2022; 10(12):2041

Subjects: Mathematical Physics (math-ph)

[48] arXiv:2306.07378 [cn-pdf, pdf, other]

Title: Isomonodromic and isospectral deformations of meromorphic connections: the $\mathfrak{sl}_2(\mathbb{C})$ case Show Chinese title

Title: 具有正则奇点的亚纯联络的等单值化及等谱形变：$\mathfrak{sl}_2(\mathbb{C})$情形

Olivier Marchal, Mohamad Alameddine

Comments: 40 pages + Appendices. This is the accepted version in Nonlinearity

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

[49] arXiv:2306.08449 [cn-pdf, pdf, other]

Title: Where charged sectors are localizable: a viewpoint from covariant cohomology Show Chinese title

Title: 带电扇区的局域性：来自协变上同调的观点

Fabio Ciolli, Giuseppe Ruzzi, Ezio Vasselli

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

[50] arXiv:2306.08910 [cn-pdf, pdf, other]

Title: Schrödinger operators with multiple Aharonov-Bohm fluxes Show Chinese title

Title: 具有多个Aharonov-Bohm通量的Schrödinger算子

Michele Correggi, Davide Fermi

Comments: 28 pages, pdfLaTeX, minor changes

Journal-ref: Ann. Henri Poincar\'e (2024)

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