Mathematical Physics

Authors and titles for February 2025

[1] arXiv:2502.00447 [cn-pdf, pdf, html, other]

Title: Resolving the Problem of Multiple Control Parameters in Optimized Borel-Type Summation Show Chinese title

Title: 解决优化Borel型求和中的多控制参数问题

V.I. Yukalov, S. Gluzman

Comments: 27 pages

Journal-ref: J. Math. Chem. 63 (2025) 181--209

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

[2] arXiv:2502.00480 [cn-pdf, pdf, html, other]

Title: Non-self-adjoint Dirac operators on graphs Show Chinese title

Title: 非自伴图上的狄拉克算子

Markus Holzmann, Václav Růžek, Matěj Tušek

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

[3] arXiv:2502.00967 [cn-pdf, pdf, other]

Title: Physical quantities as a partially additive field Show Chinese title

Title: 物理量作为部分可加域

Georgy Alymov

Subjects: Mathematical Physics (math-ph) ; History and Philosophy of Physics (physics.hist-ph)

[4] arXiv:2502.01151 [cn-pdf, pdf, html, other]

Title: Vortices for the magnetic Ginzburg-Landau theory in curved space Show Chinese title

Title: 曲线空间中的磁Ginzburg-Landau理论的涡旋

Lei Cao, Yilu Xu, Shouxin Chen

Subjects: Mathematical Physics (math-ph)

[5] arXiv:2502.01426 [cn-pdf, pdf, html, other]

Title: Non-integrability of the $n$-body problem Show Chinese title

Title: $n$体问题的不可积性

Andrzej J. Maciejewski, Maria Przybylska, Thierry Combot

Comments: 33 pages, accepted for publication in in the Journal of the European Mathematical Society

Subjects: Mathematical Physics (math-ph)

[6] arXiv:2502.01791 [cn-pdf, pdf, html, other]

Title: On the fluxes induced by interacting fields in multiple scattering Show Chinese title

Title: 关于多重散射中相互作用场引起的通量

Andreas Kalogeropoulos, Nikolaos L. Tsitsas

Comments: 25 pages, 2 figures

Subjects: Mathematical Physics (math-ph)

[7] arXiv:2502.01831 [cn-pdf, pdf, html, other]

Title: Localization phenomena in the random XXZ spin chain Show Chinese title

Title: 随机XXZ自旋链中的局域化现象

Alexander Elgart, Abel Klein

Comments: 30 pages

Subjects: Mathematical Physics (math-ph)

[8] arXiv:2502.01983 [cn-pdf, pdf, other]

Title: Diagrammatics of information Show Chinese title

Title: 信息的图示法

Mee Seong Im, Clement Kam, Caden Pici

Comments: 33 pages, many figures

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

[9] arXiv:2502.02344 [cn-pdf, pdf, html, other]

Title: Sub-Power Law Decay of the Wave Packet Maximum in Disordered Anharmonic Chains Show Chinese title

Title: 无序非谐链中波包最大值的次幂律衰减

Wojciech De Roeck, Lydia Giacomin, Amirali Hannani, Francois Huveneers

Comments: 18 pages

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

[10] arXiv:2502.02355 [cn-pdf, pdf, other]

Title: Stochastic quantization of $λφ_2^4$- theory in 2-d Moyal space Show Chinese title

Title: 二维Moyal空间中$λφ_2^4$理论的随机量化

Chunqiu Song, Hendrik Weber, Raimar Wulkenhaar

Comments: 69 pages, 45 pictures, V2 has some minor corrections

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

[11] arXiv:2502.02566 [cn-pdf, pdf, html, other]

Title: Tail bounds for the Dyson series of random Schrödinger equations Show Chinese title

Title: 随机薛定谔方程的Dyson级数的尾部界

Adam Black, Reuben Drogin, Felipe Hernández

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

[12] arXiv:2502.02948 [cn-pdf, pdf, html, other]

Title: Three topological phases of the elliptic Ginibre ensembles with a point charge Show Chinese title

Title: 椭圆Ginibre系综的三个拓扑相与一个点电荷

Sung-Soo Byun, Eui Yoo

Comments: 33 pages, 6 figures

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

[13] arXiv:2502.03442 [cn-pdf, pdf, html, other]

Title: Fragile topology on solid grounds: a mathematical perspective Show Chinese title

Title: 脆弱拓扑在坚实基础上：数学视角

Simon Becker, Zhongkai Tao, Mengxuan Yang

Comments: v3: minor modifications. Comments are welcome

Subjects: Mathematical Physics (math-ph) ; Mesoscale and Nanoscale Physics (cond-mat.mes-hall) ; Strongly Correlated Electrons (cond-mat.str-el) ; Analysis of PDEs (math.AP) ; Algebraic Topology (math.AT)

[14] arXiv:2502.03590 [cn-pdf, pdf, html, other]

Title: Topological phases of non-interacting systems: A general approach based on states Show Chinese title

Title: 非相互作用系统的拓扑相：基于态的一般方法

Giuseppe De Nittis

Comments: 19 pages. Keywords:Configuration of states, $C^*$-bundles, topological phases, type A topological insulators, $K$-theory

Subjects: Mathematical Physics (math-ph) ; Mesoscale and Nanoscale Physics (cond-mat.mes-hall)

[15] arXiv:2502.03624 [cn-pdf, pdf, html, other]

Title: The Feynman-Kac formula in deformation quantization Show Chinese title

Title: 变形量子化中的费曼-卡公式

Jasel Berra-Montiel, Hugo Garcia-Compean, Alberto Molgado

Comments: 10 pages, no figures

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

[16] arXiv:2502.03768 [cn-pdf, pdf, html, other]

Title: Quantum integrable model for the quantum cohomology/K-theory of flag varieties and the double $β$-Grothendieck polynomials Show Chinese title

Title: 量子可积模型与旗 varieties 的量子上同调/K-理论、双$β$-Grothendieck 多项式相关

Jirui Guo

Comments: 31 pages, 2 figures;v2:typos corrected, some references and explanations added;v3:references added

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

[17] arXiv:2502.03894 [cn-pdf, pdf, other]

Title: On multipoint correlation functions in the Sinh-Gordon 1+1 dimensional quantum field theory Show Chinese title

Title: 关于1+1维Sinh-Gordon量子场论中的多点关联函数

Karol K. Kozlowski, Alex Simon

Comments: 70 pages

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

[18] arXiv:2502.04275 [cn-pdf, pdf, html, other]

Title: Algebras behind the bispectrality of the Wilson rational functions and their ${}_4φ_3$ limits Show Chinese title

Title: 关于威尔逊有理函数及其 ${}_4φ_3$ 极限的双谱性背后的代数结构

Nicolas Crampe, Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov

Subjects: Mathematical Physics (math-ph)

[19] arXiv:2502.04502 [cn-pdf, pdf, html, other]

Title: Two-dimensional topological quantum field theories of rank two over Dedekind domains Show Chinese title

Title: Dedekind环上的秩为二的二维拓扑量子场论

Fabian Espinoza, Mee Seong Im, Mikhail Khovanov

Comments: Minor sign typo in the first equation in (4.8), and the derived proceeding equations, have been fixed. 20 pages, 2 figures

Subjects: Mathematical Physics (math-ph) ; Category Theory (math.CT) ; Quantum Algebra (math.QA)

[20] arXiv:2502.04876 [cn-pdf, pdf, html, other]

Title: Ultraviolet Renormalization of Spin Boson Models I. Normal and 2-Nilpotent Interactions Show Chinese title

Title: 紫外重整化自旋玻色模型 I. 正常和 2-幂零相互作用

Benjamin Hinrichs, Jonas Lampart, Javier Valentín Martín

Comments: 18 pages

Subjects: Mathematical Physics (math-ph)

[21] arXiv:2502.04884 [cn-pdf, pdf, other]

Title: $Φ^4_3$ Theory from many-body quantum Gibbs states Show Chinese title

Title: $Φ^4_3$多体量子吉布斯态理论

Phan Thành Nam, Rongchan Zhu, Xiangchan Zhu

Comments: 118 pages, add results for the case that $\lambda^\eta\leq \varepsilon$ with small $\eta>0$

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

[22] arXiv:2502.04972 [cn-pdf, pdf, html, other]

Title: Functorial Einstein Algebras and the Malicious Singularity Show Chinese title

Title: 函子性爱因斯坦代数与恶意奇点

Michael Heller, Tomasz Miller, Leszek Pysiak, Wiesław Sasin

Comments: 14 pages

Subjects: Mathematical Physics (math-ph)

[23] arXiv:2502.05030 [cn-pdf, pdf, html, other]

Title: Scaling of highly excited Schrödinger-Poisson eigenstates and universality of their rotation curves Show Chinese title

Title: 高度激发的薛定谔-泊松本征态的标度及其旋转曲线的普遍性

Gaia Marangon, Antonio Ponno, Lorenzo Zanelli

Comments: 9 pages, 13 figures

Subjects: Mathematical Physics (math-ph)

[24] arXiv:2502.05137 [cn-pdf, pdf, html, other]

Title: Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators Show Chinese title

Title: 带有兼容标量积的非齐次哈密顿算子的李代数

Giorgio Gubbiotti, Francesco Oliveri, Emanuele Sgroi, Pierandrea Vergallo

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

[25] arXiv:2502.05371 [cn-pdf, pdf, html, other]

Title: Cumulant Structures of Entanglement Entropy Show Chinese title

Title: 纠缠熵的累积量结构

Youyi Huang, Lu Wei

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

[26] arXiv:2502.05543 [cn-pdf, pdf, html, other]

Title: On the diagonals of rational functions: the minimal number of variables (unabridged version) Show Chinese title

Title: 关于有理函数的对角线：变量的最小数量（未删节版）

S. Hassani, J-M. Maillard, N. Zenine

Comments: 50 pages

Subjects: Mathematical Physics (math-ph)

[27] arXiv:2502.05571 [cn-pdf, pdf, html, other]

Title: Laplacian Eigenfunction-Based Neural Operator for Learning Nonlinear Reaction-Diffusion Dynamics Show Chinese title

Title: 基于拉普拉斯特征函数的神经算子用于学习非线性反应-扩散动力学

Jindong Wang, Wenrui Hao

Subjects: Mathematical Physics (math-ph)

[28] arXiv:2502.05721 [cn-pdf, pdf, html, other]

Title: Principal SUSY and nonSUSY W-algebras and their Zhu algebras Show Chinese title

Title: 主SUSY和非SUSY W-代数及其Zhu代数

Naoki Genra, Arim Song, Uhi Rinn Suh

Comments: 30pages

Subjects: Mathematical Physics (math-ph)

[29] arXiv:2502.06384 [cn-pdf, pdf, html, other]

Title: Polynomially Superintegrable Hamiltonians Separating in Cartesian Coordinates Show Chinese title

Title: 多项式超可积哈密顿量在笛卡尔坐标中可分离

Ian Marquette, Anthony Parr

Comments: 43 pages

Subjects: Mathematical Physics (math-ph)

[30] arXiv:2502.07142 [cn-pdf, pdf, html, other]

Title: Moments of characteristic polynomials for classical $β$ ensembles Show Chinese title

Title: 特征多项式的矩对于经典$β$系统

Bo-Jian Shen, Peter J. Forrester

Comments: 29 pages. Reference [20] was missing in the previous version, which is now included

Subjects: Mathematical Physics (math-ph)

[31] arXiv:2502.07546 [cn-pdf, pdf, html, other]

Title: Exact Schwinger functions for a class of bounded interactions in $d\geq 2$ Show Chinese title

Title: $d\geq 2$的一类有界相互作用的精确施温格函数

Wojciech Dybalski

Comments: 14 pages. To appear in Commun. Math. Phys

Subjects: Mathematical Physics (math-ph)

[32] arXiv:2502.08120 [cn-pdf, pdf, other]

Title: Higher-order continuum models for twisted bilayer graphene Show Chinese title

Title: 高阶连续体模型用于扭曲双层石墨烯

Solomon Quinn, Tianyu Kong, Mitchell Luskin, Alexander B. Watson

Subjects: Mathematical Physics (math-ph)

[33] arXiv:2502.08641 [cn-pdf, pdf, html, other]

Title: Constructing optimal Wannier functions via potential theory: isolated single band for matrix models Show Chinese title

Title: 通过势论构造最优Wannier函数：矩阵模型的孤立单带

Hanwen Zhang

Subjects: Mathematical Physics (math-ph) ; Numerical Analysis (math.NA) ; Computational Physics (physics.comp-ph)

[34] arXiv:2502.09040 [cn-pdf, pdf, html, other]

Title: On Zero Energy States in SUSY Quantum Mechanics on Manifolds Show Chinese title

Title: 关于流形上超对称量子力学中的零能态

Ivan G. Avramidi

Comments: 32 pages

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

[35] arXiv:2502.09160 [cn-pdf, pdf, html, other]

Title: A Jensen inequality for partial traces and applications to partially semiclassical limits Show Chinese title

Title: 关于部分迹的Jensen不等式及其在部分半经典极限中的应用

Eric A. Carlen, Rupert L. Frank, Simon Larson

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

[36] arXiv:2502.09262 [cn-pdf, pdf, other]

Title: Exact physical quantities of the $D_2^{(2)}$ spin chain model with generic open boundary conditions Show Chinese title

Title: 具有通用开放边界条件的$D_2^{(2)}$自旋链模型的精确物理量

Pengcheng Lu, Junpeng Cao, Wen-Li Yang, Ian Marquette, Yao-Zhong Zhang

Comments: 23 pages, 7 figures, 2 tables

Journal-ref: JHEP05(2025)137

Subjects: Mathematical Physics (math-ph)

[37] arXiv:2502.09302 [cn-pdf, pdf, html, other]

Title: The bilinear fermionic form for KP and BKP hierarchies Show Chinese title

Title: KP 和 BKP 层次的双线性费米形式

Shuai Guo, Ce Ji, Chenglang Yang

Comments: 33 pages

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

[38] arXiv:2502.10234 [cn-pdf, pdf, html, other]

Title: On alleged solutions of the cubically nonlinear Schrödinger equation Show Chinese title

Title: 关于三次非线性薛定谔方程的所谓解

Hans Werner Schuermann, Valery Serov

Subjects: Mathematical Physics (math-ph)

[39] arXiv:2502.10468 [cn-pdf, pdf, html, other]

Title: Qusicryslals in Vernam cipher Show Chinese title

Title: 维纳姆密码中的半晶体

Maryna Nesterenko, Severin Posta

Comments: 7 pages, 1 figure. arXiv admin note: text overlap with arXiv:0710.0021

Subjects: Mathematical Physics (math-ph)

[40] arXiv:2502.11445 [cn-pdf, pdf, html, other]

Title: Semiclassical scar on tori in high dimension Show Chinese title

Title: 高维环面上的半经典疤痕

Huanhuan Yuan, Yong Li

Subjects: Mathematical Physics (math-ph)

[41] arXiv:2502.12760 [cn-pdf, pdf, other]

Title: Geometric Flavours of Quantum Field Theory on a Cauchy Hypersurface: Gaussian Analysis for the Hamiltonian Formalism and Applications to Cosmology Show Chinese title

Title: 柯西超曲面上量子场论的几何特征：哈密顿形式的高斯分析及其在宇宙学中的应用

David Martínez-Crespo

Comments: PhD thesis in Mathematical Physics, University of Zaragoza, 243 pages, 11 figures

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

[42] arXiv:2502.12934 [cn-pdf, pdf, html, other]

Title: The Canonical Forms of Matrix Product States in Infinite-Dimensional Hilbert Spaces Show Chinese title

Title: 无限维希尔伯特空间中矩阵乘积态的规范形式

Niilo Heikkinen

Comments: 26 pages LaTeX, 2 figures

Journal-ref: J. Phys. A: Math. Theor. 2025. 58 325201

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

[43] arXiv:2502.13365 [cn-pdf, pdf, html, other]

Title: Stäckel transform, coupling constant metamorphosis and algebraization of quasi-exactly solvable systems Show Chinese title

Title: 斯塔克尔变换、耦合常数变换和准精确可解系统的代数化

Siyu Li, Ian Marquette, Yao-Zhong Zhang

Subjects: Mathematical Physics (math-ph)

[44] arXiv:2502.13993 [cn-pdf, pdf, html, other]

Title: Noise-driven Synchronization of Vicsek Model in Mean Show Chinese title

Title: 噪声驱动的Vicsek模型平均同步

Wei Su, Yongguang Yu, Ge Chen

Subjects: Mathematical Physics (math-ph) ; Dynamical Systems (math.DS) ; Optimization and Control (math.OC) ; Adaptation and Self-Organizing Systems (nlin.AO)

[45] arXiv:2502.14117 [cn-pdf, pdf, html, other]

Title: Regularized interacting scalar quantum field theories Show Chinese title

Title: 正则化的相互作用标量量子场理论

Nicola Pinamonti

Comments: 35 pages

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

[46] arXiv:2502.14590 [cn-pdf, pdf, html, other]

Title: Random walks with homotopic spatial inhomogeneities Show Chinese title

Title: 带有同伦空间非均匀性的随机游走

Ignacio S Gomez, Daniel Rocha de Jesus, Ronaldo Thibes

Subjects: Mathematical Physics (math-ph) ; Data Analysis, Statistics and Probability (physics.data-an)

[47] arXiv:2502.15159 [cn-pdf, pdf, html, other]

Title: Emergence of coupled Korteweg-de Vries equations in $m$ fields Show Chinese title

Title: $m$场中耦合Korteweg-de Vries方程的出现

Sharath Jose, Manas Kulkarni, Vishal Vasan

Comments: 16 pages

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

[48] arXiv:2502.15444 [cn-pdf, pdf, html, other]

Title: Bound on the Excess Charge of Generalized Thomas-Fermi-Weizsäcker Functionals Show Chinese title

Title: 广义托马斯-费米-魏茨萨克泛函的过量电荷界限

Rafael D. Benguria, Heinz Siedentop

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

[49] arXiv:2502.15471 [cn-pdf, pdf, html, other]

Title: Foundational aspects of spinor structures and exotic spinors Show Chinese title

Title: 自旋结构和奇异自旋的理论基础

J. M. Hoff da Silva

Comments: 25 pages, 1 figure

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

[50] arXiv:2502.15617 [cn-pdf, pdf, html, other]

Title: Emergence of the polydeterminant in QCD Show Chinese title

Title: QCD中多行列式的出现

Francesco Giacosa, Michał Zakrzewski, Shahriyar Jafarzade, Robert D. Pisarski

Comments: 18 pages, 1 figure. Accepted for publication in Letters in Mathematical Physics

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