Mathematical Physics

Authors and titles for September 2023

[26] arXiv:2309.04638 [cn-pdf, pdf, html, other]

Title: On the effective dynamics of Bose-Fermi mixtures Show Chinese title

Title: 关于玻色-费米混合物的有效动力学

Esteban Cárdenas, Joseph K. Miller, Nataša Pavlović

Comments: 54 pages, 1 figure

Journal-ref: Ars Inveniendi Analytica (2025), Paper No. 5, 54 pp

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

[27] arXiv:2309.04705 [cn-pdf, pdf, other]

Title: Some Applications of Surface Curvatures in Theoretical Physics Show Chinese title

Title: 曲面曲率在理论物理中的某些应用

Yisong Yang

Comments: 28 pages. An invited survey article to appear in Chinese Quarterly Journal of Mathematics

Journal-ref: Chinese Quarterly Journal of Mathematics 38 (2023) 221-253

Subjects: Mathematical Physics (math-ph)

[28] arXiv:2309.04897 [cn-pdf, pdf, other]

Title: Stationary measures for higher spin vertex models on a strip Show Chinese title

Title: 条带上高自旋顶点模型的平稳测度

Zongrui Yang

Comments: 27 pages

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

[29] arXiv:2309.04904 [cn-pdf, pdf, html, other]

Title: On real hyperelliptic solutions of focusing modified KdV equation Show Chinese title

Title: 关于聚焦修正KdV方程的实双曲解

Shigeki Matsutani

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

[30] arXiv:2309.04928 [cn-pdf, pdf, other]

Title: On polynomial symmetry algebras underlying superintegrable systems in Darboux spaces Show Chinese title

Title: 关于在达布空间中超级可积系统背后的多项式对称代数

Ian Marquette, Junze Zhang, Yao-Zhong Zhang

Journal-ref: Journal of Physics: Conference Series 2667 (1), 012046 (2023)

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

[31] arXiv:2309.05009 [cn-pdf, pdf, other]

Title: Dual of the Hopf Algebra Consisting of the Adjacency Matrices Show Chinese title

Title: 邻接矩阵构成的霍普夫代数的对偶

Zhou Mai

Subjects: Mathematical Physics (math-ph)

[32] arXiv:2309.05038 [cn-pdf, pdf, other]

Title: Approximate Lie symmetries and singular perturbation theory Show Chinese title

Title: 近似李对称性和奇异摄动理论

Alexander J. Dear, L. Mahadevan

Comments: 55 pages, 7 figures; references added, results sections re-ordered, SI created, material added on the Oseen equation, description of RG/E revised. Various formatting changes and minor phrasing changes. Findings & conclusions unchanged

Subjects: Mathematical Physics (math-ph)

[33] arXiv:2309.05118 [cn-pdf, pdf, other]

Title: Thermodynamic Limits of Electronic Systems Show Chinese title

Title: 电子系统的热力学极限

David Gontier, Jianfeng Lu, Christoph Ortner

Subjects: Mathematical Physics (math-ph) ; Materials Science (cond-mat.mtrl-sci)

[34] arXiv:2309.05151 [cn-pdf, pdf, html, other]

Title: Dynamics on a submanifold: intermediate formalism versus Hamiltonian reduction of Dirac bracket, and integrability Show Chinese title

Title: 子流形上的动力学：中间形式与狄拉克括号的哈密顿约化以及可积性

Alexei A. Deriglazov

Comments: 17 pages, typos corrected, notation improved, discussion expanded, matches with published version

Journal-ref: Eur. Phys. J. C (2024) 84:311

Subjects: Mathematical Physics (math-ph) ; Solar and Stellar Astrophysics (astro-ph.SR) ; General Relativity and Quantum Cosmology (gr-qc) ; High Energy Physics - Theory (hep-th) ; Exactly Solvable and Integrable Systems (nlin.SI)

[35] arXiv:2309.05348 [cn-pdf, pdf, other]

Title: Cosmic strings in a generalized linear formulation of gauge field theory Show Chinese title

Title: 广义线性规范场理论中的宇宙弦

Lei Cao, Shouxin Chen

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

[36] arXiv:2309.05394 [cn-pdf, pdf, html, other]

Title: Asymptotic Behaviour of Semigroup Traces and Schatten Classes of Resolvents Show Chinese title

Title: 半群迹的渐近行为与预解式的Schatten类

Bruno Iochum, Valentin A. Zagrebnov

Comments: 45 pages,

Journal-ref: Journal of Functional Analysis, Volume 289, Issue 10, 15 November 2025, 111101

Subjects: Mathematical Physics (math-ph)

[37] arXiv:2309.05506 [cn-pdf, pdf, other]

Title: Singularity theory of Weyl-point creation and annihilation Show Chinese title

Title: Weyl点产生与湮灭的奇点理论

György Frank, Gergő Pintér, András Pályi

Comments: 11 pages, 3 figures, 2 tables

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

[38] arXiv:2309.06044 [cn-pdf, pdf, html, other]

Title: Unusual isospectral factorizations of shape invariant Hamiltonians with Scarf II potential Show Chinese title

Title: 具有Scarf II势的形状不变哈密顿算符的非平凡等谱因子分解

Yiğit Can Acar, Lorena Acevedo, Şengül Kuru

Comments: 13 pages, 5 figures

Journal-ref: Phys. Scr. 98 (2023) 125229

Subjects: Mathematical Physics (math-ph)

[39] arXiv:2309.06108 [cn-pdf, pdf, other]

Title: Baxter Q-operators in Ruijsenaars-Sutherland hyperbolic systems: one- and two-particle cases Show Chinese title

Title: Ruijsenaars-Sutherland双曲系统的Baxter算子：一粒子和两粒子情形

N. Belousov, S. Derkachov, S. Kharchev, S. Khoroshkin

Journal-ref: Questions of quantum field theory and statistical physics. 28, Zap. Nauchn. Sem. POMI, 520 (2023), 50-123

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

[40] arXiv:2309.06318 [cn-pdf, pdf, html, other]

Title: Limited regularity of a specific electronic reduced density matrix for molecules Show Chinese title

Title: 分子特定电子约化密度矩阵的有限正则性

Thierry Jecko, Camille Noûs

Comments: 33 pages

Journal-ref: Adv. Theor. and Math. Physics 28 (2024) n. 5, pp. 1547-1595

Subjects: Mathematical Physics (math-ph)

[41] arXiv:2309.06346 [cn-pdf, pdf, other]

Title: Construction of envelopes of holomorphy and QFT Show Chinese title

Title: 全纯包的构造和量子场论

Ulrich Armbrüster

Comments: 21 pages, 4 figures

Subjects: Mathematical Physics (math-ph)

[42] arXiv:2309.06437 [cn-pdf, pdf, html, other]

Title: Non-constant ground configurations in the disordered ferromagnet Show Chinese title

Title: 无恒定基态构型的无序铁磁体

Michal Bassan, Shoni Gilboa, Ron Peled

Comments: Various minor revisions throughout. Added a figure to illustrate shift function construction

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

[43] arXiv:2309.06605 [cn-pdf, pdf, other]

Title: On the complex solution of the Schrödinger equation with exponential potentials Show Chinese title

Title: 关于具有指数势的薛定谔方程的复数解

Javier Garcia

Comments: 22 pages, 3 figures, 5 tables

Subjects: Mathematical Physics (math-ph)

[44] arXiv:2309.06733 [cn-pdf, pdf, html, other]

Title: Asymptotic expansion of the hard-to-soft edge transition Show Chinese title

Title: 硬边缘到软边缘过渡的渐近展开

Luming Yao, Lun Zhang

Comments: 28 pages, 5 figures

Subjects: Mathematical Physics (math-ph)

[45] arXiv:2309.07069 [cn-pdf, pdf, other]

Title: Local versus global subtleties of projective representations Show Chinese title

Title: 局部与整体投影表示的细微差别

J. M. Hoff da Silva, J. E. Rodrigues

Comments: 14 pages, to appear as a chapter in "Tribute to Ruben Aldrovandi", ed. by F. Caruso, J. G. Pereira, A. Santoro (Editora Livraria da F\'isica, S\~ao Paulo, 2024)

Subjects: Mathematical Physics (math-ph)

[46] arXiv:2309.07179 [cn-pdf, pdf, other]

Title: A uniqueness result for the inverse problem of identifying boundaries from weighted Radon transform Show Chinese title

Title: 关于从加权Radon变换识别边界的反问题的唯一性结果

D.S. Anikonov, S.G. Kazantsev, D.S. Konovalova

Comments: 10 pages, 1 figure

Subjects: Mathematical Physics (math-ph)

[47] arXiv:2309.07399 [cn-pdf, pdf, other]

Title: Geometric Derivation of the Finite $N$ Master Loop Equation Show Chinese title

Title: 几何推导有限$N$主环方程

Omar Abdelghani, Ron Nissim

Comments: 22 pages, authors plan to add additional sections

Subjects: Mathematical Physics (math-ph) ; High Energy Physics - Lattice (hep-lat) ; Probability (math.PR)

[48] arXiv:2309.07529 [cn-pdf, pdf, html, other]

Title: Central limit theorem for the random variables associated with the IDS of the Anderson model on lattice Show Chinese title

Title: 关于格点上安德森模型的 IDS 相关随机变量的中心极限定理

Dhriti Ranjan Dolai

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

[49] arXiv:2309.07549 [cn-pdf, pdf, html, other]

Title: A single layer representation of the scattered field for multiple scattering problems Show Chinese title

Title: 散射场的单层表示用于多散射问题

Didier Felbacq, Anthony Gourdin, Emmanuel Rousseau

Comments: 22 pages, 12 figures

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

[50] arXiv:2309.07775 [cn-pdf, pdf, other]

Title: Symplectic and Lagrangian Polar Duality; Applications to Quantum Information Geometry Show Chinese title

Title: 辛和拉格朗日极性对偶；在量子信息几何中的应用

Maurice de Gosson, Charlyne de Gosson

Subjects: Mathematical Physics (math-ph) ; Information Theory (cs.IT) ; Analysis of PDEs (math.AP) ; Symplectic Geometry (math.SG) ; Quantum Physics (quant-ph)