Mathematical Physics

Authors and titles for December 2022

[1] arXiv:2212.00144 [cn-pdf, pdf, other]

Title: Trial states for Bose gases: singular scalings and non-integrable potentials Show Chinese title

Title: 玻色气体的试验态：奇异标度和非可积势能

Alessandro Olgiati

Comments: Contribution to the Proceedings of the Intensive Period "INdAM Quantum Meetings (IQM22)" at Politecnico di Milano, March - May 2022

Subjects: Mathematical Physics (math-ph)

[2] arXiv:2212.00234 [cn-pdf, pdf, other]

Title: Existence and Uniqueness of Constraint Minimizers for the Planar Schrodinger-Poisson System with Logarithmic Potentials Show Chinese title

Title: 平面 Schrodinger-Poisson 系统与对数势能的约束极小值的存在性与唯一性

Yujin Guo, Wenning Liang, Yan Li

Comments: 36 pages, all comments are welcome

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

[3] arXiv:2212.00320 [cn-pdf, pdf, html, other]

Title: A universal formula for the $x-y$ swap in topological recursion Show Chinese title

Title: 拓扑递归中$x-y$交换的通用公式

Alexander Alexandrov, Boris Bychkov, Petr Dunin-Barkowski, Maxim Kazarian, Sergey Shadrin

Comments: 51 pages; various corrections and clarifications

Journal-ref: Journal of the European Mathematical Society, 10.4171/JEMS/1615, 2025

Subjects: Mathematical Physics (math-ph) ; High Energy Physics - Theory (hep-th) ; Algebraic Geometry (math.AG) ; Combinatorics (math.CO)

[4] arXiv:2212.00371 [cn-pdf, pdf, other]

Title: Natural differential invariants and equivalence of third order nonlinear differential operators Show Chinese title

Title: 自然微分不变量和三阶非线性微分算子的等价性

Valentin Lychagin, Valeriy Yumaguzhin

Comments: 14 pages

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

[5] arXiv:2212.00448 [cn-pdf, pdf, other]

Title: Density functional theory for homogeneous two dimensional materials with magnetic fields Show Chinese title

Title: 二维均匀材料在磁场下的密度泛函理论

David Gontier, Salma Lahbabi, Abdallah Maichine

Comments: 21 pages, 1 figure

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

[6] arXiv:2212.00451 [cn-pdf, pdf, other]

Title: The canonical BV Laplacian on half-densities Show Chinese title

Title: 半密度上的规范BV拉普拉斯算子

Alberto S. Cattaneo

Comments: 20 pages. Minor style improvements

Journal-ref: Rev. Math. Phys. 35, 2330003 (2023)

Subjects: Mathematical Physics (math-ph) ; High Energy Physics - Theory (hep-th) ; Differential Geometry (math.DG) ; Symplectic Geometry (math.SG)

[7] arXiv:2212.00525 [cn-pdf, pdf, other]

Title: The complex elliptic Ginibre ensemble at weak non-Hermiticity: bulk spacing distributions Show Chinese title

Title: 弱非厄米特性下的复椭圆Ginibre系综：体间距分布

Thomas Bothner, Alex Little

Comments: 39 pages, 3 figures. Version 2 corrects typos

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

[8] arXiv:2212.00583 [cn-pdf, pdf, other]

Title: Patterned Random Matrices: deviations from universality Show Chinese title

Title: 模式化的随机矩阵：偏离普遍性

Md. Sabir Ali, Shashi C. L. Srivastava

Journal-ref: J. Phys. A: Math. Theor. 55 495201(2022)

Subjects: Mathematical Physics (math-ph) ; Statistical Mechanics (cond-mat.stat-mech) ; Chaotic Dynamics (nlin.CD) ; Quantum Physics (quant-ph)

[9] arXiv:2212.00830 [cn-pdf, pdf, other]

Title: Morse theory for discrete magnetic operators and nodal count distribution for graphs Show Chinese title

Title: 莫尔斯理论用于离散磁性算子和图的节点计数分布

Lior Alon, Mark Goresky

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

[10] arXiv:2212.01045 [cn-pdf, pdf, other]

Title: Symmetric deformed 2D/3D Hurwitz-Kontsevich model and affine Yangian of gl(1) Show Chinese title

Title: 对称变形的二维/三维Hurwitz-Kontsevich模型与gl(1)的仿射Yangian

Na Wang, Ke Wu

Subjects: Mathematical Physics (math-ph)

[11] arXiv:2212.01359 [cn-pdf, pdf, other]

Title: Intersection theory of the complex quartic Kontsevich model Show Chinese title

Title: 复四次Kontsevich模型的交点理论

Finn Bjarne Kohl, Raimar Wulkenhaar

Comments: 22 pages, 4 figures

Subjects: Mathematical Physics (math-ph)

[12] arXiv:2212.01373 [cn-pdf, pdf, other]

Title: From fermionic spin-Calogero-Sutherland models to the Haldane-Shastry chain by freezing Show Chinese title

Title: 从费米子自旋-Calogero-Sutherland 模型到 Haldane-Shastry 链的冻结过程

Jules Lamers, Didina Serban

Comments: v1: 38 pages, 1 figure, 1 table. v2: various minor improvements; 43 pages, 2 figures, 1 table

Journal-ref: J. Phys. A: Math. Theor. 57 (2024) 235205

Subjects: Mathematical Physics (math-ph) ; Strongly Correlated Electrons (cond-mat.str-el) ; High Energy Physics - Theory (hep-th) ; Exactly Solvable and Integrable Systems (nlin.SI)

[13] arXiv:2212.01671 [cn-pdf, pdf, other]

Title: Heisenberg dynamics for non self-adjoint Hamiltonians: symmetries and derivations Show Chinese title

Title: 海森堡对于非自伴哈密顿量的动力学：对称性和导数

Fabio Bagarello

Comments: In press in Mathematical Physics, Analysis and Geometry

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

[14] arXiv:2212.01765 [cn-pdf, pdf, html, other]

Title: Soliton resolution and asymptotic stability of $N$-solitons to the Degasperis-Procesi equation on the line Show Chinese title

Title: 孤立子分解和线性Degasperis-Procesi方程中$N$孤立子的渐近稳定性

Xuan Zhou, Zhaoyu Wang, Engui Fan

Comments: 40 pages

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

[15] arXiv:2212.01952 [cn-pdf, pdf, other]

Title: An algebraic quantum field theoretic approach to toric code with gapped boundary Show Chinese title

Title: 一种代数量子场论方法研究具有能隙边界的环面码

Daniel Wallick

Comments: 38 pages, 12 figures. An error pointed out by Yoshiko Ogata in what is now section 6 has been corrected. In addition, this paper includes revisions in response to the referee's comments. These revisions include a new section 2 and an additional reference, as well as modifications to most of the sections in the original paper to make it more accessible to a wider audience

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

[16] arXiv:2212.02069 [cn-pdf, pdf, other]

Title: Bi-orthogonal eigen-spinors related to T-pseudo-Hermitian Pauli Hamiltonian : Time reversal and Clifford Algebra Show Chinese title

Title: 双正交本征旋量与T-伪厄米Pauli哈密顿量：时间反演与Clifford代数

Arindam Chakraborty

Comments: 11 pages

Subjects: Mathematical Physics (math-ph)

[17] arXiv:2212.02292 [cn-pdf, pdf, other]

Title: Characteristics of rogue waves in the scalar and vector nonlocal nonlinear Schrödinger equations Show Chinese title

Title: 标量和矢量非局部非线性薛定谔方程中的 rogue waves 的特征

Xiu-Bin Wang, Shou-Fu Tian

Comments: 21 pages,7 figures

Subjects: Mathematical Physics (math-ph)

[18] arXiv:2212.02411 [cn-pdf, pdf, other]

Title: Power law logarithmic bounds of moments for long range operators in arbitrary dimension Show Chinese title

Title: 幂律对数矩对于任意维数中长程算子的界限

Wencai Liu

Comments: Dedicated to Abel Klein on the occasion of his 75th birthday

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

[19] arXiv:2212.02546 [cn-pdf, pdf, other]

Title: Quantization of Lorentzian free BV theories: factorization algebra vs algebraic quantum field theory Show Chinese title

Title: 洛伦兹自由BV理论的量子化：因子化代数与代数量子场论对比

Marco Benini, Giorgio Musante, Alexander Schenkel

Comments: 31 pages - Accepted for publication in Letters in Mathematical Physics

Journal-ref: Lett Math Phys 114, 36 (2024)

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

[20] arXiv:2212.02956 [cn-pdf, pdf, html, other]

Title: Categories of Lagrangian Correspondences in Super Hilbert Spaces and Fermionic Functorial Field Theory Show Chinese title

Title: 超希尔伯特空间中的拉格朗日对应分类和费米子函子场论

Matthias Ludewig

Journal-ref: SIGMA 20 (2024), 036, 29 pages

Subjects: Mathematical Physics (math-ph) ; Differential Geometry (math.DG) ; K-Theory and Homology (math.KT)

[21] arXiv:2212.03628 [cn-pdf, pdf, other]

Title: De Rham - Witt KZ equations Show Chinese title

Title: 德勒姆-威特KZ方程

Vadim Schechtman, Alexander Varchenko

Comments: 20 pages

Subjects: Mathematical Physics (math-ph)

[22] arXiv:2212.03780 [cn-pdf, pdf, other]

Title: Multiple Landau level filling for a mean field limit of 2D fermions Show Chinese title

Title: 二维费米子平均场极限的多重朗道能级填充

Denis Périce

Journal-ref: Journal of Mathematical Physics volume: 65 number: 2 pages: 021902 year: 2024

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

[23] arXiv:2212.04093 [cn-pdf, pdf, other]

Title: Virtual Euler characteristics via topological recursion Show Chinese title

Title: 通过拓扑递归的虚拟欧拉特征

Leonid O. Chekhov

Comments: 13 pages, 1 figure, version 2 with extensive revision. Version 3: added description of moduli spaces of nonoriented surfaces

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

[24] arXiv:2212.04141 [cn-pdf, pdf, other]

Title: Cylindrical first order superintegrability with complex magnetic fields Show Chinese title

Title: 圆柱第一阶超可积性与复数磁场

Ondřej Kubů, Libor Šnobl

Comments: The following article has been submitted to the Journal of Mathematical Physics

Journal-ref: J. Math. Phys. 64, 062101 (2023)

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

[25] arXiv:2212.04256 [cn-pdf, pdf, other]

Title: A new formula for intersection numbers Show Chinese title

Title: 交数的新公式

Bertrand Eynard, Dimitrios Mitsios

Comments: 43 pages, 9 pages of bibliography/appendices, misprints corrected, notation simplified, results unchanged

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

[26] arXiv:2212.04289 [cn-pdf, pdf, other]

Title: Tunneling effect in two dimensions with vanishing magnetic fields Show Chinese title

Title: 二维空间中磁场消失时的隧穿效应

Khaled Abou Alfa (LMJL)

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

[27] arXiv:2212.04431 [cn-pdf, pdf, other]

Title: Upper bound for the ground state energy of a dilute Bose gas of hard spheres Show Chinese title

Title: 稀疏玻色气体的基态能量上限

Giulia Basti, Serena Cenatiempo, Alessandro Giuliani, Alessandro Olgiati, Giulio Pasqualetti, Benjamin Schlein

Comments: 15 pages, new version with improved rate

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

[28] arXiv:2212.04667 [cn-pdf, pdf, other]

Title: Higher Chern-Simons based on (2-)crossed modules Show Chinese title

Title: 基于(2-)交叉模的高阶Chern-Simons

Danhua Song, Mengyao Wu, Ke Wu, Jie Yang

Subjects: Mathematical Physics (math-ph)

[29] arXiv:2212.04833 [cn-pdf, pdf, other]

Title: Hamiltonian representation of isomonodromic deformations of general rational connections on $\mathfrak{gl}_2(\mathbb{C})$ Show Chinese title

Title: 哈密顿表示的任意有理联络在$\mathfrak{gl}_2(\mathbb{C})$上的单值变形

Olivier Marchal, Nicolas Orantin, Mohamad Alameddine

Comments: 86 pages + appendices. Published version in NonLinearity

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

[30] arXiv:2212.04946 [cn-pdf, pdf, other]

Title: A survey on deformations, cohomologies and homotopies of relative Rota-Baxter Lie algebras Show Chinese title

Title: 相对Rota-Baxter李代数的变形、上同调和同伦综述

Yunhe Sheng

Comments: arXiv admin note: substantial text overlap with arXiv:2008.06714

Journal-ref: Bulletin London Math. Soc. 54 (2022), 2045-2065

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

[31] arXiv:2212.05210 [cn-pdf, pdf, other]

Title: Double Dirac cones in band structures of periodic Schrödinger operators Show Chinese title

Title: 周期Schrödinger算子能带结构中的双狄拉克锥

Ying Cao, Yi Zhu

Journal-ref: Multiscale Modelling & Simulation 21(2023),1147-1169

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

[32] arXiv:2212.05338 [cn-pdf, pdf, other]

Title: Family of nonstandard integrable and superintegrable classical Hamiltonian systems in non-vanishing magnetic fields Show Chinese title

Title: 非零磁场中的非标准可积和超可积经典哈密顿系统族

Md Fazlul Hoque, Libor Šnobl

Comments: 18 pages

Journal-ref: Journal Of Physics A: Mathematical and Theoretical, 56 (2023) 165203

Subjects: Mathematical Physics (math-ph)

[33] arXiv:2212.05657 [cn-pdf, pdf, other]

Title: Extension of Realisations for Low-Dimensional Lie Algebras and Relative Differential Invariants Show Chinese title

Title: 低维李代数的实现扩展和相对微分不变量

Iryna Yehorchenko

Comments: 16 pages; based on a talk at the Group34 Symposium, Strasbourg, France, July 2022; revised version involves small corrections and some changes of notations

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

[34] arXiv:2212.05793 [cn-pdf, pdf, other]

Title: Some Mixed-Moments of Gaussian Elliptic Matrices and Ginibre Matrices Show Chinese title

Title: 一些高斯椭圆矩阵和吉尼布雷矩阵的混合矩

Théo Dessertaine

Comments: 26 pages, 5 figures

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

[35] arXiv:2212.05988 [cn-pdf, pdf, other]

Title: Avila's acceleration via zeros of determinants, and applications to Schrödinger cocycles Show Chinese title

Title: 阿维拉通过行列式零点的加速，以及在薛定谔cocycles中的应用

Rui Han, Wilhelm Schlag

Comments: 22 pages. Comments welcome

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

[36] arXiv:2212.06062 [cn-pdf, pdf, other]

Title: Fractional Dirac Equations from Polynomial Linearization: Solutions and Difficulties Show Chinese title

Title: 分数阶狄拉克方程的多项式线性化：解与困难

Erin T. Albertin, Zachary P. Bradshaw, Kaitlyn M. Kirt, Kathryn E. Long, Anthony Nguyen

Comments: 13 pages

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

[37] arXiv:2212.06234 [cn-pdf, pdf, other]

Title: Interface currents and corner states in magnetic quarter-plane systems Show Chinese title

Title: 磁性四分之一平面系统中的界面电流和角态

Danilo Polo Ojito

Comments: 34 pages, 1 figure. Keywords: Quarter-plane algebra, K-theory, interface currents, corner states

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

[38] arXiv:2212.06404 [cn-pdf, pdf, other]

Title: Solving the n-color ice model Show Chinese title

Title: 求解n色冰模型

Patrick Addona, Ethan Bockenhauer, Ben Brubaker, Michael Cauthorn, Cianan Conefrey-Shinozaki, David Donze, William Dudarov, Jessamyn Dukes, Andrew Hardt, Cindy Li, Jigang Li, Yanli Liu, Neelima Puthanveetil, Zain Qudsi, Jordan Simons, Joseph Sullivan, Autumn Young

Comments: 39 pages, 8 figures

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

[39] arXiv:2212.06450 [cn-pdf, pdf, html, other]

Title: Infinite-dimensional genetic and evolution algebras generated by Gibbs measures Show Chinese title

Title: 由吉布斯测度生成的无限维遗传和进化代数

Cristian F. Coletti, Lucas R. de Lima, Denis A. Luiz

Comments: 26 pages, 4 figures; typos corrected, references added

Journal-ref: J. Math. Phys. 66, 053302 (2025)

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

[40] arXiv:2212.06533 [cn-pdf, pdf, other]

Title: C*-algebraic results in the search for quantum gauge fields Show Chinese title

Title: C*-代数结果在寻找量子规范场中的应用

Teun D. H. van Nuland

Comments: PhD thesis. 149 pages, 3 figures

Subjects: Mathematical Physics (math-ph) ; High Energy Physics - Theory (hep-th) ; Functional Analysis (math.FA) ; Quantum Algebra (math.QA) ; Spectral Theory (math.SP)

[41] arXiv:2212.06661 [cn-pdf, pdf, other]

Title: Hierarchies in relative Picard-Lefschetz theory Show Chinese title

Title: 相对Picard-Lefschetz理论中的层次结构

Marko Berghoff, Erik Panzer

Comments: 85 pages, 27 figures

Journal-ref: Journal of Geometry and Physics, Volume 216 (2025) 105539

Subjects: Mathematical Physics (math-ph) ; High Energy Physics - Theory (hep-th) ; Algebraic Topology (math.AT)

[42] arXiv:2212.06900 [cn-pdf, pdf, other]

Title: Symmetry analysis and hidden variational structure of Westervelt's equation in nonlinear acoustics Show Chinese title

Title: 非线性声学中Westervelt方程的对称性分析和隐藏变分结构

Stephen C. Anco, Almudena P. Marquez, Tamara M. Garrido, Maria L. Gandarias

Comments: 23 pages; published version

Journal-ref: Commun. Nonlin. Sci. Numer. Simul. 124 (2023) 107315 (17 pages)

Subjects: Mathematical Physics (math-ph) ; Classical Physics (physics.class-ph)

[43] arXiv:2212.06941 [cn-pdf, pdf, other]

Title: A Metric Graph for Which the Number of Possible Endpoints of a Random Walk Grows Minimally Show Chinese title

Title: 一种随机游走可能端点数量增长最小的度量图

V.L. Chernyshev, A.A. Tolchennikov

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

[44] arXiv:2212.07377 [cn-pdf, pdf, other]

Title: A quantum energy inequality in the Sine--Gordon model Show Chinese title

Title: 在正弦-高登模型中的量子能量不等式

Markus B. Fröb, Daniela Cadamuro

Comments: 42 pages in CMP style, expanded introduction/acknowledgements, new references

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

[45] arXiv:2212.07529 [cn-pdf, pdf, html, other]

Title: Homotopy of periodic two by two matrices Show Chinese title

Title: 周期性二阶矩阵的同伦

Joseph E. Avron, Ari M. Turner

Comments: 23 pages 12 figures

Subjects: Mathematical Physics (math-ph)

[46] arXiv:2212.07573 [cn-pdf, pdf, other]

Title: Factorization for the full-line matrix Schrödinger equation and a unitary transformation to the half-line scattering Show Chinese title

Title: 全线矩阵薛定谔方程的因式分解和半线散射的酉变换

Tuncay Aktosun, Ricardo Weder

Comments: We have slightly edited the paper in order to improve the presentation of the results, and we have added a reference

Subjects: Mathematical Physics (math-ph)

[47] arXiv:2212.07589 [cn-pdf, pdf, other]

Title: Landscape approximation of the ground state eigenvalue for graphs and random hopping models Show Chinese title

Title: 地面状态本征值的景观近似对于图和随机跳跃模型

Laura Shou, Wei Wang, Shiwen Zhang

Comments: 44 pages, 10 figures

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

[48] arXiv:2212.07984 [cn-pdf, pdf, other]

Title: Symmetries of non-linear ODEs: lambda extensions of the Ising correlations Show Chinese title

Title: 非线性常微分方程的对称性：伊辛关联的lambda扩展

S. Boukraa, J. -M. Maillard

Comments: 23 pages

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

[49] arXiv:2212.08175 [cn-pdf, pdf, other]

Title: The observables of a perturbative algebraic quantum field theory form a factorization algebra Show Chinese title

Title: 微扰代数量子场论的可观测量形成一个分解代数

Owen Gwilliam, Kasia Rejzner

Comments: 42 pages

Subjects: Mathematical Physics (math-ph)

[50] arXiv:2212.08300 [cn-pdf, pdf, other]

Title: Generalisation of affine Lie algebras on compact real manifolds Show Chinese title

Title: 仿射李代数在紧致实流形上的推广

Rutwig Campoamor-Stursberg, Marc de Montigny, Michel Rausch de Traubenberg

Comments: Contribution to The 34th International Colloquium on Group Theoretical Methods in Physics

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