发布求助
文献互助 智能选刊 最新文献

Journal of Mathematical Physics最新文献

筛选
英文 中文
Discrete spectrum of the magnetic Laplacian on almost flat magnetic barriers 几乎平坦的磁屏障上的磁拉普拉斯离散谱
Journal of Mathematical Physics Pub Date : 2024-07-01 DOI: 10.1063/5.0208990
Germán Miranda
{"title":"Discrete spectrum of the magnetic Laplacian on almost flat magnetic barriers","authors":"Germán Miranda","doi":"10.1063/5.0208990","DOIUrl":"https://doi.org/10.1063/5.0208990","url":null,"abstract":"The magnetic Laplacian with a step magnetic field has been intensively studied during the last years. We adapt the construction introduced by Bonnaillie-Noël et al. [Bull. London Math. Soc. 56, 2529 (2024)] to prove the existence of bound states of a new effective operator involving a magnetic step field on a domain with an almost flat magnetic barrier. This result emphasizes the fact that even a small non-smoothness of the discontinuity region can cause the appearance of eigenvalues below the essential spectrum. We also give an example where this effective operator arises.","PeriodicalId":508452,"journal":{"name":"Journal of Mathematical Physics","volume":"44 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141688695","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The QG limit of magnetohydrodynamic rotating shallow water system 磁流体旋转浅水系统的 QG 极限
Journal of Mathematical Physics Pub Date : 2024-06-01 DOI: 10.1063/5.0197052
Yue Fang, Jiawei Wang, Xiao Wang, Xin Xu
{"title":"The QG limit of magnetohydrodynamic rotating shallow water system","authors":"Yue Fang, Jiawei Wang, Xiao Wang, Xin Xu","doi":"10.1063/5.0197052","DOIUrl":"https://doi.org/10.1063/5.0197052","url":null,"abstract":"Magnetohydrodynamic rotating shallow water system (MRSW) is a proposed model for a thin layer of electrically conducting fluid, which plays an important role in astrophysical plasma studies. For the spatial periodic domain, a mathematically rigorous framework is developed for deriving reduced systems for MRSW equations with general unbalanced initial data. It is shown that the reduced slow dynamics are the magnetohydrodynamic quasi-geostrophic equations.","PeriodicalId":508452,"journal":{"name":"Journal of Mathematical Physics","volume":"4 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141415561","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Inverse scattering problems of the biharmonic Schrödinger operator with a first order perturbation 具有一阶扰动的双谐波薛定谔算子的反散射问题
Journal of Mathematical Physics Pub Date : 2024-06-01 DOI: 10.1063/5.0202903
Xiang Xu, Yue Zhao
{"title":"Inverse scattering problems of the biharmonic Schrödinger operator with a first order perturbation","authors":"Xiang Xu, Yue Zhao","doi":"10.1063/5.0202903","DOIUrl":"https://doi.org/10.1063/5.0202903","url":null,"abstract":"We consider an inverse scattering problems for the biharmonic Schrödinger operator Δ2 + A · ∇ + V in three dimensions. By the Helmholtz decomposition, we take A = ∇p + ∇ ×ψ. The main contributions of this work are twofold. First, we derive a stability estimate of determining the divergence-free part ∇ ×ψ of A by far-field data at multiple wavenumbers. As a consequence, we further derive a quantitative stability estimate of determining −12∇⋅A+V. Both the stability estimates improve as the upper bound of the wavenumber increases, which exhibit the phenomenon of increased stability. Second, we obtain the uniqueness of recovering both A and V by partial far-field data. The analysis employs scattering theory to obtain an analytic domain and an upper bound for the resolvent of the fourth order elliptic operator. Notice that due to an obstruction to uniqueness, the corresponding results do not hold in general for the Laplacian, i.e., Δ + A · ∇ + V. This can be explained by the fact that the resolvent of the biharmonic operator enjoys a faster decay estimate with respect to the wavenumber compared with the Laplacian.","PeriodicalId":508452,"journal":{"name":"Journal of Mathematical Physics","volume":"26 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141410380","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Knotted 4-regular graphs. II. Consistent application of the Pachner moves 有结的 4-regular 图形。II.帕赫纳移动的一致应用
Journal of Mathematical Physics Pub Date : 2024-06-01 DOI: 10.1063/5.0191415
Daniel Cartin
{"title":"Knotted 4-regular graphs. II. Consistent application of the Pachner moves","authors":"Daniel Cartin","doi":"10.1063/5.0191415","DOIUrl":"https://doi.org/10.1063/5.0191415","url":null,"abstract":"A common choice for the evolution of the knotted graphs in loop quantum gravity is to use the Pachner moves, adapted to graphs from their dual triangulations. Here, we show that the natural way to consistently use these moves is on framed graphs with edge twists, where the Pachner moves can only be performed when the twists, and the vertices the edges are incident on, meet certain criteria. For other twists, one can introduce an algebraic object, which allow any knotted graph with framed edges to be written in terms of a generalized braid group.","PeriodicalId":508452,"journal":{"name":"Journal of Mathematical Physics","volume":"60 25","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141277097","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Phase properties of the mean-field Ising model with three-spin interaction 具有三自旋相互作用的均场伊辛模型的相位特性
Journal of Mathematical Physics Pub Date : 2024-06-01 DOI: 10.1063/5.0183805
Godwin Osabutey
{"title":"Phase properties of the mean-field Ising model with three-spin interaction","authors":"Godwin Osabutey","doi":"10.1063/5.0183805","DOIUrl":"https://doi.org/10.1063/5.0183805","url":null,"abstract":"The equilibrium and phase properties of the Ising model with three-spin interaction and an external field are studied within the framework of mean-field approximation. The thermodynamic properties of the model reveals two coexistence curves, signifying two distinct second-order phase transitions, dependent on the domain of the interaction parameter. The critical exponents of the magnetic order parameter are calculated in all directions of the phase space and show their agreement with the mean-field universality class.","PeriodicalId":508452,"journal":{"name":"Journal of Mathematical Physics","volume":"33 21","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141414901","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Inverse localization and global approximation for some Schrödinger operators on hyperbolic spaces 双曲空间上某些薛定谔算子的反局部化和全局逼近
Journal of Mathematical Physics Pub Date : 2024-06-01 DOI: 10.1063/5.0156230
A. Enciso, Alba García-Ruiz, D. Peralta-Salas
{"title":"Inverse localization and global approximation for some Schrödinger operators on hyperbolic spaces","authors":"A. Enciso, Alba García-Ruiz, D. Peralta-Salas","doi":"10.1063/5.0156230","DOIUrl":"https://doi.org/10.1063/5.0156230","url":null,"abstract":"We consider the question of whether the high-energy eigenfunctions of certain Schrödinger operators on the d-dimensional hyperbolic space of constant curvature −κ2 are flexible enough to approximate an arbitrary solution of the Helmholtz equation Δh + h = 0 on Rd, over the natural length scale O(λ−1/2) determined by the eigenvalue λ ≫ 1. This problem is motivated by the fact that, by the asymptotics of the local Weyl law, approximate Laplace eigenfunctions do have this approximation property on any compact Riemannian manifold. In this paper we are specifically interested in the Coulomb and harmonic oscillator operators on the hyperbolic spaces Hd(κ). As the dimension of the space of bound states of these operators tends to infinity as κ ↘ 0, one can hope to approximate solutions to the Helmholtz equation by eigenfunctions for some κ > 0 that is not fixed a priori. Our main result shows that this is indeed the case, under suitable hypotheses. We also prove a global approximation theorem with decay for the Helmholtz equation on manifolds that are isometric to the hyperbolic space outside a compact set, and consider an application to the study of the heat equation on Hd(κ). Although global approximation and inverse approximation results are heuristically related in that both theorems explore flexibility properties of solutions to elliptic equations on hyperbolic spaces, we will see that the underlying ideas behind these theorems are very different.","PeriodicalId":508452,"journal":{"name":"Journal of Mathematical Physics","volume":"54 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141277840","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dynamics analysis of an influenza epidemic model with virus mutation incorporating log-normal Ornstein–Uhlenbeck process 包含对数正态 Ornstein-Uhlenbeck 过程的病毒变异流感流行模型的动力学分析
Journal of Mathematical Physics Pub Date : 2024-06-01 DOI: 10.1063/5.0179818
Xinhong Zhang, Xiaoshan Zhang, Daqing Jiang
{"title":"Dynamics analysis of an influenza epidemic model with virus mutation incorporating log-normal Ornstein–Uhlenbeck process","authors":"Xinhong Zhang, Xiaoshan Zhang, Daqing Jiang","doi":"10.1063/5.0179818","DOIUrl":"https://doi.org/10.1063/5.0179818","url":null,"abstract":"A stochastic influenza epidemic model where influenza virus can mutate into a mutant influenza virus is established to study the influence of environmental disturbance. And the transmission rate of the model is assumed to satisfy log-normal Ornstein–Uhlenbeck process. We verify that there exists a unique global positive solution to the stochastic model. By constructing proper Lyapunov functions, sufficient conditions under which the stationary distribution exists are obtained. In addition, we discuss the extinction of the disease. Furthermore, we get the accurate expression of probability density function near the endemic equilibrium of the stochastic model. Finally, several numerical simulations are carried out to verify theoretical results and examine the influence of environmental noise.","PeriodicalId":508452,"journal":{"name":"Journal of Mathematical Physics","volume":"12 16","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141393985","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Local weighted topological pressure 局部加权拓扑压力
Journal of Mathematical Physics Pub Date : 2024-06-01 DOI: 10.1063/5.0195440
Fangzhou Cai
{"title":"Local weighted topological pressure","authors":"Fangzhou Cai","doi":"10.1063/5.0195440","DOIUrl":"https://doi.org/10.1063/5.0195440","url":null,"abstract":"In [D. Feng and W. Huang, J. Math. Pures Appl. 106, 411–452 (2016)], the authors studied weighted topological pressure and established a variational principle for it. In this paper, we introduce the notion of local weighted topological pressure and generalize Feng and Huang’s main results to localized version.","PeriodicalId":508452,"journal":{"name":"Journal of Mathematical Physics","volume":"15 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141391892","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Polymeromorphic Itô–Hermite functions associated with a singular potential vector on the punctured complex plane 与点状复平面上奇异势矢相关的多聚形态伊托-赫米特函数
Journal of Mathematical Physics Pub Date : 2024-06-01 DOI: 10.1063/5.0151921
Hajar Dkhissi, A. Ghanmi
{"title":"Polymeromorphic Itô–Hermite functions associated with a singular potential vector on the punctured complex plane","authors":"Hajar Dkhissi, A. Ghanmi","doi":"10.1063/5.0151921","DOIUrl":"https://doi.org/10.1063/5.0151921","url":null,"abstract":"We provide a theoretical study of a new family of orthogonal functions on the punctured complex plane solving the eigenvalue problems for some magnetic Laplacian perturbed by a singular vector potential with zero magnetic field modeling the Aharonov–Bohm effect. The functions are defined by their β-modified Rodrigues type formula and extend the polyanalytic Itô–Hermite polynomials to the polymeromorphic setting. Mainly, we derive their different operational representations and give their explicit expressions in terms of special functions. Different generating functions and integral representations are obtained.","PeriodicalId":508452,"journal":{"name":"Journal of Mathematical Physics","volume":"142 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141281235","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
KAM tori for two dimensional completely resonant derivative beam system 二维完全谐振导数束系统的 KAM 磁环
Journal of Mathematical Physics Pub Date : 2024-06-01 DOI: 10.1063/5.0183958
Shuaishuai Xue, Yingnan Sun
{"title":"KAM tori for two dimensional completely resonant derivative beam system","authors":"Shuaishuai Xue, Yingnan Sun","doi":"10.1063/5.0183958","DOIUrl":"https://doi.org/10.1063/5.0183958","url":null,"abstract":"In this paper, we introduce an abstract KAM (Kolmogorov–Arnold–Moser) theorem. As an application, we study the two-dimensional completely resonant beam system under periodic boundary conditions. Using the KAM theorem together with partial Birkhoff normal form method, we obtain a family of Whitney smooth small–amplitude quasi–periodic solutions for the equation system.","PeriodicalId":508452,"journal":{"name":"Journal of Mathematical Physics","volume":"13 7","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141398942","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信