发布求助
文献互助 智能选刊 最新文献

Reports on Mathematical Physics最新文献

筛选
英文 中文
Evaluation Of Integrals Of Bessel Functions With Umbral Methods 用本影法求贝塞尔函数的积分
IF 1.2 4区 物理与天体物理
Reports on Mathematical Physics Pub Date : 2025-10-01 Epub Date: 2025-11-24 DOI: 10.1016/S0034-4877(25)00064-3
Giuseppe Dattoli, Subuhi Khan, Ujair Ahmad
{"title":"Evaluation Of Integrals Of Bessel Functions With Umbral Methods","authors":"Giuseppe Dattoli,&nbsp;Subuhi Khan,&nbsp;Ujair Ahmad","doi":"10.1016/S0034-4877(25)00064-3","DOIUrl":"10.1016/S0034-4877(25)00064-3","url":null,"abstract":"<div><div>A symbolic method of umbral nature is employed to evaluate a family of infinite integrals containing combinations of various functions, including exponentials, logarithms, and products of Bessel functions of different types. The methods developed in this article are naturally suited for studying integrals, including Macdonald Bessel functions, and offer a particularly useful tool for working out the relevant details with minimal computational efforts.</div></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"96 2","pages":"Pages 213-226"},"PeriodicalIF":1.2,"publicationDate":"2025-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145584415","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dynamical And Invariance Algebras Of The D-Dimensional Dunkl-Coulomb Problem d维Dunkl-Coulomb问题的动态代数和不变代数
IF 1.2 4区 物理与天体物理
Reports on Mathematical Physics Pub Date : 2025-10-01 Epub Date: 2025-11-24 DOI: 10.1016/S0034-4877(25)00060-6
C. Quesne
{"title":"Dynamical And Invariance Algebras Of The D-Dimensional Dunkl-Coulomb Problem","authors":"C. Quesne","doi":"10.1016/S0034-4877(25)00060-6","DOIUrl":"10.1016/S0034-4877(25)00060-6","url":null,"abstract":"<div><div>It is shown that the rich algebraic structure of the standard <em>d</em>-dimensional Coulomb problem can be extended to its Dunkl counterpart. Replacing standard derivatives by Dunkl ones in the so(<em>d +</em> 1,2) dynamical algebra generators of the former gives rise to a deformed algebra with similar commutation relations, except that the metric tensor becomes dependent on the reflection operators and that there are some additional commutation or anticommutation relations involving the latter. It is then shown that from some of the dynamical algebra generators it is straightforward to derive the integrals of motion of the Dunkl–Coulomb problem in Sturm representation. Finally, from the latter, the components of a deformed Laplace–Runge–Lenz vector are built. Together with the Dunkl angular momentum components, such operators insure the superintegrability of the Dunkl–Coulomb problem in Schrödinger representation.</div></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"96 2","pages":"Pages 147-158"},"PeriodicalIF":1.2,"publicationDate":"2025-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145584163","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Feynman-Kac Integral And Dyson-Type Series Representations For The Schrödinger Equation On Finite Adeles 有限阶上Schrödinger方程的Feynman-Kac积分和dyson型级数表示
IF 1.2 4区 物理与天体物理
Reports on Mathematical Physics Pub Date : 2025-10-01 Epub Date: 2025-11-24 DOI: 10.1016/S0034-4877(25)00062-X
Roman Urban
{"title":"Feynman-Kac Integral And Dyson-Type Series Representations For The Schrödinger Equation On Finite Adeles","authors":"Roman Urban","doi":"10.1016/S0034-4877(25)00062-X","DOIUrl":"10.1016/S0034-4877(25)00062-X","url":null,"abstract":"<div><div>Let K be an algebraic number field. Let <strong><sup><em>α</em></sup></strong> be a Vladimirov type operator on the free module of rank d over a ring of finite adeles \u0000\t\t\t\t<span><math><msub><mi>A</mi><mi>K</mi></msub></math></span>. We consider the Schrödinger operator <em>H<sub>V</sub></em>(<em>t</em>) <em>=</em> <strong>D</strong><sup><em>α</em></sup> + V(<em>t</em>) with a nonnegative, bounded, time-dependent potential V(<em>t</em>). We prove a version of the Feynman–Kac formula for the evolution family \u0000\t\t\t\t<span><math><msubsup><mi>T</mi><mrow><mi>s</mi><mo>,</mo><mi>t</mi></mrow><mi>V</mi></msubsup></math></span> generated by the Schrödinger operator <em>H<sub>V</sub></em>(<em>t</em>) and show that \u0000\t\t\t\t<span><math><msubsup><mi>T</mi><mrow><mi>s</mi><mo>,</mo><mi>t</mi></mrow><mi>V</mi></msubsup></math></span> can be expressed in the form of the Dyson-type series.</div></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"96 2","pages":"Pages 189-199"},"PeriodicalIF":1.2,"publicationDate":"2025-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145584165","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Quantum Space Of Euclidean Lines 欧几里得线的量子空间
IF 1.2 4区 物理与天体物理
Reports on Mathematical Physics Pub Date : 2025-10-01 Epub Date: 2025-11-24 DOI: 10.1016/S0034-4877(25)00065-5
Piotr Stachura
{"title":"A Quantum Space Of Euclidean Lines","authors":"Piotr Stachura","doi":"10.1016/S0034-4877(25)00065-5","DOIUrl":"10.1016/S0034-4877(25)00065-5","url":null,"abstract":"<div><div>This article presents a differential groupoid with “coaction” of the groupoid underlying the quantum Euclidean group (i.e. its C*-algebra is the C*-algebra of this quantum group). The dual of the Lie algebroid is a Poisson manifold that can be identified with the space of oriented lines in Euclidean space equipped with a Poisson action of the Poisson–Lie Euclidean group.</div></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"96 2","pages":"Pages 227-254"},"PeriodicalIF":1.2,"publicationDate":"2025-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145584385","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Bessel Potentials and Green Functions on Pseudo-Euclidean Spaces 伪欧几里德空间上的贝塞尔势和格林函数
IF 1.2 4区 物理与天体物理
Reports on Mathematical Physics Pub Date : 2025-08-01 Epub Date: 2025-10-27 DOI: 10.1016/S0034-4877(25)00053-9
Jan Derezinski , Barteomiej Sikorski
{"title":"Bessel Potentials and Green Functions on Pseudo-Euclidean Spaces","authors":"Jan Derezinski ,&nbsp;Barteomiej Sikorski","doi":"10.1016/S0034-4877(25)00053-9","DOIUrl":"10.1016/S0034-4877(25)00053-9","url":null,"abstract":"<div><div>We review properties of Bessel potentials, that is, inverse Fourier transforms of (regularizations of) \u0000\t\t\t\t<span><math><msup><mrow><mo>(</mo><msup><mi>m</mi><mn>2</mn></msup><mo>+</mo><msup><mi>p</mi><mn>2</mn></msup><mo>)</mo></mrow><mrow><mo>−</mo><mfrac><mi>μ</mi><mn>2</mn></mfrac></mrow></msup></math></span> on a pseudo-Euclidean space with signature <em>(q, d-q</em>). We are mostly interested in the Lorentzian signature <em>(1,d- 1)</em>, and the case = 2, related to the Klein-Gordon equation \u0000\t\t\t\t<span><math><mo>(</mo><mo>−</mo><mi>◻</mi><mo>+</mo><msup><mi>m</mi><mrow><mn>2</mn></mrow></msup><mo>)</mo><mi>f</mi><mo>=</mo><mn>0</mn></math></span> We analyze properties of various “propagators”, which play an important role in quantum field theory, such as the retarded/advanced propagators or Feynman/anti-Feynman propagators. We consistently use hypergeometric functions instead of Bessel functions, which makes most formulae much more transparent. We pay attention to distributional properties of various Bessel potentials. We include in our analysis the “tachyonic case”, corresponding to the “wrong” sign in the Klein-Gordon equation.</div></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"96 1","pages":"Pages 19-54"},"PeriodicalIF":1.2,"publicationDate":"2025-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145371391","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Spectral Properties of Hexagonal Lattices with The -R Coupling 具有-R耦合的六方晶格的谱性质
IF 1.2 4区 物理与天体物理
Reports on Mathematical Physics Pub Date : 2025-08-01 Epub Date: 2025-10-27 DOI: 10.1016/S0034-4877(25)00057-6
Pavel Exner, Jan Pekar
{"title":"Spectral Properties of Hexagonal Lattices with The -R Coupling","authors":"Pavel Exner,&nbsp;Jan Pekar","doi":"10.1016/S0034-4877(25)00057-6","DOIUrl":"10.1016/S0034-4877(25)00057-6","url":null,"abstract":"<div><div>We analyze the spectrum of the hexagonal lattice graph with a vertex coupling which manifestly violates the time reversal invariance and at high energies it exhibits a nontrivial transport at odd-degree vertices; a comparison is made to the case when the edges are effectively decoupled at such vertices. We also show that the spectral character does not change if the equilateral elementary cell of the lattice is dilated to have three different edge lengths, except that flat bands are absent if those are incommensurate.</div></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"96 1","pages":"Pages 101-114"},"PeriodicalIF":1.2,"publicationDate":"2025-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145370999","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Local Well-Posedness of Generalized Maxwell-Chern-Simons-Higgs Equation in ℝ1+1 广义maxwell - chen - simons - higgs方程的局部适定性
IF 1.2 4区 物理与天体物理
Reports on Mathematical Physics Pub Date : 2025-08-01 Epub Date: 2025-10-27 DOI: 10.1016/S0034-4877(25)00055-2
Jiale Meng, Guanghui Jin
{"title":"Local Well-Posedness of Generalized Maxwell-Chern-Simons-Higgs Equation in ℝ1+1","authors":"Jiale Meng,&nbsp;Guanghui Jin","doi":"10.1016/S0034-4877(25)00055-2","DOIUrl":"10.1016/S0034-4877(25)00055-2","url":null,"abstract":"<div><div>In this paper, we study the generalized Maxwell-Chern-Simons-Higgs equation. We derive its one-dimensional formulation and establish the local well-posedness of the Cauchy problem under the Lorenz gauge condition. Building on the ideas from [<span><span>9</span></span>, <span><span>10</span></span>], we introduce suitable modifications to prove our main result.</div></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"96 1","pages":"Pages 75-83"},"PeriodicalIF":1.2,"publicationDate":"2025-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145371393","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On The Asymptotic Behaviour of The Unstable Bloch Eigenvalues of A Polyharmonic Matrix Operator 多谐矩阵算子不稳定Bloch特征值的渐近性
IF 1.2 4区 物理与天体物理
Reports on Mathematical Physics Pub Date : 2025-08-01 Epub Date: 2025-10-27 DOI: 10.1016/S0034-4877(25)00054-0
Sedef Karakiliç, Sedef Özcan, Setenay Akduman
{"title":"On The Asymptotic Behaviour of The Unstable Bloch Eigenvalues of A Polyharmonic Matrix Operator","authors":"Sedef Karakiliç,&nbsp;Sedef Özcan,&nbsp;Setenay Akduman","doi":"10.1016/S0034-4877(25)00054-0","DOIUrl":"10.1016/S0034-4877(25)00054-0","url":null,"abstract":"<div><div>We explore the asymptotic behaviour of the so-called unstable Bloch eigenvalues of the polyharmonic matrix operator \u0000\t\t\t\t<span><math><mrow><msup><mrow><mo>(</mo><mo>−</mo><mi>Δ</mi><mo>)</mo></mrow><mi>l</mi></msup><mo>+</mo><mi>V</mi><mo>(</mo><mi>x</mi><mo>)</mo><mtext> with </mtext><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>&lt;</mo><mi>l</mi><mo>&lt;</mo><mn>1</mn></mrow></math></span>, in the single resonance domain which is a subset of resonance domain — the set of eigenvalues situated close to the diffraction hyperplanes. The single resonance domain approaches full measure asymptotically across the entire resonance domain. In our analysis, we discover a significant trend: as energy levels increase, the eigenvalues are related to those of a Sturm–Liouville operator.</div></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"96 1","pages":"Pages 55-74"},"PeriodicalIF":1.2,"publicationDate":"2025-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145371392","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Spectral Analysis of Dirac Operators for Fermion Scattering on Topological Solitons in The Nonlinear O(3) σ-Model 非线性O(3) σ-模型中拓扑孤子上费米子散射Dirac算符的谱分析
IF 1.2 4区 物理与天体物理
Reports on Mathematical Physics Pub Date : 2025-08-01 Epub Date: 2025-10-27 DOI: 10.1016/S0034-4877(25)00052-7
Yuki Ueda, Satoshi Okumura , Daiju Funakawa
{"title":"Spectral Analysis of Dirac Operators for Fermion Scattering on Topological Solitons in The Nonlinear O(3) σ-Model","authors":"Yuki Ueda,&nbsp;Satoshi Okumura ,&nbsp;Daiju Funakawa","doi":"10.1016/S0034-4877(25)00052-7","DOIUrl":"10.1016/S0034-4877(25)00052-7","url":null,"abstract":"<div><div>We investigate the existence of discrete positive or negative energy ground states of the Dirac operator <em>H</em> which describe the fermion scattering on topological solitons in the nonlinear O (3) σ-model. Additionally, we provide a sufficient condition to ensure that the lowest positive and the largest negative energies of the Dirac operator <em>H</em> are nonzero.</div></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"96 1","pages":"Pages 1-17"},"PeriodicalIF":1.2,"publicationDate":"2025-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145370998","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Bounds for The Reduced Relative Entropies 简化相对熵的边界
IF 1.2 4区 物理与天体物理
Reports on Mathematical Physics Pub Date : 2025-08-01 Epub Date: 2025-10-27 DOI: 10.1016/S0034-4877(25)00056-4
Shigeru Furuichi, Frank Hansen
{"title":"Bounds for The Reduced Relative Entropies","authors":"Shigeru Furuichi,&nbsp;Frank Hansen","doi":"10.1016/S0034-4877(25)00056-4","DOIUrl":"10.1016/S0034-4877(25)00056-4","url":null,"abstract":"<div><div>A lower bound of the reduced relative entropy is given by the use of a variational expression. The reduced Tsallis relative entropy is defined and some results are given. In particular, the convexity of the reduced Tsallis relative entropy is obtained. Finally, an upper bound of the reduced Tsallis relative entropy is given.</div></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"96 1","pages":"Pages 85-99"},"PeriodicalIF":1.2,"publicationDate":"2025-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145371394","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
首页 上一页 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：604180095
Book学术官方微信
小红书