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Mixed Quasi-Einstein M(QE)n Relativistic Spacetimes with Applications 混合准爱因斯坦M(QE)n及其应用
IF 1.2 4区 物理与天体物理
Reports on Mathematical Physics Pub Date : 2025-12-01 Epub Date: 2025-12-31 DOI: 10.1016/S0034-4877(25)00076-X
Sameh Shenawy, Uday Chand De, Nasser Bin Turki
{"title":"Mixed Quasi-Einstein M(QE)n Relativistic Spacetimes with Applications","authors":"Sameh Shenawy,&nbsp;Uday Chand De,&nbsp;Nasser Bin Turki","doi":"10.1016/S0034-4877(25)00076-X","DOIUrl":"10.1016/S0034-4877(25)00076-X","url":null,"abstract":"<div><div>In this study, it is demonstrated that a space-time <em>M</em> is a mixed quasi-Einstein M(QE)<sub>n</sub> space-time if <em>M</em> is a pseudo-Ricci symmetric space-time and the Ricci tensor is a conformal Killing tensor. Additionally, it is proved that a Ricci symmetric M(QE)<sub>n</sub> space-time is either Einstein or a static space-time. As a result, it is established that a Ricci symmetric M(QE)<sub>n</sub> generalized Robertson-Walker space-time is either perfect fluid or a static space-time. A Ricci semi-symmetric M(QE)<sub>n</sub> space-time is proven to be an Einstein space-time, and its sectional curvature is given. Furthermore, a Ricci recurrent M(QE)<sub>n</sub> space-time is Einstein or the spacetime is a GRW space-time. A generalized Ricci recurrent M(QE)<sub>n</sub> space-time is also shown to be either an Einstein space-time or a GRW space-time.</div></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"96 3","pages":"Pages 313-326"},"PeriodicalIF":1.2,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145871636","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
Product of Quantum Measure Spaces and Shadowing 量子测量空间的积与阴影
IF 1.2 4区 物理与天体物理
Reports on Mathematical Physics Pub Date : 2025-12-01 Epub Date: 2025-12-31 DOI: 10.1016/S0034-4877(25)00080-1
Mona Khare, Ravi Singh Chauhan
{"title":"Product of Quantum Measure Spaces and Shadowing","authors":"Mona Khare,&nbsp;Ravi Singh Chauhan","doi":"10.1016/S0034-4877(25)00080-1","DOIUrl":"10.1016/S0034-4877(25)00080-1","url":null,"abstract":"<div><div>In the present paper, we build up a theory of finite and countable product of quantum dynamical systems, and investigate the preservation of shadowing and ergodic shadowing properties under this product; examples are also given. The notion of ergodic shadowing property involves the concepts of asymptotic density and pseudo chain. It is shown that an ergodic pseudo chain need not be a pseudo chain. A sufficient condition for a quantum dynamical system to have shadowing property is constructed; it has been established that its converse need not be true. It is proved that a surjective morphism φ on such system that have the ergodic shadowing property implies that φ has finite shadowing property.</div></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"96 3","pages":"Pages 369-384"},"PeriodicalIF":1.2,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145871632","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
Remarks on the Leapfrogging Motion for Planar Euler Equations 平面欧拉方程跳越运动的若干问题
IF 1.2 4区 物理与天体物理
Reports on Mathematical Physics Pub Date : 2025-12-01 Epub Date: 2025-12-31 DOI: 10.1016/S0034-4877(25)00078-3
Paolo Buttà, Guido Cavallaro, Carlo Marchioro
{"title":"Remarks on the Leapfrogging Motion for Planar Euler Equations","authors":"Paolo Buttà,&nbsp;Guido Cavallaro,&nbsp;Carlo Marchioro","doi":"10.1016/S0034-4877(25)00078-3","DOIUrl":"10.1016/S0034-4877(25)00078-3","url":null,"abstract":"<div><div>In the recent paper [<span><span>11</span></span>], the authors provided the first construction of classical solutions for Euler equations featuring leapfrogging motion for any time, by desingularizing via concentrated vortex patches a suitable four-point vortex dynamics in the plane. In this note, we show that the leapfrogging motion persists for very long times by replacing such patches with quite general initial data of concentrated vorticity.</div></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"96 3","pages":"Pages 343-355"},"PeriodicalIF":1.2,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145871664","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
Confluent Functions, Laguerre Polynomials and Their (Generalized) Bilinear Integrals 收敛函数、拉盖尔多项式及其（广义）双线性积分
IF 1.2 4区 物理与天体物理
Reports on Mathematical Physics Pub Date : 2025-12-01 Epub Date: 2025-12-31 DOI: 10.1016/S0034-4877(25)00074-6
Jan Dereziński , Christian Gaß , Joonas Mikael Vättö
{"title":"Confluent Functions, Laguerre Polynomials and Their (Generalized) Bilinear Integrals","authors":"Jan Dereziński ,&nbsp;Christian Gaß ,&nbsp;Joonas Mikael Vättö","doi":"10.1016/S0034-4877(25)00074-6","DOIUrl":"10.1016/S0034-4877(25)00074-6","url":null,"abstract":"<div><div>We review properties of confluent functions and the closely related Laguerre polynomials, and determine their bilinear integrals. As is well known, these integrals are convergent only for a limited range of parameters. However, when one uses <em>the generalized integral</em> they can be computed essentially without restricting the parameters. This gives the (generalized) Gram matrix of Laguerre polynomials. If the parameters are not negative integers, then Laguerre polynomials are orthogonal, or at least pseudo-orthogonal in the case of generalized integrals. For negative integer parameters, the orthogonality relations are more complicated.</div></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"96 3","pages":"Pages 275-297"},"PeriodicalIF":1.2,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145871634","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
Generalized Diffusion Process with Nonlocal Interactions: Continuous Time Random Walk Model and Stochastic Resetting 具有非局部相互作用的广义扩散过程：连续时间随机漫步模型和随机重置
IF 1.2 4区 物理与天体物理
Reports on Mathematical Physics Pub Date : 2025-12-01 Epub Date: 2025-12-31 DOI: 10.1016/S0034-4877(25)00081-3
Pece Trajanovski, Irina Petreska, Katarzyna Górska, Ljupco Kocarev, Trifce Sandev
{"title":"Generalized Diffusion Process with Nonlocal Interactions: Continuous Time Random Walk Model and Stochastic Resetting","authors":"Pece Trajanovski,&nbsp;Irina Petreska,&nbsp;Katarzyna Górska,&nbsp;Ljupco Kocarev,&nbsp;Trifce Sandev","doi":"10.1016/S0034-4877(25)00081-3","DOIUrl":"10.1016/S0034-4877(25)00081-3","url":null,"abstract":"<div><div>A space-fractional diffusion-like equation is introduced, which embodies the nonlocality in time, represented by the memory kernel and the nonlocality in space. A specific example of the nonlocal term is considered in combination with three different forms of the memory kernel. To analyse the probability density function, we utilize the subordination approach. Subsequently, the corresponding continuous time random walk model is presented. Furthermore, we investigate the effects of the stochastic resetting on the dynamics of the process and we showed that in the long time limit the system approaches a nonequilibrium stationary state.</div></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"96 3","pages":"Pages 385-405"},"PeriodicalIF":1.2,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145871633","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
Index 指数
IF 1.2 4区 物理与天体物理
Reports on Mathematical Physics Pub Date : 2025-12-01 Epub Date: 2025-12-31 DOI: 10.1016/S0034-4877(25)00082-5
{"title":"Index","authors":"","doi":"10.1016/S0034-4877(25)00082-5","DOIUrl":"10.1016/S0034-4877(25)00082-5","url":null,"abstract":"","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"96 3","pages":"Pages 407-408"},"PeriodicalIF":1.2,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145871631","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
Modeling Schrödinger Equation Diffraction With Generalized Function Potentials And Initial Values 用广义函数势和初值建模Schrödinger方程衍射
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)00061-8
Günther Hörmann, Ljubica Oparnica, Christian Spreitzer
{"title":"Modeling Schrödinger Equation Diffraction With Generalized Function Potentials And Initial Values","authors":"Günther Hörmann,&nbsp;Ljubica Oparnica,&nbsp;Christian Spreitzer","doi":"10.1016/S0034-4877(25)00061-8","DOIUrl":"10.1016/S0034-4877(25)00061-8","url":null,"abstract":"<div><div>We discuss spectral properties of a regularization approach to a Schrödinger equation setup for the diffraction of a quantum particle at almost planar patterns. Physically meaningful initial values and potentials are modeled in terms of regularizing families and the solutions can be interpreted as generalized functions. We establish spectral and scattering theoretical properties of the regularizing solution families and provide some comparison with the more direct approximations and simplifications used in physics.</div></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"96 2","pages":"Pages 159-187"},"PeriodicalIF":1.2,"publicationDate":"2025-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145584164","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
Reduction Of Poisson Manifolds With Hamiltonian Lie Algebroids 用哈密顿李代数体约化泊松流形
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)00063-1
Yuji Hirota, Noriaki Ikeda
{"title":"Reduction Of Poisson Manifolds With Hamiltonian Lie Algebroids","authors":"Yuji Hirota,&nbsp;Noriaki Ikeda","doi":"10.1016/S0034-4877(25)00063-1","DOIUrl":"10.1016/S0034-4877(25)00063-1","url":null,"abstract":"<div><div>A reduction theorem for Poisson manifolds with Hamiltonian Lie algebroids is presented. The notion of compatibility of a momentum section is introduced to the category of Hamiltonian Lie algebroids over Poisson manifolds. It is shown that a compatible momentum section is a Lie algebra homomorphism, and then the quotient space of the zero level set of a compatible momentum section proves to be a Poisson manifold.</div></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"96 2","pages":"Pages 201-212"},"PeriodicalIF":1.2,"publicationDate":"2025-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145584166","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 Investigation Of Solutions For Caudrey-Dodd-Gibbon Equation With Space-Time Fractional Derivatives 时空分数阶Caudrey-Dodd-Gibbon方程解的研究
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)00067-9
Komal Singla
{"title":"On Investigation Of Solutions For Caudrey-Dodd-Gibbon Equation With Space-Time Fractional Derivatives","authors":"Komal Singla","doi":"10.1016/S0034-4877(25)00067-9","DOIUrl":"10.1016/S0034-4877(25)00067-9","url":null,"abstract":"<div><div>In this paper, the exact solutions of space-time fractional Caudrey-Dodd-Gibbon equation are investigated by implementing the symmetry approach and power series method. The reported solutions are very interesting due to their novelty and significance in the field of fractional calculus. The graphical behaviour of the solutions is also interpreted in the present study.</div></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"96 2","pages":"Pages 265-273"},"PeriodicalIF":1.2,"publicationDate":"2025-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145584162","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 *-Automorphisms Of Unbounded Observable Algebras 关于无界可观察代数的*-自同构
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)00066-7
Hiroshi Inoue
{"title":"On *-Automorphisms Of Unbounded Observable Algebras","authors":"Hiroshi Inoue","doi":"10.1016/S0034-4877(25)00066-7","DOIUrl":"10.1016/S0034-4877(25)00066-7","url":null,"abstract":"<div><div>In this paper we shall study *-automorphisms of an unbounded observable algebra called <em>T</em><sup>†</sup>-algebras. The first purpose is to investigate when a *-automorphism <em>α</em> of a T<sup>†</sup> -algebra \u0000\t\t\t\t<span><math><mi>A</mi></math></span> on a dense subspace <em>D</em> in a Hilbert space <em>H</em> is represented as <em>α = T<sub>g</sub> ∘ I<sub>U</sub> ∘ S<sub>γ</sub></em> by a unitary transform <em>I<sub>U</sub></em>, a similar transform <em>S<sub>γ</sub></em> and a translation <em>T<sub>g</sub></em> of \u0000\t\t\t\t<span><math><mi>A</mi></math></span>. The second purpose is to investigate when <em>α</em> is a unitary transform, namely <em>α = I<sub>U</sub></em>.</div></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"96 2","pages":"Pages 255-263"},"PeriodicalIF":1.2,"publicationDate":"2025-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145584386","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
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