Letters in Mathematical Physics最新文献_第10页

Cut-and-paste for impulsive gravitational waves with (Lambda ): the mathematical analysis 用 $$Lambda $$ 对脉冲引力波进行剪贴：数学分析

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2024-04-24 DOI: 10.1007/s11005-024-01804-0

Clemens Sämann, Benedict Schinnerl, Roland Steinbauer, Robert Švarc

引用次数: 0

Petz–Rényi relative entropy of thermal states and their displacements 热态及其位移的 Petz-Rényi 相对熵

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2024-04-17 DOI: 10.1007/s11005-024-01805-z

George Androulakis, Tiju Cherian John

{"title":"Petz–Rényi relative entropy of thermal states and their displacements","authors":"George Androulakis, Tiju Cherian John","doi":"10.1007/s11005-024-01805-z","DOIUrl":"10.1007/s11005-024-01805-z","url":null,"abstract":"<div>In this letter, we obtain the precise range of the values of the parameter (alpha ) such that Petz–Rényi (alpha )-relative entropy (D_{alpha }(rho ||sigma )) of two faithful displaced thermal states is finite. More precisely, we prove that, given two displaced thermal states (rho ) and (sigma ) with inverse temperature parameters (r_1, r_2,ldots , r_n) and (s_1,s_2, ldots , s_n), respectively, (0<r_j,s_j<infty ), for all j, we have <div><div>$$begin{aligned} D_{alpha }(rho ||sigma )<infty Leftrightarrow alpha< min left{ frac{s_j}{s_j-r_j}: j in { 1, ldots , n } text { such that } r_j<s_j right} , end{aligned}$$</div></div>where we adopt the convention that the minimum of an empty set is equal to infinity. This result is particularly useful in the light of operational interpretations of the Petz–Rényi (alpha )-relative entropy in the regime (alpha >1 ). Along the way, we also prove a special case of a conjecture of Seshadreesan et al. (J Math Phys 59(7):072204, 2018. https://doi.org/10.1063/1.5007167).</div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140612242","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

From port-based teleportation to Frobenius reciprocity theorem: partially reduced irreducible representations and their applications 从基于端口的远距传输到弗罗贝尼斯互易定理：部分还原的不可还原表征及其应用

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2024-04-16 DOI: 10.1007/s11005-024-01800-4

Marek Mozrzymas, Michał Horodecki, Michał Studziński

{"title":"From port-based teleportation to Frobenius reciprocity theorem: partially reduced irreducible representations and their applications","authors":"Marek Mozrzymas, Michał Horodecki, Michał Studziński","doi":"10.1007/s11005-024-01800-4","DOIUrl":"10.1007/s11005-024-01800-4","url":null,"abstract":"<div>In this paper, we present the connection of two concepts as induced representation and partially reduced irreducible representations (PRIR) appear in the context of port-based teleportation protocols. Namely, for a given finite group G with arbitrary subgroup H, we consider a particular case of matrix irreducible representations, whose restriction to the subgroup H, as a matrix representation of H, is completely reduced to diagonal block form with an irreducible representation of H in the blocks. The basic properties of such representations are given. Then as an application of this concept, we show that the spectrum of the port-based teleportation operator acting on n systems is connected in a very simple way with the spectrum of the corresponding Jucys–Murphy operator for the symmetric group (S(n-1)subset S(n)). This shows on the technical level relation between teleporation and one of the basic objects from the point of view of the representation theory of the symmetric group. This shows a deep connection between the central object describing properties of deterministic PBT schemes and objects appearing naturally in the abstract representation theory of the symmetric group. In particular, we present a new expression for the eigenvalues of the Jucys–Murphy operators based on the irreducible characters of the symmetric group. As an additional but not trivial result, we give also purely matrix proof of the Frobenius reciprocity theorem for characters with explicit construction of the unitary matrix that realizes the reduction in the natural basis of induced representation to the reduced one.</div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-024-01800-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140589305","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Nonlocal Kundu–Eckhaus equation: integrability, Riemann–Hilbert approach and Cauchy problem with step-like initial data 非局部昆杜-埃克豪斯方程：可整性、黎曼-希尔伯特方法和具有阶梯状初始数据的考奇问题

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2024-04-13 DOI: 10.1007/s11005-024-01802-2

Bei-Bei Hu, Zu-Yi Shen, Ling Zhang

引用次数: 0

On an orthogonal polynomial sequence and its recurrence coefficients 论正交多项式序列及其递推系数

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2024-04-12 DOI: 10.1007/s11005-024-01801-3

D. Mbouna

引用次数: 0

Convolution semigroups on Rieffel deformations of locally compact quantum groups 局部紧凑量子群里费尔变形上的卷积半群

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2024-04-08 DOI: 10.1007/s11005-024-01797-w

Adam Skalski, Ami Viselter

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(theta )-splitting densities and reflection positivity $$theta $$ -分裂密度和反射正性

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2024-04-08 DOI: 10.1007/s11005-024-01799-8

Jobst Ziebell

引用次数: 0

Pickl’s proof of the quantum mean-field limit and quantum Klimontovich solutions 皮克尔对量子均场极限和量子克里蒙托维奇解的证明

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2024-04-06 DOI: 10.1007/s11005-023-01768-7

Immanuel Ben Porat, François Golse

{"title":"Pickl’s proof of the quantum mean-field limit and quantum Klimontovich solutions","authors":"Immanuel Ben Porat, François Golse","doi":"10.1007/s11005-023-01768-7","DOIUrl":"10.1007/s11005-023-01768-7","url":null,"abstract":"<div>This paper discusses the mean-field limit for the quantum dynamics of N identical bosons in ({textbf{R}}^3) interacting via a binary potential with Coulomb-type singularity. Our approach is based on the theory of quantum Klimontovich solutions defined in Golse and Paul (Commun Math Phys 369:1021–1053, 2019) . Our first main result is a definition of the interaction nonlinearity in the equation governing the dynamics of quantum Klimontovich solutions for a class of interaction potentials slightly less general than those considered in Kato (Trans Am Math Soc 70:195–211, 1951). Our second main result is a new operator inequality satisfied by the quantum Klimontovich solution in the case of an interaction potential with Coulomb-type singularity. When evaluated on an initial bosonic pure state, this operator inequality reduces to a Gronwall inequality for a functional introduced in Pickl (Lett Math Phys 97:151-164, 2011), resulting in a convergence rate estimate for the quantum mean-field limit leading to the time-dependent Hartree equation.\u0000</div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-023-01768-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140589298","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Orthosymplectic superoscillator Lax matrices 正交折中超振荡器拉克斯矩阵

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2024-03-29 DOI: 10.1007/s11005-024-01789-w

Rouven Frassek, Alexander Tsymbaliuk

引用次数: 0

Bogoyavlensky–modified KdV hierarchy and toroidal Lie algebra (textrm{sl}^textrm{tor}_{2}) Bogoyavlensky 修正的 KdV 层次结构和环状李代数 $$textrm{sl}^textrm{tor}_{2}$$

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2024-03-29 DOI: 10.1007/s11005-024-01798-9

Yi Yang, Jipeng Cheng

引用次数: 0