Reports on Mathematical Physics最新文献_第9页

ON BOUNDARY CONDITIONS AND THE RIGGED HILBERT SPACE FORMALISM OF QUANTUM MECHANICS 量子力学的边界条件和操纵希尔伯特空间形式

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2023-04-01 DOI: 10.1016/S0034-4877(23)00025-3

Nadia Boudi, Zakariae Ennadifi

引用次数: 0

ON SPACETIME ALGEBRA AND ITS RELATIONS WITH NEGATIVE MASSES 论时空代数及其与负质量的关系

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2023-04-01 DOI: 10.1016/S0034-4877(23)00023-X

N. Debergh, J.-P. Petit

引用次数: 0

GRAY's DECOMPOSITION AND WARPED PRODUCT OF GENERALIZED RICCI RECURRENT SPACETIMES 广义RICCI循环时空的GRAY分解与弯曲积

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2023-02-01 DOI: 10.1016/S0034-4877(23)00013-7

Uday Chand De, Sameh Shenawy, Abdallah Abdelhameed Syied

{"title":"GRAY's DECOMPOSITION AND WARPED PRODUCT OF GENERALIZED RICCI RECURRENT SPACETIMES","authors":"Uday Chand De, Sameh Shenawy, Abdallah Abdelhameed Syied","doi":"10.1016/S0034-4877(23)00013-7","DOIUrl":"10.1016/S0034-4877(23)00013-7","url":null,"abstract":"<div>Generalized Ricci recurrent spacetimes (GR)n are investigated in Gray's seven subspaces. It is proved that a (GR)n spacetime in all subspaces but one is an Einstein spacetime. The subspace <math><mi>ℐ</mi></math> cannot contain a (GR)n spacetime. Further, the subspaces <math><mrow><mi>ℐ</mi><mo>⊕</mo><mi>A</mi></mrow></math> and <math><mrow><mi>ℐ</mi><mo>⊕</mo><mi>B</mi></mrow></math> reduce to <math><mi>A</mi></math> and <math><mi>B</mi></math>, respectively. Next, we prove that a (GR)n spacetime is Ricci semi-symmetric if and only if either the spacetime is Einstein or the vector field Al is closed. Further, it is shown that the Ricci tensor of (GR)n is Riemann compatible if Al is closed. Finally, sufficient conditions are given on a (GR)n warped product manifold to guarantee that the factor manifolds are Einstein. Moreover, it is shown that a generalized Ricci recurrent GRW spacetime is an Einstein spacetime.</div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"91 1","pages":"Pages 103-116"},"PeriodicalIF":0.8,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48948630","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: 2

APPROXIMATION STATES AND FIXED POINTS OF QUANTUM CHANNELS* 量子通道的近似态和不动点

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2023-02-01 DOI: 10.1016/S0034-4877(23)00014-9

Yuan Li, Fan Li, Shan Chen, Yanni Chen

{"title":"APPROXIMATION STATES AND FIXED POINTS OF QUANTUM CHANNELS*","authors":"Yuan Li, Fan Li, Shan Chen, Yanni Chen","doi":"10.1016/S0034-4877(23)00014-9","DOIUrl":"10.1016/S0034-4877(23)00014-9","url":null,"abstract":"<div>In this note, we extend some results on positive and completely positive trace-preserving maps (called quantum channels in the CPTP case) from finite-dimensional to infinite-dimensional Hilbert space. Specifically, we mainly consider whether the fixed state of a quantum channel Φ on <math><mi>T</mi><mrow><mo>(</mo><mi>ℋ</mi><mo>)</mo></mrow></math> exists, where <math><mi>T</mi><mrow><mo>(</mo><mi>ℋ</mi><mo>)</mo></mrow></math> is the Banach algebra of all trace-class operators on the Hilbert space <math><mi>ℋ</mi></math>. We show that there exist the approximation states ρn for every quantum channel Φ. In particular, there is a quantum channel on <math><mi>T</mi><mrow><mo>(</mo><mi>ℋ</mi><mo>)</mo></mrow></math>, which has not a fixed state. Also, we get the relationship between the fixed points of <math><mrow><mi>Φ</mi><mrow><mo>(</mo><mrow><mo>|</mo><mi>A</mi><mo>|</mo></mrow><mo>)</mo></mrow><mo>=</mo><mo>|</mo><mi>A</mi><mo>|</mo></mrow></math> and Φ(A) = ωA, where ω is the complex number with |ω| = 1 and <math><mrow><mi>A</mi><mo>∈</mo><mi>T</mi><mrow><mo>(</mo><mi>ℋ</mi><mo>)</mo></mrow></mrow></math>.</div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"91 1","pages":"Pages 117-129"},"PeriodicalIF":0.8,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42624572","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

NEW CRITERION OF STABILITY FOR TIME-VARYING DYNAMICAL SYSTEMS: APPLICATION TO SPRING-MASS-DAMPER MODEL 时变动力系统稳定性新准则:在弹簧-质量-阻尼器模型中的应用

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2023-02-01 DOI: 10.1016/S0034-4877(23)00007-1

Ezzine Faten, Mohamed Ali Hammami

引用次数: 0

3-JACK POLYNOMIALS AND YANG--BAXTER EQUATION 3-JACK多项式与杨-巴克斯特方程

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2023-02-01 DOI: 10.1016/S0034-4877(23)00012-5

Na Wang

引用次数: 3

CHARACTERIZATIONS OF ALMOST PSEUDO-RICCI SYMMETRIC SPACETIMES UNDER GRAY's DECOMPOSITION GRAY分解下几乎伪RICCI对称时空的特征

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2023-02-01 DOI: 10.1016/S0034-4877(23)00008-3

Dipankar Hazra, Uday Chand De

引用次数: 0

ONE-PARAMETER GENERALISED FISHER INFORMATION MATRIX: ONE RANDOM VARIABLE 单参数广义fisher信息矩阵:一个随机变量

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2023-02-01 DOI: 10.1016/S0034-4877(23)00011-3

Worachet Bukaew , Sikarin Yoo-Kong

{"title":"ONE-PARAMETER GENERALISED FISHER INFORMATION MATRIX: ONE RANDOM VARIABLE","authors":"Worachet Bukaew , Sikarin Yoo-Kong","doi":"10.1016/S0034-4877(23)00011-3","DOIUrl":"10.1016/S0034-4877(23)00011-3","url":null,"abstract":"<div>We propose a generalised Fisher information or a one-parameter extended class of the Fisher information for the case of one random variable. This new form of the Fisher information is obtained from the intriguing connection between the standard Fisher information and the variational principle together with the nonuniqueness property of the Lagrangian. A generalised Cramér--Rao inequality is also derived and a Fisher information hierarchy is also obtained from the two-parameter Kullback-Leibler divergence. An interesting point is that the whole Fisher information hierarchy, except for the standard Fisher information, does not follow the additive rule. Furthermore, the idea can be directly extended to obtain the one-parameter generalised Fisher information matrix for the case of one random variable with multi-estimated parameters. The hierarchy of the Fisher information matrices is obtained. The geometrical meaning of the first two matrices in the hierarchy is studied through the normal distribution. What we find is that these first two Fisher matrices give different nature of curvature on the same statistical manifold for the normal distribution.</div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"91 1","pages":"Pages 57-78"},"PeriodicalIF":0.8,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46383976","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

LIE-POISSON REDUCTION FOR OPTIMAL CONTROL OF LEFT-INVARIANT CONTROL SYSTEMS WITH SUBGROUP SYMMETRY 子群对称左变量控制系统最优控制的LIE-POISSON约简

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2023-02-01 DOI: 10.1016/S0034-4877(23)00015-0

Leonardo Colombo, Efstratios Stratoglou

引用次数: 1

GAUSS DECOMPOSITION AND NONSTANDARD DEFORMATION OF GL(1|1) GL（1|1）的GAUSS分解与非标准变形

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2023-02-01 DOI: 10.1016/S0034-4877(23)00010-1

Salih Celik

引用次数: 0