Reports on Mathematical Physics最新文献_第8页

Dynamical symmetry of a semiconfined harmonic oscillator model with a position-dependent effective mass 具有位置相关有效质量的半精细谐振子模型的动力学对称性

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2023-10-01 DOI: 10.1016/S0034-4877(23)00070-8

E.I. Jafarov, S.M. Nagiyev

引用次数: 1

Einstein algebras in a categorical context 范畴背景下的爱因斯坦代数

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2023-08-01 DOI: 10.1016/S0034-4877(23)00055-1

Leszek Pysiak, Wiesław Sasin, Michael Heller, Tomasz Miller

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引用次数: 0

Almost Ricci-Bourguignon soliton on warped product space 弯曲积空间上的几乎里奇-布吉尼翁孤子

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2023-08-01 DOI: 10.1016/S0034-4877(23)00058-7

Santosh Kumar, Pankaj Kumar, Buddhadev Pal

引用次数: 0

Coherent states associated with tridiagonal Hamiltonians 与三对角线哈密顿量相关的相干态

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2023-08-01 DOI: 10.1016/S0034-4877(23)00059-9

Hashim A. Yamani, Zouhaïr Mouayn

{"title":"Coherent states associated with tridiagonal Hamiltonians","authors":"Hashim A. Yamani, Zouhaïr Mouayn","doi":"10.1016/S0034-4877(23)00059-9","DOIUrl":"10.1016/S0034-4877(23)00059-9","url":null,"abstract":"<div>It has been shown that a positive semi-definite Hamiltonian H, that has a tridiagonal matrix representation in a given basis\u0000<math><mrow><mrow><mo>{</mo><mrow><mrow><mo>|</mo><mrow><msub><mi>ϕ</mi><mi>n</mi></msub></mrow><mo>〉</mo></mrow></mrow><mo>}</mo></mrow></mrow></math>, can be represented in the form H = A†A, where A is a forward shift operator satisfying\u0000<math><mrow><mi>A</mi><mrow><mo>|</mo><mrow><msub><mi>ϕ</mi><mi>n</mi></msub></mrow><mo>〉</mo></mrow><mo>=</mo><msub><mi>c</mi><mi>n</mi></msub><mrow><mo>|</mo><mrow><msub><mi>ϕ</mi><mi>n</mi></msub></mrow><mo>〉</mo></mrow><mo>+</mo><msub><mi>d</mi><mi>n</mi></msub><mrow><mo>|</mo><mrow><msub><mi>ϕ</mi><mi>n</mi></msub><mo>-</mo><mn>1</mn></mrow><mo>〉</mo></mrow></mrow></math> playing the role of an annihilation operator. Here, the coherent states |z) are defined as eigenstates of A. We also exhibit a complete set of coherent states {|cn)}, labeled by the discrete points cn, which we may also use as a basis. We find a solution of the coherent state |z), indexed by the continuous parameter z as a series expansion in terms of the {|cn)}. We further show how to compute the time development of the coherent state |z) and we illustrate this with examples. As a major result, we find the explicit closed form solution |z) for the Morse oscillator.</div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"92 1","pages":"Pages 117-134"},"PeriodicalIF":0.8,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43532230","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

Mittag-Leffler based Bessel and Tricomi functions via umbral approach 基于本影方法的Mittag-Leffler的Bessel和Tricomi函数

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2023-08-01 DOI: 10.1016/S0034-4877(23)00051-4

Tabinda Nahid, Hari Ponnama Rani

引用次数: 0

Integrable nonlocal nonlinear Schrödinger hierarchies of type (-λ*,λ) and soliton solutions （-λ*，λ）型可积非局部非线性Schrödinger层次与孤立子解

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2023-08-01 DOI: 10.1016/S0034-4877(23)00052-6

Wen-Xiu Ma

引用次数: 23

Investigation of exact solutions and conservation laws for nonlinear fractional (2+1)-dimensional Burgers system of equations 非线性分数(2+1)维Burgers方程组的精确解和守恒律的研究

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2023-08-01 DOI: 10.1016/S0034-4877(23)00056-3

Komal Singla

引用次数: 0

On umbral properties of a family of hyperbolic-like functions appearing in magnetic transport problem 磁输运问题中一类双曲函数族的本影性质

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2023-08-01 DOI: 10.1016/S0034-4877(23)00053-8

Giuseppe Dattoli , Subuhi Khan , Mehnaz Haneef , Silvia Licciardi

引用次数: 0

On the discrete modified KP hierarchies: The Wronskian solutions for their constrained cases 关于离散修正KP层次：其约束情形的Wronskian解

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2023-08-01 DOI: 10.1016/S0034-4877(23)00057-5

Ge Yi, Liyun Wang, Kelei Tian, Ying Xu

引用次数: 0

Exponential entropy on sequential effect algebras 序列效应代数上的指数熵

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2023-08-01 DOI: 10.1016/S0034-4877(23)00054-X

Akhilesh Kumar Singh

引用次数: 0