Reports on Mathematical Physics最新文献_第5页

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IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2023-12-30 DOI: 10.1016/s0034-4877(23)00085-x

引用次数: 0

On the even-indexed eigenfunctions of the quantum harmonic oscillator 量子谐振子的偶指数本征函数

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)00069-1

John M. Campbell

引用次数: 0

An unbounded generalization of tomita's observable algebras III 富田可观测代数的无界推广III

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)00072-1

Hiroshi Inoue

引用次数: 0

Constraints and interactions in quantization of Yukawa model with higher-order derivatives 具有高阶导数的Yukawa模型量化中的约束和相互作用

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)00067-8

Jan Żochowski

引用次数: 0

A metrical approach to finsler geometry 芬斯勒几何的一种测量方法

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)00068-X

E. Minguzzi

引用次数: 1

Magnetostatic levitation and two related linear pdes in unbounded domains 无界域内的静磁悬浮和两种相关线性粒子

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)00066-6

Bartosz Bieganowski, Jakub Siemianowski, Tomasz Cieślak

引用次数: 0

Ground state energies of the hubbard models and the hartree–fock approximation hubbard模型和hartree-fock近似的基态能量

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)00071-X

Jacek Wojtkiewicz, Piotr H. Chankowski

引用次数: 0

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

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":null,"pages":null},"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