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Lu, J; Lu, J , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
Wave mechanics in quantum phase space: Harmonic oscillator
Source PublicationPHYSICA SCRIPTA
KeywordBose-einstein Condensation Rigorous Solutions State Vectors Representation Scattering Formulation Operator Atom Systems
AbstractIn this paper, we solve the rigorous solutions of the stationary Schrodinger equations for the harmonic oscillator within the framework of the quantum phase-space representation established by Torres-Vega and Frederick. We obtain the phase-space eigenfunctions of the three-dimensional isotropic harmonic oscillator in rectangular and spherical coordinate systems. and discuss the relationship between the eigenfunctions of the two coordinate systems. We also extend the "Fourier-like" projection transformations of the phase-space wave function to three-dimensional systems. and obtain the eigenfunctions in position and momentum representation through the transformations of the eigenfunction in the phase-space representation.
2004
ISSN0031-8949
Volume69Issue:2Pages:84-90
Subject AreaPhysics
Indexed BySCI
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/14134
Collection理论物理所科研产出_SCI论文
Corresponding AuthorLu, J , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
Recommended Citation
GB/T 7714
Lu, J,Lu, J , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.. Wave mechanics in quantum phase space: Harmonic oscillator[J]. PHYSICA SCRIPTA,2004,69(2):84-90.
APA Lu, J,&Lu, J , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China..(2004).Wave mechanics in quantum phase space: Harmonic oscillator.PHYSICA SCRIPTA,69(2),84-90.
MLA Lu, J,et al."Wave mechanics in quantum phase space: Harmonic oscillator".PHYSICA SCRIPTA 69.2(2004):84-90.
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