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Wave mechanics in quantum phase space: Harmonic oscillator
Lu, J; Lu, J , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
2004
发表期刊PHYSICA SCRIPTA
ISSN0031-8949
卷号69期号:2页码:84-90
摘要In 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.
部门归属Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China; Natl Univ Singapore, Dept Comp Sci, Singapore 117548, Singapore
关键词Bose-einstein Condensation Rigorous Solutions State Vectors Representation Scattering Formulation Operator Atom Systems
学科领域Physics
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收录类别SCI
WOS记录号WOS:000189179600002
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文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/14134
专题理论物理所1978-2010年知识产出
通讯作者Lu, J , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
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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[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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