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题名: Wave mechanics in quantum phase space: Harmonic oscillator
作者: Lu, J
刊名: PHYSICA SCRIPTA
出版日期: 2004
卷号: 69, 期号:2, 页码:84-90
关键词: BOSE-EINSTEIN CONDENSATION ;  RIGOROUS SOLUTIONS ;  STATE VECTORS ;  REPRESENTATION ;  SCATTERING ;  FORMULATION ;  OPERATOR ;  ATOM ;  SYSTEMS
学科分类: Physics
通讯作者: Lu, J , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
部门归属: Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China; Natl Univ Singapore, Dept Comp Sci, Singapore 117548, Singapore
英文摘要: 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.
收录类别: SCI
原文出处: 查看原文
WOS记录号: WOS:000189179600002
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/14134
Appears in Collections:理论物理所1978-2010年知识产出_期刊论文

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Recommended Citation:
Lu, J. Wave mechanics in quantum phase space: Harmonic oscillator[J]. PHYSICA SCRIPTA,2004,69(2):84-90.
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