| Wave mechanics in quantum phase space: hydrogen atom |
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| 引用本文： | LU Jun. Wave mechanics in quantum phase space: hydrogen atom[J]. 自然科学进展, 2007, 17(2): 144-149 |
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| 作者姓名： | LU Jun |
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| 作者单位： | 1. Department of Foundational Science, Beijing Union University, Beijing 100101, China; 2. Department of Computational Science, National University of Singapore, Singapore 117543, Singapore |
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| 基金项目： | Supported by National Natural Science Foundation of China (Grant No. 20273008)，Excellent Talent Foundation of Beijing (Grant No. 20051D0502209) |
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| 摘 要： | The rigorous solutions of the stationary Schr?dinger equation for hydrogen atom are solved with the wave-mechanics method within the framework of the quantum phase-space representation established by Torres-Vega and Frederick. The “Fourier-like” projection transformations of wave function from the phase space to position and momentum spaces are extended to three-dimensional systems. The eigenfunctions in general position and momentum spaces could be obtained through the transformations from eigenfunction in the phase space.
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| 关 键 词： | quantum phase space hydrogen atom projection transformation. |
Wave mechanics in quantum phase space: hydrogen atom |
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| LU Jun. Wave mechanics in quantum phase space: hydrogen atom[J]. , 2007, 17(2): 144-149 |
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| Authors: | LU Jun |
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| Affiliation: | 1. Department of Foundational Science, Beijing Union University, Beijing 100101, China; 2. Department of Computational Science, National University of Singapore, Singapore 117543, Singapore |
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| Abstract: | The rigorous solutions of the stationary Schrodinger equation for hydrogen atom are solved with the wave-mechanics method within the framework of the quantum phase-space representation established by Torres-Vega and Frederick. The "Fourier-like" projection transformations of wave function from the phase space to position and momentum spaces are extended to three-dimensional systems. The eigenfunctions in general position and momentum spaces could be obtained through the transformations from eigenfunction in the phase space. |
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| Keywords: | quantum phase space hydrogen atom projection transformation. |
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