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| Exact solutions for nonlinear Schr?dinger equation in phase space: applications to Bose－Einstein condensate | |
| 引用本文： | 陆军. Exact solutions for nonlinear Schr?dinger equation in phase space: applications to Bose－Einstein condensate[J]. 中国物理, 2004, 13(6): 811-816 |
| 作者姓名： | 陆军 |
| 作者单位： | Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080, China; Department of Computational Science, National University of Singapore, Singapore 117543, Singapore |
| 摘 要： | The stationary-state nonlinear Schr?dinger equation, which models the dilute-gas Bose－Einstein condensate, is introduced within the framework of the quantum phase-space representation established by Torres-Vega and Frederick. The exact solutions of equation are obtained in the phase space, by means of the wave-mechanics method. The eigenfunctions in position and momentum spaces are obtained through the ‘Fourier-like' projection transformation from the phase space eigenfunctions. The eigenfunction with a hypersecant part is discussed as an example. |
| 关 键 词： | nonlinear equation phase space Bose－Einstein condensate |
| 收稿时间： | 2003-07-04 |
Exact solutions for nonlinear Schr?dinger equation in phase space: applications to Bose－Einstein condensate |
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| Lu Jun. Exact solutions for nonlinear Schr?dinger equation in phase space: applications to Bose－Einstein condensate[J]. Chinese Physics, 2004, 13(6): 811-816 | |
| Authors: | Lu Jun |
| Affiliation: | Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080, China; Department of Computational Science, National University of Singapore, Singapore 117543, Singapore |
| Abstract: | The stationary-state nonlinear Schr?dinger equation, which models the dilute-gas Bose－Einstein condensate, is introduced within the framework of the quantum phase-space representation established by Torres-Vega and Frederick. The exact solutions of equation are obtained in the phase space, by means of the wave-mechanics method. The eigenfunctions in position and momentum spaces are obtained through the ‘Fourier-like' projection transformation from the phase space eigenfunctions. The eigenfunction with a hypersecant part is discussed as an example. |
| Keywords: | nonlinear equation phase space Bose－Einstein condensate |
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