Repulsive Nonlinear Schrodinger Equation and Bose-Einstein Condensate in Phase Space

摘要：

Within the framework of the quantum phase-space representation established by Torres-Vega and Frederick, the rigorous solutions of repulsive nonlinear Schrodinger equation are solved, which models the dilute-gas Bose-Einstein condensate. The eigenfunctions in position and momentum spaces can be obtained through the Fourier-like projection transformation from the phase-space eigenfunctions. It shows that the wave-mechanics method in the phasespace representation could be extended to the nonlinear Schrodinger equations. The research provides the foundation for the approximate calculation in future.

关键词： nonlinear equation phase space Bose-Einstein condensate repulsive interaction

作者: Jun Lu Yun-Zhi Wang Xiao-Yun Mu

作者单位: Department of Foundational Science, Beijing Union University, Beijing, 100101 China

会议类型: 国际会议

会议名称: 2010 6th International Conference on MENS NANO,and Smart System(2010年微机电纳米、智能系统国际会议 ICMENS 2010)

会议地点: 长沙

会议语种:英文

页码: 99-102

在线出版日期: 2010-12-14（万方平台首次上网日期，不代表论文的发表时间）