相空间中吸引性非线性Schrdinger方程与Bose-Einstein凝聚  

Attractive nonlinear Schrdinger equation and Bose-Einstein condensate in phase space

作　　者：陆军[1] 宗广志 李琳[1] 尚宏龄[1] 

机构地区：[1]北京联合大学基础部

出　　处：《原子与分子物理学报》2007年第5期1093-1098,共6页Journal of Atomic and Molecular Physics

基　　金：国家自然科学基金(20273008);北京市优秀人才培养资助(20051D0502209)

摘　　要：在Torres-Vega和Frederick量子相空间表象框架下,获得了用于模拟Bose-Einstein凝聚态的吸引性非线性Schrdinger方程的严格解.所得到的本征函数可通过"类Fourier"投影变换分别投影到位移空间和动量空间中去,从而得到相应空间中的本征函数.作为例子,探讨了一类带有双曲函数的本征解的性质.Within the framework of the quantum phase-space representation established by Torres-Vega and Frederick, the rigorous solutions of attractive nonlinear Schrǒdinger equation are solved, which models the Bose-Einstein condensate. The eigenfunctions in position and momentum spaces can be 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：非线性方程 相空间 BOSE-EINSTEIN凝聚 吸引性相互作用 

分 类 号：O413[理学—理论物理]