%0 Journal Article
%T Exact solutions for nonlinear Schr?dinger equation in phase space: applications to Bose－Einstein condensate
%A 陆军
%J 中国物理 B
%D 2004
%I 
%X 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.
%K nonlinear
%K equation
%K phase
%K space
%K Bose－Einstein
%K condensate
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=CD8D6A6897B9334F09D8D1648C376FB4&aid=2541C795522C094A38F1404EC085348C&yid=D0E58B75BFD8E51C&vid=FC0714F8D2EB605D&iid=B31275AF3241DB2D&sid=A9C78B2A6AAEEAAD&eid=43AADF4B53A8BF6F&journal_id=1009-1963&journal_name=中国物理&referenced_num=0&reference_num=33