Analytical Solutions for the Two-Dimensional Gross-Pitaevskii Equation with a Harmonic Trap  

作　　者：石玉仁 王雪玲 王光辉 刘丛波 杨红娟 

机构地区：[1]College of Physics and Electronic Engineering,Northwest Normal University

出　　处：《Communications in Theoretical Physics》2013年第3期273-278,共6页理论物理通讯（英文版）

基　　金：Supported by the National Natural Science Foundation under Grant No. 11047010

摘　　要：Both the homotopy analysis method and Galerkin spectral method are applied to find the analytical solutions of the two-dimensional and time-independent Gross-Pitaevskii equation, a nonlinear Schrodinger equation used in describing the system of Bose-Einstein condensates trapped in a harmonic potential. The approximate analytical solutions are obtained successfully. Comparisons between the analytical solutions and the numerical solutions have been made. The results indicate that they are agreement very well with each other when the atomic interaction is not too strong.

关 键 词：Gross-Pitaevskii equation homotopy analysis method analytical solution 

分 类 号：O241.82[理学—计算数学]