Analytical Solutions to the Time-Independent Gross-Pitaevskii Equation with a Harmonic Trap  

作　　者：SHI Yu-Ren WANG Guang-Hui LIU Cong-Bo ZHOU Zhi-Gang YANG Hong-Juan 石玉仁;王光辉;刘丛波;周志刚;杨红娟(College of Physics and Electronic Engineering,Northwest Normal University,Lanzhou 730070)

机构地区：[1]College of Physics and Electronic Engineering,Northwest Normal University,Lanzhou 730070

出　　处：《Chinese Physics Letters》2012年第11期8-12,共5页中国物理快报（英文版）

基　　金：Supported by the National Natural Science Foundation under Grant No 11047010;the Key Project Foundation of the Education Ministry of China under Grant No 209128。

摘　　要：We try to find the analytical solutions to the time-independent Gross-Pitaevskii equation,a nonlinear Schrodinger equation used in the simulation of Bose–Einstein condensates trapped in a harmonic potential.Both the homotopy analysis method and the Galerkin spectral method are applied.We investigate the one-dimensional case and obtain the approximate analytical solutions successfully.Comparison between the analytical solutions and the numerical solutions has been made.The results indicate that they agree very well with each other when the atomic interaction is not too strong.

关 键 词：POTENTIAL EQUATION ANALYTICAL 

分 类 号：O17[理学—数学]