Application of the homotopy analysis method for the Gross-Pitaevskii equation with a harmonic trap  

作　　者：石玉仁 刘丛波 王光辉 周志刚 

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

出　　处：《Chinese Physics B》2012年第12期88-93,共6页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant No.11047010);the Key Project Foundation of the Education Ministry of China(Grant No.209128)

摘　　要：The Homotopy analysis method （HAM） is adopted to find the approximate analytical solutions of the Gross- Pitaevskii equation, a nonlinear Schrodinger equation is used in simulation of Bose-Einstein condensates trapped in a harmonic potential. Comparisons between the analytical solutions and the numerical solutions have been made. The results indicate that they fit very well with each other when the atomic interaction is weak.The Homotopy analysis method （HAM） is adopted to find the approximate analytical solutions of the Gross- Pitaevskii equation, a nonlinear Schrodinger equation is used in simulation of Bose-Einstein condensates trapped in a harmonic potential. Comparisons between the analytical solutions and the numerical solutions have been made. The results indicate that they fit very well with each other when the atomic interaction is weak.

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

分 类 号：O411.1[理学—理论物理]