Solution of the ground state wave function of Bose-condensed gas in a harmonic trap based on the Gross-Pitaevskii function

CORC > 武汉物理与数学研究所 > 中国科学院武汉物理与数学研究所 > 2011年以前论文发表（包括2011年）

	Solution of the ground state wave function of Bose-condensed gas in a harmonic trap based on the Gross-Pitaevskii function
	Xu Zhi-Jun ; Shi Jian-Qing ; Li Zhen ; Cai Ping-Gen
刊名	ACTA PHYSICA SINICA
	2006-07-01
卷号	55 期号:7 页码:3265-3271
关键词	Bose-condensed gas G-P function harmonic trap ground state wave function
英文摘要	Based on the Gross-Pitaevskii (G-P) energy functional and variational method, we present a new method to find the ground state wave function for Bose-condensed gas in a harmonic trap at zero temperature. With this method we are able to find the analytic expression of ground state wave function and explore the relevant quantities, such as energy, chemical potential and so on. These results agree well with previous ground state numerical solutions of the G-P equation given by Dalfovo et al. Under the large number of particles N limit for repulsive interaction, our results and Thomas-Fermi approximation model approach to reaching unanimity. This new method is simple compared to other methods used to solve numerically the G-P equation, and one can obtained the analytic and reliable results.
WOS标题词	Science & Technology ; Physical Sciences
类目[WOS]	Physics, Multidisciplinary
研究领域[WOS]	Physics
关键词[WOS]	NONLINEAR SCHRODINGER-EQUATION ; EINSTEIN CONDENSATION ; NEUTRAL ATOMS ; MAGNETIC TRAP ; INTERFERENCE ; EVOLUTION ; VORTEX
收录类别	SCI
语种	英语
WOS记录号	WOS:000239068500012
公开日期	2015-07-28
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/4677]
专题	武汉物理与数学研究所_2011年以前论文发表（包括2011年）
作者单位	1.Zhejiang Univ Technol, Dept Appl Phys, Hangzhou 310032, Peoples R China 2.State Key Lab Magnet Resonance & Atom & Mol Phys, Wuhan 430071, Peoples R China
推荐引用方式 GB/T 7714	Xu Zhi-Jun,Shi Jian-Qing,Li Zhen,et al. Solution of the ground state wave function of Bose-condensed gas in a harmonic trap based on the Gross-Pitaevskii function[J]. ACTA PHYSICA SINICA,2006,55(7):3265-3271.
APA	Xu Zhi-Jun,Shi Jian-Qing,Li Zhen,&Cai Ping-Gen.(2006).Solution of the ground state wave function of Bose-condensed gas in a harmonic trap based on the Gross-Pitaevskii function.ACTA PHYSICA SINICA,55(7),3265-3271.
MLA	Xu Zhi-Jun,et al."Solution of the ground state wave function of Bose-condensed gas in a harmonic trap based on the Gross-Pitaevskii function".ACTA PHYSICA SINICA 55.7(2006):3265-3271.