MATHEMATICAL ANALYSIS OF THE COLLAPSE IN BOSE-EINSTEIN CONDENSATE

Li Xiaoguang; Zhang Jian; Wu Yonghong

doi:10.1016/S0252-9602(09)60006-0

Acta mathematica scientia, Series B >

2009 , Vol. 29 >Issue 1: 56 - 64

DOI: https://doi.org/10.1016/S0252-9602(09)60006-0

Articles

MATHEMATICAL ANALYSIS OF THE COLLAPSE IN BOSE-EINSTEIN CONDENSATE

Li Xiaoguang ,
Zhang Jian ,
Wu Yonghong

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1.Software Laboratory, Sichuan Normal University, Chengdu 610066, China
2.College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, China

Received date: 2006-08-04

Revised date: 2007-07-24

Online published: 2009-02-20

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Abstract

In this article, the authors consider the collapse solutions of Cauchy problem
for the nonlinear Schrödinger equation i Ψ _t + 1/ 2 △ Ψ- 1 /2 ω²|x|² ψ+|ψ|²ψ = 0, x ∈ R², which models the Bose-Einstein condensate with attractive interactions. The authors establish the lower bound of collapse rate as t → T. Furthermore, the L²-concentration property of the radially symmetric collapse solutions is obtained.

Key words： Nonlinear Schrö; dinger equation; attractive Bose-Einstein condensates; col-
lapse rate; L²-concentration

Cite this article

Li Xiaoguang , Zhang Jian , Wu Yonghong . MATHEMATICAL ANALYSIS OF THE COLLAPSE IN BOSE-EINSTEIN CONDENSATE[J]. Acta mathematica scientia, Series B, 2009 , 29(1) : 56 -64 . DOI: 10.1016/S0252-9602(09)60006-0

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