MATHEMATICAL ANALYSIS OF THE COLLAPSE IN BOSE-EINSTEIN CONDENSATE

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

数学物理学报(英文版)

MATHEMATICAL ANALYSIS OF THE COLLAPSE IN BOSE-EINSTEIN CONDENSATE

李晓光；张健；吴永光

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

收稿日期:2006-08-04 修回日期:2007-07-24 出版日期:2009-02-20 发布日期:2009-02-20
通讯作者: 李晓光
基金资助:
Supported by National Natural Science Foundation of China (10771151)

MATHEMATICAL ANALYSIS OF THE COLLAPSE IN BOSE-EINSTEIN CONDENSATE

Li Xiaoguang；Zhang Jian；Wu Yonghong

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

Received:2006-08-04 Revised:2007-07-24 Online:2009-02-20 Published:2009-02-20
Contact: Li Xiaoguang

摘要/Abstract

摘要： 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.

关键词: Nonlinear Schrö, dinger equation, attractive Bose-Einstein condensates, col-
lapse rate, L²-concentration

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

中图分类号:

35Q55

李晓光;张健;吴永光. MATHEMATICAL ANALYSIS OF THE COLLAPSE IN BOSE-EINSTEIN CONDENSATE[J]. 数学物理学报(英文版), 2009, 29(1): 56-64.

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.

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MATHEMATICAL ANALYSIS OF THE COLLAPSE IN BOSE-EINSTEIN CONDENSATE

MATHEMATICAL ANALYSIS OF THE COLLAPSE IN BOSE-EINSTEIN CONDENSATE

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