数学物理学报(英文版)

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MATHEMATICAL ANALYSIS OF THE COLLAPSE IN BOSE-EINSTEIN CONDENSATE

李晓光;张健;吴永光   

  1. 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. 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: 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 tT. 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 tT. 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