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MATHEMATICAL ANALYSIS OF THE COLLAPSE IN BOSE-EINSTEIN CONDENSATE |
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| Authors: | Li Xiaoguang Zhang Jian Wu Yonghong |
| Institution: | Software Laboratory Sichuan Normal University College of Mathematics and Software Science Department of Mathematics and Statistics Curtin University of Technology |
| Abstract: | In this article, the authors consider the collapse solutions of Cauchy problem for the nonlinear Schrdinger equation iψt + 1/2 △ ψ - 1/2 ω2|x|2ψ + |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. |
| Keywords: | Nonlinear Schrodinger equation attractive Bose-Einstein condensates collapse rate L2-concentration |
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