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吸引玻色爱因斯坦凝聚的坍塌性质 被引量：8

Collapse of Attractive Bose-Einstein Condensation
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摘要 研究描述吸引玻色 爱因斯坦凝聚的Gross Pitaevskii(GP)方程,在数学上又称为带调和势的非线性Schr dinger方程iΦt=-12｜x｜2Φ-a｜Φ｜qΦ-b｜Φ｜pΦ,这里a,b>0是定参数,1<q<p2ΔΦ+1<n+2n-2,n>2.参考R.T.Glassey(JMathPhys,1977,18:1794～1797.)的结果,运用能量方法得到了方程在高维空间中的坍塌性质. In this paper, we deal with the Gross-Pitaevskii(GP) equation:iΦ_t=-12ΔΦ+12|x|~2Φ-a|Φ|~qΦ-b|Φ|~pΦ, where a,b are constant parameters, 1<q<p,n>2. The equation is also called Schrdinger equation with harmonic potential and used to describe attractive Bose-Einstein condensation. The collapse of the equation in higher dimension space is obtained by referring to the results of R.T.Glassey (J Math Phys,1977,18:1794～1797.) and by making use of energy method.
作者 舒级 张健
机构地区 四川师范大学数学与软件科学学院
出处 《四川师范大学学报（自然科学版）》 CAS CSCD 2004年第4期331-334,共4页 Journal of Sichuan Normal University（Natural Science）
基金 国家自然科学基金(10271084) 四川省杰出青年学科带头人基金资助项目
关键词 吸引玻色-爱因斯坦凝聚 GROSS-PITAEVSKII方程 调和势 非线性Schrfidinger方程 坍塌 Attractive Bose-Einstein Condensation Gross-Pitaevskii equation Harmonic potential Nonlinear Schrdinger equation Collapse
分类号 O175.24 [理学—基础数学]
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参考文献29

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二级参考文献79

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共引文献51

同被引文献103

引证文献8

二级引证文献11

四川师范大学学报（自然科学版）
2004年 第4期

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