On the Mass Concentration for Bose-Einstein Condensates with Attractive Interactions

被引：185

作者：

Guo, Yujin ^{[1
]}

Seiringer, Robert ^{[2
]}

机构：

[1] Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China

[2] IST Austria, A-3400 Klosterneuburg, Austria

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2014年 / 104卷 / 02期

关键词：

Bose-Einstein condensation; attractive interactions; Gross-Pitaevskii functional; mass concentration; symmetry breaking; NONLINEAR SCHRODINGER-EQUATION; SYMMETRY-BREAKING; BOUND-STATES; POSITIVE SOLUTIONS; BIFURCATION; UNIQUENESS; COLLAPSE; VORTEX; GAS;

D O I：

10.1007/s11005-013-0667-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider two-dimensional Bose-Einstein condensates with attractive interaction, described by the Gross-Pitaevskii functional. Minimizers of this functional exist only if the interaction strength a satisfies , where Q is the unique positive radial solution of in . We present a detailed analysis of the behavior of minimizers as a approaches a*, where all the mass concentrates at a global minimum of the trapping potential.

引用

页码：141 / 156

页数：16

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