Ground states of spin-1 BEC with attractive mean-field interaction trapped in harmonic potential in R2

被引：0

作者：

Kong, Yuzhen ^{[1
]}

Wang, Qingxuan ^{[2
]}

Zhao, Dun ^{[1
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China

[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2021年 / 60卷 / 04期

关键词：

35J50; 35Q40; 35Q55; BOSE-EINSTEIN CONDENSATION; NONLINEAR SCHRODINGER-EQUATIONS; POSITIVE SOLUTIONS; MASS CONCENTRATION; EXISTENCE; UNIQUENESS; SYMMETRY; SYSTEMS; SPIKES;

D O I：

10.1007/s00526-021-02015-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the ground states of spin-1 Bose-Einstein condensate trapped in harmonic potential in R2 with attractive mean-field interaction constant c0 and spin-exchange interaction constant c1, two conserved quantities, the number of atoms N and the total magnetization M are involved in. The existence and nonexistence of the ground states have been analyzed according to the relations among c0, c1 and M. As (c0, c1) approaches the thresholds, the asymptotic behavior of the ground states are presented in details, and the energy estimates, mass concentration and vanishing phenomena are described rigorously.

引用

页数：43