数学
束缚态
薛定谔猫
基态
多重性(数学)
非线性系统
国家(计算机科学)
数学物理
上下界
纯数学
量子力学
数学分析
物理
算法
作者
Zhaoli Liu,Zhi–Qiang Wang
出处
期刊:Advanced Nonlinear Studies
[De Gruyter]
日期:2010-02-01
卷期号:10 (1): 175-193
被引量:114
标识
DOI:10.1515/ans-2010-0109
摘要
Abstract This paper concerns existence and multiplicity of ground states and bound states of the time-independent Schrödinger system where n = 2, 3, N ≥ 2, λ j > 0 for j = 1, ... , N, β jj > 0 for j = 1, ... , N, and β ij = β ji . In the attractive case we give sufficient condition for existence of co-existing ground states with large couplings, and in the repulsive case we prove existence of infinitely many co-existing bound state solutions with arbitrary couplings.
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