Quasilevels of a two-particle Schrodinger operator with a perturbed periodic potential

被引：1
|
作者：
Chuburin, Yu. P. [1 ]
机构：
[1] RAS, Ural Branch, Phys Tech Inst, Izhevsk, Russia
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 2009年 / 158卷 / 01期
关键词：
two-particle Schrodinger operator; periodic potential; eigenvalue; resonance;
D O I：
10.1007/s11232-009-0007-5
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider a two-dimensional periodic Schrodinger operator perturbed by the interaction potential of two one-dimensional particles. We prove that quasilevels (i.e., eigenvalues or resonances) of the given operator exist for a fixed quasimomentum and a small perturbation near the band boundaries of the corresponding periodic operator. We study the asymptotic behavior of the quasilevels as the coupling constant goes to zero. We obtain a simple condition for a quasilevel to be an eigenvalue.
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收藏
页码：96 / 104
页数：9
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