The infiniteness of the number of eigenvalues in the gap in the essential spectrum for the three-particle Schrödinger operator on a lattice

被引：0

作者：

M. E. Muminov

机构：

[1] Alisher Navoi Samarkand State University,

来源：

Theoretical and Mathematical Physics | 2009年 / 159卷

关键词：

three-particle system on a lattice; Schrödinger operator; essential spectrum; discrete spectrum; compact operator;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider a system of three arbitrary quantum particles on a three-dimensional lattice that interact via attractive pair contact potentials. We find a condition for a gap to appear in the essential spectrum and prove that there are infinitely many eigenvalues of the Hamiltonian of the corresponding three-particle system in this gap.

引用

页码：667 / 683

页数：16

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