Finiteness of the discrete spectrum of the three-particle Schrodinger equation on a lattice

被引：14

作者：

Abdullaev, ZI

Lakaev, SN

机构：

[1] Samarkand State University, Samarkand

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 1997年 / 111卷 / 01期

关键词：

D O I：

10.1007/BF02634201

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Consideration is given to the Hamiltonian of a system of three identical quantum particles on a lattice that interact via pairwise contact attractive potentials. Finiteness of the three-particle bound states is proved for the three-dimensional discrete Schrodinger operator on the condition that the operators describing the two-particle subsystems have no virtual levels. For high dimensions (upsilon greater than or equal to 5), the finiteness of three-particle bound states is also proved in the presence of virtual levels.

引用

页码：467 / 479

页数：13

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