The number of eigenvalues of the two-particle discrete Schrodinger operator

被引：5

作者：

Lakaev, S. N. ^{[1
]}

Khalkhuzhaev, A. M. ^{[2
]}

机构：

[1] Samarkand State Univ, Samarkand, Uzbekistan

[2] Acad Sci Uzbek, Samarkand Branch, Complex Sci Res Inst Reg Problems, Samarkand, Uzbekistan

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2009年 / 158卷 / 02期

关键词：

Hamiltonian; two-particle discrete Schrodinger operator; quasimomentum; essential spectrum; virtual level; eigenvalue; Fredholm determinant;

D O I：

10.1007/s11232-009-0018-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the two-particle discrete Schrodinger operator associated with the Hamiltonian of a system of two particles (fermions) interacting only at the nearest neighbor sites. We find the number and the location of the eigenvalues of this operator depending on the particle interaction energy, the system quasimomentum, and the dimension of the lattice a"currency sign (nu) , nu a parts per thousand yen 1.

引用

页码：221 / 232

页数：12

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