Bound states of the system of two fermions on the three-dimensional lattice

被引：0

作者：

Abdullayev, Janikul ^{[1
]}

Mamirov, Berdiyor ^{[1
]}

机构：

[1] Samarkand State Univ, Samarkand, Uzbekistan

来源：

ALGEBRA, ANALYSIS AND QUANTUM PROBABILITY | 2016年 / 697卷

关键词：

D O I：

10.1088/1742-6596/697/1/012022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the Hamiltonian of the system of two fermions on the three-dimensional lattice Z(3) is considered. Under some conditions to the potential, it is proven that H(k) has four invariant subspaces: in one of them H(k) coincides with H-0(k) and the restrictions of H(k) to the rests three subspaces are unitarily equivalent to each other. Moreover, for the eigenvalues and eigenfunctions of these restricted operators explicit expressions are found.

引用

页数：9

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