The point spectrum of the three-particle Schro<spacing diaeresis>dinger operator for a system compris-ing two identical bosons and one fermion on Z

被引：0

作者：

Muminov, Zahriddin I. ^{[1
,2
]}

Aktamova, Vasila U. ^{[3
]}

机构：

[1] Tashkent State Univ Econ, Tashkent 100066, Uzbekistan

[2] Inst Math, Tashkent 100174, Uzbekistan

[3] Samarkand Inst Vet Med, Samarkand 140103, Uzbekistan

来源：

NANOSYSTEMS-PHYSICS CHEMISTRY MATHEMATICS | 2024年 / 15卷 / 04期

关键词：

Schro<spacing diaeresis>dinger operator; dispersion functions; zero-range pair potentials; discrete spectrum; essen- tial spectrum; SCHRODINGER OPERATOR; DISCRETE SPECTRUM; ASYMPTOTICS; EIGENVALUES; NUMBER;

D O I：

10.17586/2220-8054-2024-15-4-438-447

中图分类号：

TB3 [工程材料学];

学科分类号：

0805 ; 080502 ;

摘要：

A BSTRACT We consider the Hamiltonian of a system of three quantum particles (two identical bosons and a fermion) on the one-dimensional lattice interacting by means of zero-range attractive or repulsive potentials. We investigate the point spectrum of the three-particle discrete Schro<spacing diaeresis>dinger operator H ( K ) , K is an element of T which possesses infinitely many eigenvalues depending on repulsive or attractive interactions, under the assumption that the bosons in the system have infinite mass.

引用

页码：438 / 447

页数：10

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