THE COUPLING CONSTANT THRESHOLD EFFECTS FOR ONE-PARTICLE SCHRÖDINGER-TYPE OPERATORS IN LATTICE

被引：0

作者：

Almuratov, Firdavs ^{[1
]}

Sharipov, Xurshid ^{[1
]}

Alimov, Salokhiddin ^{[1
]}

机构：

[1] Natl Univ Uzbekistan, Dept Appl Math, Jizzakh branch, Sh Rashidov Ave, 259, Jizzakh 130100, Uzbekistan

来源：

JOURNAL OF GEOMETRY AND SYMMETRY IN PHYSICS | 2024年 / 68卷

关键词：

Asymptotics; asymptotic behaviour; eigenvalue; essential spectrum; potential; EIGENVALUE;

D O I：

10.7546/jgsp-68-2024-1-19

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigate the threshold effects self-adjoint bounded discrete Schr & ouml;dinger-typeoperators in the Hilbert space of square-summable complex-valued functions de-fined on thed-dimensional lattice and establish the existence of eigenvalues andtheir asymptotics at coupling constant threshold.

引用

页码：1 / 19

页数：19

共 4 条

[1] On The Discrete Spectra of Schrödinger-Type Operators on one Dimensional Lattices
S. N. Lakaev
A. T. Boltaev
F. M. Almuratov
Lobachevskii Journal of Mathematics, 2022, 43 : 770 - 783
[2] Threshold Phenomena in the Spectrum of the Two-Particle Schrödinger Operator on a Lattice
S. N. Lakaev
A. T. Boltaev
Theoretical and Mathematical Physics, 2019, 198 : 363 - 375
[3] Spectrum of the three-particle Schrödinger operator on a one-dimensional lattice
M. É. Muminov
N. M. Aliev
Theoretical and Mathematical Physics, 2012, 171 : 754 - 768
[4] Asymtotic of the Discrete Spectrum of the Three-Particle Schrödinger Operator on a One-Dimensional Lattice
N. M. Aliev
Lobachevskii Journal of Mathematics, 2023, 44 : 491 - 501

← 1 →