Work

On the Lower Spectrum of the Two-particle Discrete Schrödinger Operator

Year: 2025

Type: article

Abstract: In this paper, it is established that if the lower edge of the spectrum is an isolated point of the Schrodinger operator of a system of two particles on a lattice, then it is a simple eigenvalue and a strictly positive eigenvector corresponds to it, under certain conditions with respect to the dispersion functions and potential.

Source: Journal of Mathematical Sciences and Informatics

DOI: 10.46754/jmsi.2025.06.004

Authors: Utkir Kuljanov, Zabidin Salleh, Jovlon Kuljonov

Institutions: Samarkand State University named after Sharof Rashidov, Universiti Malaysia Terengganu

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4413959883

FWCI:

Cites: 6

Cited by:

Related to: 10