2024 The Coupling Constant Threshold Effects for One-Particle Schrödinger-Type Operators in Lattice
Firdavs Almuratov, Xurshid Sharipov, Salokhiddin Alimov
J. Geom. Symmetry Phys. 68: 1-19 (2024). DOI: 10.7546/jgsp-68-2024-1-19

Abstract

We investigate the threshold effects self-adjoint bounded discrete Schrödinger-type operators in the Hilbert space of square-summable complex-valued functions defined on the \(d\)-dimensional lattice and establish the existence of eigenvalues and their asymptotics at coupling constant threshold.

Citation

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Firdavs Almuratov. Xurshid Sharipov. Salokhiddin Alimov. "The Coupling Constant Threshold Effects for One-Particle Schrödinger-Type Operators in Lattice." J. Geom. Symmetry Phys. 68 1 - 19, 2024. https://doi.org/10.7546/jgsp-68-2024-1-19

Information

Published: 2024
First available in Project Euclid: 8 October 2024

Digital Object Identifier: 10.7546/jgsp-68-2024-1-19

Rights: Copyright © 2024 Bulgarian Academy of Sciences, Institute of Mechanics

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