Article

On negative eigenvalues of the discrete Schrödinger operator with non-local potential

Zahriddin MuminovSh. S. LakaevNational University of Uzbekistan: Mathematics and Natural Sciences

Bulletin of National University of Uzbekistan Mathematics and Natural Sciencesjournal2020en

ABI

Abstract

On the d-dimensional lattice 𝕋d, d= 1, 2 the discrete Schrödinger operator Hλµ with non-local potential constructed via the Dirac delta function and shift operator is considered. The dependency of negative eigenvalues of the operator on the parameters is explicitly derived.

Topics

Spectral Theory in Mathematical Physics Quantum Mechanics and Non-Hermitian Physics Numerical methods in inverse problems

Identifiers

DOI: 10.56017/2181-1318.1053

Citations and references

Cited by 20 references

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