Article

THE NUMBER OF EIGENVALUES OF THE DISCRETE SCHRÖDINGER OPERATOR

M. O. AkhmadovaInstitute of Mathematics of the Academy of Sciences of the Republic of Uzbekistan

2023en

ABI

Abstract

In this paper we consider the family of Schrdinger operators, associated to the Bose-Hubbard Hamiltonian of a single boson on the one dimensional lattice . We find suffiently conditions for the parameters , such that the operator has no one eigenvalues below the essential spectrum and three eigenvalues above the essential spectrum.

Topics

Spectral Theory in Mathematical Physics Quantum chaos and dynamical systems Quantum optics and atomic interactions

Identifiers

DOI: 10.59251/2181-1296.2023.v3.139.2.2192

Citations and references

Cited by 03 references

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