THE NUMBER OF EIGENVALUES OF THE DISCRETE SCHRÖDINGER OPERATOR
Keywords:
Schrödinger operator, essential spectrum, one-dimensional latticeAbstract
In this paper we consider the family of Schrödinger 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.
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References
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S.N.Lakaev , I.U.Alladustova:The exact number of eigenvalues of the discrete Schr"odinger operators in one-dimensional case, Lobachevskii Journal of Mathematics, 42 (6), (2021),1294-1303.
