ON THE NUMBER OF EIGENVALUES OF TWO-PARTICLE DISCRETE SCHRÖDINGER OPERATOR

Annotatsiya

In this paper we consider the family  of Schrödinger operators, associated to the Bose-Hubbard Hamiltonian of   a single boson on the two dimensional lattice  . We find suffiently conditions for the parameters , such that  the operator  has seven eigenvalues lying below or above the essential spectrum .