On the Number of Eigenvalues of the Lattice Model Operator in One-Dimensional Case.

Autor: Bozorov, I. N., Khurramov, A. M.
Zdroj: Lobachevskii Journal of Mathematics; Feb2022, Vol. 43 Issue 2, p353-365, 13p
Abstrakt: It is considered a model operator , corresponding to the Hamiltonian of systems of two arbitrary quantum particles on a one-dimensional lattice with a special dispersion function that describes the transfer of a particle from one site to another interacting by a some short-range attraction potential , . The number of eigenvalues of the operator depending on the energy of the particle interaction vector and the total quasi-momentum is studied. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index