Asymtotic of the Discrete Spectrum of the Three-Particle Schrödinger Operator on a One-Dimensional Lattice
N. M. AlievTashkent State University of Economics, 100066, Tashkent, Uzbekistan
ABI
Abstract
We consider the Schrödinger operator corresponding to the Hamiltonian of a system of three arbitrary particles on the one-dimensional lattice. The particles interact pairwise via zero-range (contact) attractive potentials. It is shown that the discrete spectrum of the Schrödinger operator is infinite. Asymptotics of these eigenvalues are found.