Spectral properties of a Hamiltonian of a four-particle system on a lattice
M. I. MuminovSamarkand State University, Universitetskii bul’v. 15, Samarkand, 140101, Republic of UzbekistanU. R. ShodievSamarkand State University, Universitetskii bul’v. 15, Samarkand, 140101, Republic of Uzbekistan
ABI
Abstract
We consider the Hamiltonian of a system of four arbitrary quantum particles with two-particle contact (noncompact) interaction potentials on a three-dimensional lattice perturbed by three-particle contact potentials. We describe the location of the essential spectrum of the Schrödinger operator corresponding to a four-particle system.