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
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Аннотация
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.
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