On the Discrete Spectrum of the Three-Particle Schrödinger Operator on a Two-Dimensional Lattice
Zahriddin MuminovTashkent State University of Economics, 100066, Tashkent, UzbekistanN. M. AlievNational University of Uzbekistan, 100174, Tashkent, UzbekistanTirkash RadjabovSamarkand State University, Faculty of Mathematics, 140104, Samarkand, Uzbekistan
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Annotatsiya
We consider Schrödinger operator corresponding to the Hamiltonian of a system of three arbitrary particles on the two-dimensional lattice, where the particles interact pairwise via zero-range (contact) attractive potentials. We prove that the discrete spectrum of the Schrödinger operator is infinite, if the masses of two particles in a three-particle system are infinite.
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