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On the Discrete Spectrum of the Three-Particle Schrödinger Operator on a Two-Dimensional Lattice

Zahriddin MuminovRomanovskii Institute of Mathematics, Academy of Sciences of Uzbekistan, 100174, Tashkent, UzbekistanN. M. AlievNational University of Uzbekistan, 100174, Tashkent, UzbekistanTirkash RadjabovSamarkand State University, Faculty of Mathematics, 140104, Samarkand, Uzbekistan

Lobachevskii Journal of Mathematicsjournal2022en

ABI

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.

Mavzular

Spectral Theory in Mathematical Physics advanced mathematical theories Differential Equations and Boundary Problems

Identifikatorlar

DOI: 10.1134/s1995080222140268

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