Asymtotic of the Discrete Spectrum of the Three-Particle Schrödinger Operator on a One-Dimensional Lattice

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.

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