Discrete spectrum asymptotics for the three-particle Hamiltonians on lattices

Sergio Albeverio, Saidakhmat N. Lakaev, Axmad M. Xalxo'jaev

We consider the Hamiltonian of a system of three quantum mechanical particles on the three-dimensional lattice ${\mathbb{Z}}^3$ interacting via short-range pair potentials. We prove for the…