Estimates on the number of eigenvalues of two-particle discrete Schrödinger operators

Sergio Albeverio, Saidakhmat N. Lakaev, Janikul I. Abdullaev

Two-particle discrete Schrödinger operators $H(k)=H_0(k)-V$ on the three-dimensional lattice ${\mathbb{Z}}^3,$ $k$ being the two-particle quasi-momentum, are considered. An estimate for th…