The point spectrum of the three-particle Schro<spacing diaeresis>dinger operator for a system compris-ing two identical bosons and one fermion on Z

A BSTRACT We consider the Hamiltonian of a system of three quantum particles (two identical bosons and a fermion) on the one-dimensional lattice interacting by means of zero-range attractive or repulsive potentials. We investigate the point spectrum of the three-particle discrete Schro<spacing diaeresis>dinger operator H ( K ) , K is an element of T which possesses infinitely many eigenvalues depending on repulsive or attractive interactions, under the assumption that the bosons in the system have infinite mass.