ON THE POINT SPECTRUM OF THE SCHRODINGER OPERATOR FOR A SYSTEM CONSISTING OF TWO IDENTICAL INFINITELY HEAVY BOSONS AND ONE LIGHT FERMION ON THE THREE-DIMENSIONAL LATTICE
We consider the Hamiltonian of a system of three quantum mechanical 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 Schrodinger
operator H(K); K 2 T which possesses infinitely many eigenvalues depending on repulsive or
attractive interactions, under the assumption that the bosons in the system have infinite mass.
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