ON OF THE DISCRETE SPECTRUM OF THE HAMILTONIAN AN n-PARTICLE QUANTUM SYSTEM

Sufficient conditions are obtained for the discrete spectrum of the energy operator of an n-particle system to be finite in the space of functions of given permutational and rotational symmetry. It is shown that under the same conditions the boundary of the continuous spectrum cannot be an eigenvalue of infinite multiplicity. For application of the basic theorem, the eigenvalues of the Schrodinger operator are investigated as functions of the coupling constant.