Geodesic
On the infiniteness of the discrete spectrum of the energy operator of a system of $n$ particles
Sbornik. Mathematics, Tome 28 (1976) no. 1, pp. 27-39 
M. A. Antonets; G. M. Zhislin; I. A. Shereshevskii. On the infiniteness of the discrete spectrum of the energy operator of a system of $n$ particles. Sbornik. Mathematics, Tome 28 (1976) no. 1, pp. 27-39. http://geodesic.mathdoc.fr/item/SM_1976_28_1_a1/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The Hamiltonian $H$ of a quantum system of $n$ particles is considered in spaces of functions that are transformed by multiple irreducible representations of a symmetry group of $H$, namely the direct product of the symmetric group by an arbitrary compact subgroup of the full rotation group. Sufficient conditions are found for the discrete spectrum of $H$ to be infinite. The results obtained permit one in many cases to reduce this problem to that for an operator of a two-particle system. Bibliography: 18 titles.

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