Geodesic
Finiteness of the discrete spectrum in the quantum $n$-particle problem
Teoretičeskaâ i matematičeskaâ fizika, Tome 21 (1974) no. 1, pp. 60-73

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Sufficient conditions are found for the finiteness of the discrete spectrum of the energy operators of quantum many-particle systems in spaces of functions of given symmetry. These conditions enable one in many cases to reduce the problem of the finiteness of the discrete spectrum of the energy operator of a many-particle system to the analogous problem for a two-particle system. 
@article{TMF_1974_21_1_a5,
     author = {G. M. Zhislin},
     title = {Finiteness of the discrete spectrum in the quantum $n$-particle problem},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {60--73},
     publisher = {mathdoc},
     volume = {21},
     number = {1},
     year = {1974},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1974_21_1_a5/}
}
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G. M. Zhislin. Finiteness of the discrete spectrum in the quantum $n$-particle problem. Teoretičeskaâ i matematičeskaâ fizika, Tome 21 (1974) no. 1, pp. 60-73. http://geodesic.mathdoc.fr/item/TMF_1974_21_1_a5/