Geodesic
On the finiteness of the discrete spectrum of the three-particle Schrödinger operator
Teoretičeskaâ i matematičeskaâ fizika, Tome 25 (1975) no. 2, pp. 185-195 
D. R. Yafaev. On the finiteness of the discrete spectrum of the three-particle Schrödinger operator. Teoretičeskaâ i matematičeskaâ fizika, Tome 25 (1975) no. 2, pp. 185-195. http://geodesic.mathdoc.fr/item/TMF_1975_25_2_a3/
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     author = {D. R. Yafaev},
     title = {On the finiteness of the discrete spectrum of the three-particle {Schr\"odinger} operator},
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     number = {2},
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}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The Schrödinger operator $H$ of a three-particle system with two-body interactions in considered. Under the assumptions that two-particle subsystems do not possess any negative eigenvalues and one of the subsystems has a virtual state at the lower bound of the continuous spectrum, the proof of the finiteness of discrete spectrum of operator $H$ is performed.

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