Geodesic
On the discrete spectrum of the energy operator of one- and two-dimensional quantum three-particle systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 2, pp. 269-281 
S. A. Vugal'ter; G. M. Zhislin. On the discrete spectrum of the energy operator of one- and two-dimensional quantum three-particle systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 2, pp. 269-281. http://geodesic.mathdoc.fr/item/TMF_1983_55_2_a10/
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     title = {On the discrete spectrum of the energy operator of one- and two-dimensional quantum three-particle systems},
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Voir la notice de l'article provenant de la source Math-Net.Ru

For the energy operator of a system of three one-dimensional or two-dimeasional quantum particles conditions are found under which the discrete spectrum is finite in spaces of functions of given symmetry. It follows from the obtained results in particular that the Efimov effect is absent for the considered systems.

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