On the finiteness of the discrete spectrum of Hamiltonians for quantum systems of three one- or two-dimensional particles |
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| Authors: | S. A. Vugalter G. M. Zhislin |
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| Affiliation: | (1) Steklov Institute of Mathematics, Fontanka 27, 191011 St. Petersburg, Russia;(2) Radiophysical Research Institute, Lyadov St 25/14, 603600 N. Novgorod, Russia |
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| Abstract: | The system of three particles (acting in K dimensions (K=1, 2)) without stable two-particle subsystems is studied. For short-range potentials Vij(rij), the finiteness of the discrete spectrum is proved for any type of permutational symmetry. |
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| Keywords: | 81V10 |
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