This article is cited in 6 papers

On the discrete spectrum of the energy operator of one- and two-dimensional quantum three-particle systems

S. A. Vugal'ter, G. M. Zhislin


Abstract: 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.

Received: 19.04.1982

 English version: Theoretical and Mathematical Physics, 1983, 55:2, 493–502

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