This article is cited in 26 papers

Finiteness of the discrete spectrum in the quantum $n$-particle problem

G. M. Zhislin


Abstract: 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.

Received: 31.10.1973

 English version: Theoretical and Mathematical Physics, 1974, 21:1, 971–980

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