Communications in Mathematical Physics

, Volume 87, Issue 1, pp 89–103

The symmetry and Efimov's effect in systems of three-quantum particles


  • S. A. Vugal'ter
    • Gorky State University
  • G. M. Zhislin
    • Radiophysical Research Institute

DOI: 10.1007/BF01211058

Cite this article as:
Vugal'ter, S.A. & Zhislin, G.M. Commun.Math. Phys. (1982) 87: 89. doi:10.1007/BF01211058


The finiteness of the discrete spectrum of three body Schrödinger operators restricted to certain symmetry subspaces is proved. The symmetry subspaces are those associated with nonzero angular momentum and those associated with two or three identical fermions.

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© Springer-Verlag 1982