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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1976 Volume 40, Issue 4, Pages 908–948 (Mi im2214)

This article is cited in 17 papers

On the point spectrum in the quantum-mechanical many-body problem

D. R. Yafaev


Abstract: The paper gives a complete formulation and proof of a number of assertions regarding the point spectrum of the Schrödinger operator of a many-particle system announced earlier by the author. In particular, conditions that the discrete spectrum of this operator be finite are obtained. The results of the work are applicable to certain specific quantum systems, for example, to univalent negative atomic ions and to diatomic molecules.
Bibliography: 20 titles.

UDC: 517.4+517.9

MSC: Primary 81A81, 35J10; Secondary 35P25

Received: 18.12.1974


 English version:
Mathematics of the USSR-Izvestiya, 1976, 10:4, 861–896

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