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Mathematics of the USSR-Izvestiya, 1976, Volume 10, Issue 4, Pages 861–896
DOI: https://doi.org/10.1070/IM1976v010n04ABEH001819
(Mi im2214)
 

This article is cited in 17 scientific papers (total in 17 papers)

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

D. R. Yafaev
References:
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.
Received: 18.12.1974
Bibliographic databases:
UDC: 517.4+517.9
MSC: Primary 81A81, 35J10; Secondary 35P25
Language: English
Original paper language: Russian
Citation: D. R. Yafaev, “On the point spectrum in the quantum-mechanical many-body problem”, Math. USSR-Izv., 10:4 (1976), 861–896
Citation in format AMSBIB
\Bibitem{Yaf76}
\by D.~R.~Yafaev
\paper On the point spectrum in the quantum-mechanical many-body problem
\jour Math. USSR-Izv.
\yr 1976
\vol 10
\issue 4
\pages 861--896
\mathnet{http://mi.mathnet.ru//eng/im2214}
\crossref{https://doi.org/10.1070/IM1976v010n04ABEH001819}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=757761}
\zmath{https://zbmath.org/?q=an:0344.35024}
Linking options:
  • https://www.mathnet.ru/eng/im2214
  • https://doi.org/10.1070/IM1976v010n04ABEH001819
  • https://www.mathnet.ru/eng/im/v40/i4/p908
  • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:323
    Russian version PDF:90
    English version PDF:11
    References:62
    First page:1
     
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