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Mathematics of the USSR-Izvestiya, 1969, Volume 3, Issue 3, Pages 559–616
DOI: https://doi.org/10.1070/IM1969v003n03ABEH000792 (Mi im2162) 		 
This article is cited in 21 scientific papers (total in 21 papers)

Spectrum of differential operators of quantum-mechanical many-particle systems in spaces of functions of a given symmetry

G. M. Zhislin
English version PDF (2315 kB) Citations (21)
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DOI: https://doi.org/10.1070/IM1969v003n03ABEH000792
Abstract: The energy operator of a molecule-type system is investigated in the spaces of functions of given permutational, rotational, and reflection symmetry; a necessary and sufficient condition is found for the existence of a discrete spectrum and the limit spectrum is determined. In addition, the existence is proved of an infinite sequence of points of the discrete spectrum of an atom when allowance is made for the motion of the nucleus.
Received: 30.10.1967
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1969, Volume 33, Issue 3, Pages 590–649
Bibliographic databases:
UDC: 519.4
Language: English
Original paper language: Russian
Citation: G. M. Zhislin, “Spectrum of differential operators of quantum-mechanical many-particle systems in spaces of functions of a given symmetry”, Izv. Akad. Nauk SSSR Ser. Mat., 33:3 (1969), 590–649; Math. USSR-Izv., 3:3 (1969), 559–616
Citation in format AMSBIB
\Bibitem{Zhi69}
\by G.~M.~Zhislin
\paper Spectrum of differential operators of quantum-mechanical many-particle systems in spaces of functions of a~given symmetry
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1969
\vol 33
\issue 3
\pages 590--649
\mathnet{http://mi.mathnet.ru/im2162}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=266545}
\zmath{https://zbmath.org/?q=an:0182.18701|0205.14503}
\transl
\jour Math. USSR-Izv.
\yr 1969
\vol 3
\issue 3
\pages 559--616
\crossref{https://doi.org/10.1070/IM1969v003n03ABEH000792}
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  • https://www.mathnet.ru/eng/im/v33/i3/p590
    • This publication is cited in the following 21 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
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    Abstract page:691
    Russian version PDF:183
    English version PDF:26
    References:76
    First page:1
     
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