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Teoreticheskaya i Matematicheskaya Fizika, 1971, Volume 7, Number 3, Pages 332–341 (Mi tmf4315)  

This article is cited in 53 scientific papers (total in 53 papers)

On the finiteness of the discrete spectrum of the energy operator of negative atomic and molecular ions

G. M. Zhislin
References:
Abstract: Let $H$ be the energy operator of an atom with $n$ electrons in which allowance is made for the motion of the nucleus or the energy operator of $n$ electrons in the field of $n_0$ fixed nuclei. It is shown that in the space of functions defined by an arbitrary irreducible representation of the symmetry group of $H$ the number of discrete eigenvalues of $H$ cannot be infinite if the total charge of the system is less than –1 (in atomic units). Previously, a similar result was known only for $n=2$.
Received: 20.08.1970
English version:
Theoretical and Mathematical Physics, 1971, Volume 7, Issue 3, Pages 571–578
DOI: https://doi.org/10.1007/BF01032076
Bibliographic databases:
UDC: `
Language: Russian
Citation: G. M. Zhislin, “On the finiteness of the discrete spectrum of the energy operator of negative atomic and molecular ions”, TMF, 7:3 (1971), 332–341; Theoret. and Math. Phys., 7:3 (1971), 571–578
Citation in format AMSBIB
\Bibitem{Zhi71}
\by G.~M.~Zhislin
\paper On the finiteness of the discrete spectrum of the energy operator of negative atomic and molecular ions
\jour TMF
\yr 1971
\vol 7
\issue 3
\pages 332--341
\mathnet{http://mi.mathnet.ru/tmf4315}
\zmath{https://zbmath.org/?q=an:0212.15703}
\transl
\jour Theoret. and Math. Phys.
\yr 1971
\vol 7
\issue 3
\pages 571--578
\crossref{https://doi.org/10.1007/BF01032076}
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  • https://www.mathnet.ru/eng/tmf/v7/i3/p332
  • This publication is cited in the following 53 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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