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Mathematics of the USSR-Sbornik, 1989, Volume 62, Issue 2, Pages 551–566
DOI: https://doi.org/10.1070/SM1989v062n02ABEH003254 (Mi sm3026) 		 
This article is cited in 6 scientific papers (total in 8 papers)

On an estimate of the number of points of the negative spectrum of the Schrödinger operator

Yu. V. Egorov, V. A. Kondrat'ev
English version PDF (556 kB) Citations (8) Russian version article
References:
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DOI: https://doi.org/10.1070/SM1989v062n02ABEH003254
Abstract: Conditions are obtained on the potential $V$ of the Schrödinger operator $-\Delta-V(x)$ under which the negative spectrum of this operator consists of no more than $N$ eigenvalues. In many cases these conditions are sharp. All proofs are presented in their entirety and are completely elementary.
Bibliography: 8 titles.
Received: 08.12.1986
Bibliographic databases:
UDC: 517.9
MSC: 35J10, 35P20
Language: English
Original paper language: Russian
Citation: Yu. V. Egorov, V. A. Kondrat'ev, “On an estimate of the number of points of the negative spectrum of the Schrödinger operator”, Math. USSR-Sb., 62:2 (1989), 551–566
Citation in format AMSBIB
\Bibitem{EgoKon87}
\by Yu.~V.~Egorov, V.~A.~Kondrat'ev
\paper On an estimate of the number of points of the negative spectrum of the Schr\"odinger operator
\jour Math. USSR-Sb.
\yr 1989
\vol 62
\issue 2
\pages 551--566
\mathnet{http://mi.mathnet.ru//eng/sm3026}
\crossref{https://doi.org/10.1070/SM1989v062n02ABEH003254}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=933703}
\zmath{https://zbmath.org/?q=an:0669.35086}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:398
    Russian version PDF:167
    English version PDF:23
    References:71
     
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