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Matematicheskie Zametki, 1970, Volume 8, Issue 2, Pages 217–228 (Mi mzm9598)  
This article is cited in 1 scientific paper (total in 1 paper)

Scattering at a strongly singular potential

V. V. Kucherenko

M. V. Lomonosov Moscow State University
Full-text PDF (1331 kB) Citations (1)
Abstract: Hilbert's equation for the resolvent and the maximum principle for the equation $-\Delta u+V(x)u=0$ is used to construct a self-adjoint extension of the operator $-\Delta+V(x)$ with a positive singular potential $V(x)$. The properties of this operator are investigated.
Received: 23.01.1969
English version:
Mathematical Notes, 1970, Volume 8, Issue 2, Pages 593–599
DOI: https://doi.org/10.1007/BF01093406
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: V. V. Kucherenko, “Scattering at a strongly singular potential”, Mat. Zametki, 8:2 (1970), 217–228; Math. Notes, 8:2 (1970), 593–599
Citation in format AMSBIB
\Bibitem{Kuc70}
\by V.~V.~Kucherenko
\paper Scattering at a strongly singular potential
\jour Mat. Zametki
\yr 1970
\vol 8
\issue 2
\pages 217--228
\mathnet{http://mi.mathnet.ru/mzm9598}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=279634}
\zmath{https://zbmath.org/?q=an:0204.12103|0208.13601}
\transl
\jour Math. Notes
\yr 1970
\vol 8
\issue 2
\pages 593--599
\crossref{https://doi.org/10.1007/BF01093406}
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  • https://www.mathnet.ru/eng/mzm/v8/i2/p217
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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