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Mathematics of the USSR-Sbornik, 1990, Volume 65, Issue 1, Pages 147–184
DOI: https://doi.org/10.1070/SM1990v065n01ABEH001308 (Mi sm1781) 		 
This article is cited in 9 scientific papers (total in 9 papers)

The theory of extentions and zero-radius potentials with internal structure

B. S. Pavlov, A. A. Shushkov
English version PDF (1641 kB) Citations (9)
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DOI: https://doi.org/10.1070/SM1990v065n01ABEH001308
Abstract: A detailed spectral analysis is carried out for the Schrödinger operator with zero-radius potentials endowed with internal structure. Explicit expressions are obtained for the resolvents and spectral projections in the case when the internal operators are compact. The corresponding scattering problem is solved.
Bibliography: 22 titles.
Received: 29.12.1987
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1988, Volume 137(179), Number 2(10), Pages 147–183
Bibliographic databases:
UDC: 517.584
MSC: 35J10, 35P25, 81F10
Language: English
Original paper language: Russian
Citation: B. S. Pavlov, A. A. Shushkov, “The theory of extentions and zero-radius potentials with internal structure”, Mat. Sb. (N.S.), 137(179):2(10) (1988), 147–183; Math. USSR-Sb., 65:1 (1990), 147–184
Citation in format AMSBIB
\Bibitem{PavShu88}
\by B.~S.~Pavlov, A.~A.~Shushkov
\paper The theory of extentions and zero-radius potentials with internal structure
\jour Mat. Sb. (N.S.)
\yr 1988
\vol 137(179)
\issue 2(10)
\pages 147--183
\mathnet{http://mi.mathnet.ru/sm1781}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=971692}
\zmath{https://zbmath.org/?q=an:0709.47046}
\transl
\jour Math. USSR-Sb.
\yr 1990
\vol 65
\issue 1
\pages 147--184
\crossref{https://doi.org/10.1070/SM1990v065n01ABEH001308}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Russian version PDF:154
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    References:51
     
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