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Teoreticheskaya i Matematicheskaya Fizika, 1984, Volume 59, Number 3, Pages 345–353 (Mi tmf4994)  
This article is cited in 91 scientific papers (total in 91 papers)

Model of a zero-range potential with internal structure

B. S. Pavlov
Full-text PDF (1033 kB) Citations (91)
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Abstract: A zero-range potential with internal structure is constructed using the methods of the theory of extensions from the space $L_2(\mathbb R^3)$ to the larger Hilbert space $L_2(\mathbb R^3)\oplus H$. A spectral analysis of a Schrödinger operator with such a potential is made; the S matrix is investigated and shown to be nontrivial in the $s$ channel; and the eigenvalues and resonances are calculated for small coupling constants.
Received: 24.10.1983
English version:
Theoretical and Mathematical Physics, 1984, Volume 59, Issue 3, Pages 544–550
DOI: https://doi.org/10.1007/BF01018192
Bibliographic databases:
Language: Russian
Citation: B. S. Pavlov, “Model of a zero-range potential with internal structure”, TMF, 59:3 (1984), 345–353; Theoret. and Math. Phys., 59:3 (1984), 544–550
Citation in format AMSBIB
\Bibitem{Pav84}
\by B.~S.~Pavlov
\paper Model of a zero-range potential with internal structure
\jour TMF
\yr 1984
\vol 59
\issue 3
\pages 345--353
\mathnet{http://mi.mathnet.ru/tmf4994}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=759525}
\transl
\jour Theoret. and Math. Phys.
\yr 1984
\vol 59
\issue 3
\pages 544--550
\crossref{https://doi.org/10.1007/BF01018192}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1984TY74200002}
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  • https://www.mathnet.ru/eng/tmf/v59/i3/p345
    • This publication is cited in the following 91 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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    References:76
    First page:1
     
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