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Teoreticheskaya i Matematicheskaya Fizika, 1988, Volume 74, Number 3, Pages 331–344 (Mi tmf4422)  
This article is cited in 36 scientific papers (total in 36 papers)

Quantum-mechanical models in $R_n$ associated with extensions of the energy operator in a Pontryagin space

Yu. G. Shondin
Full-text PDF (1615 kB) Citations (36)
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Abstract: The paper describes self-adjoint extensions of the operator $H_0=-\Delta$ from the Hilbert space $L_2(R_n)$ to a certain Pontryagin space generated by “interactions” represented by generalized functions. Hamiltonians of quantum-mechanical models are obtained by restricting such extensions to positive invariant subspaces.
Received: 25.11.1985
Revised: 01.10.1986
English version:
Theoretical and Mathematical Physics, 1988, Volume 74, Issue 3, Pages 220–230
DOI: https://doi.org/10.1007/BF01016615
Bibliographic databases:
Language: Russian
Citation: Yu. G. Shondin, “Quantum-mechanical models in $R_n$ associated with extensions of the energy operator in a Pontryagin space”, TMF, 74:3 (1988), 331–344; Theoret. and Math. Phys., 74:3 (1988), 220–230
Citation in format AMSBIB
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\by Yu.~G.~Shondin
\paper Quantum-mechanical models in~$R_n$ associated with extensions of the energy operator in a~Pontryagin space
\jour TMF
\yr 1988
\vol 74
\issue 3
\pages 331--344
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=953297}
\zmath{https://zbmath.org/?q=an:0685.46047}
\transl
\jour Theoret. and Math. Phys.
\yr 1988
\vol 74
\issue 3
\pages 220--230
\crossref{https://doi.org/10.1007/BF01016615}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1988U172700002}
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  • https://www.mathnet.ru/eng/tmf/v74/i3/p331
    • This publication is cited in the following 36 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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