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Teoreticheskaya i Matematicheskaya Fizika, 1980, Volume 42, Number 1, Pages 45–49 (Mi tmf3720)  
This article is cited in 21 scientific papers (total in 21 papers)

Strongly singular potentials in three-dimensional quantum mechanics

Yu. M. Shirokov
Full-text PDF (626 kB) Citations (21)
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Abstract: Three-dimensional generalization is obtained for the method proposed in [1] for deriving the one-dimensional Schrödinger equations with strongly singular potentials and positive metric. Exactly solvable examples are presented for renormalizable as well as nonrenormalizable potentials. The generalization is based on the algebra of the threedimensional generalized functions which was constructed in [2].
Received: 16.04.1979
English version:
Theoretical and Mathematical Physics, 1980, Volume 42, Issue 1, Pages 28–31
DOI: https://doi.org/10.1007/BF01019256
Bibliographic databases:
Language: Russian
Citation: Yu. M. Shirokov, “Strongly singular potentials in three-dimensional quantum mechanics”, TMF, 42:1 (1980), 45–49; Theoret. and Math. Phys., 42:1 (1980), 28–31
Citation in format AMSBIB
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\by Yu.~M.~Shirokov
\paper Strongly singular potentials in~three-dimensional quantum mechanics
\jour TMF
\yr 1980
\vol 42
\issue 1
\pages 45--49
\mathnet{http://mi.mathnet.ru/tmf3720}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=561002}
\transl
\jour Theoret. and Math. Phys.
\yr 1980
\vol 42
\issue 1
\pages 28--31
\crossref{https://doi.org/10.1007/BF01019256}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1980KA96200005}
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  • https://www.mathnet.ru/eng/tmf/v42/i1/p45
    • This publication is cited in the following 21 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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    Abstract page:352
    Full-text PDF :132
    References:35
    First page:2
     
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