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Teoreticheskaya i Matematicheskaya Fizika, 1991, Volume 88, Number 1, Pages 59–65 (Mi tmf5775)  
This article is cited in 3 scientific papers (total in 3 papers)

Potentials that admit solution of the one-dimensional time-independent Schrödinger equation in terms of known functions

A. M. Goncharenko, V. A. Karpenko, V. N. Mogilevich
Full-text PDF (759 kB) Citations (3)
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Abstract: It is shown that thereexist only two five-parameter potentials that admit solution of the Schrödinger equation in hypergeometric functions. An analysis establishes the connection between these potentials and ones known in the literature.
Received: 09.07.1990
English version:
Theoretical and Mathematical Physics, 1991, Volume 88, Issue 1, Pages 715–720
DOI: https://doi.org/10.1007/BF01016338
Bibliographic databases:
Language: Russian
Citation: A. M. Goncharenko, V. A. Karpenko, V. N. Mogilevich, “Potentials that admit solution of the one-dimensional time-independent Schrödinger equation in terms of known functions”, TMF, 88:1 (1991), 59–65; Theoret. and Math. Phys., 88:1 (1991), 715–720
Citation in format AMSBIB
\Bibitem{GonKarMog91}
\by A.~M.~Goncharenko, V.~A.~Karpenko, V.~N.~Mogilevich
\paper Potentials that admit solution of the one-dimensional time-independent Schr\"odinger equation in terms of known functions
\jour TMF
\yr 1991
\vol 88
\issue 1
\pages 59--65
\mathnet{http://mi.mathnet.ru/tmf5775}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1129686}
\zmath{https://zbmath.org/?q=an:0734.34005}
\transl
\jour Theoret. and Math. Phys.
\yr 1991
\vol 88
\issue 1
\pages 715--720
\crossref{https://doi.org/10.1007/BF01016338}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1991HD43300009}
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  • https://www.mathnet.ru/eng/tmf/v88/i1/p59
    • This publication is cited in the following 3 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:322
    Full-text PDF :173
    References:60
    First page:1
     
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