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Teoreticheskaya i Matematicheskaya Fizika, 1991, Volume 87, Number 3, Pages 426–433 (Mi tmf5504)  
This article is cited in 14 scientific papers (total in 14 papers)

Generation of new exactly solvable potentials of a nonstationary Schrödinger equation

V. G. Bagrov, A. V. Shapovalov, I. V. Shirokov
Full-text PDF (879 kB) Citations (14)
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Abstract: A method for generating integrable potentials of a nonstationary Schrödinger equation (i.e., with time-dependent potential) is developed on the basis of the method of “dressing” of linear differential operators. Potentials that admit separation of the variables generate classes of nonseparating potentials for which the Schrödinger equation has nonlocal symmetry operators.
Received: 12.11.1990
English version:
Theoretical and Mathematical Physics, 1991, Volume 87, Issue 3, Pages 635–640
DOI: https://doi.org/10.1007/BF01017951
Bibliographic databases:
Language: Russian
Citation: V. G. Bagrov, A. V. Shapovalov, I. V. Shirokov, “Generation of new exactly solvable potentials of a nonstationary Schrödinger equation”, TMF, 87:3 (1991), 426–433; Theoret. and Math. Phys., 87:3 (1991), 635–640
Citation in format AMSBIB
\Bibitem{BagShaShi91}
\by V.~G.~Bagrov, A.~V.~Shapovalov, I.~V.~Shirokov
\paper Generation of new exactly solvable potentials of a~nonstationary Schr\"odinger equation
\jour TMF
\yr 1991
\vol 87
\issue 3
\pages 426--433
\mathnet{http://mi.mathnet.ru/tmf5504}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1129676}
\zmath{https://zbmath.org/?q=an:0745.35032}
\transl
\jour Theoret. and Math. Phys.
\yr 1991
\vol 87
\issue 3
\pages 635--640
\crossref{https://doi.org/10.1007/BF01017951}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1991GW78600007}
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  • https://www.mathnet.ru/eng/tmf/v87/i3/p426
    • This publication is cited in the following 14 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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    Full-text PDF :146
    References:47
    First page:1
     
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