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TMF, 1991, Volume 87, Number 3, Pages 426–433 (Mi tmf5504)  

This article is cited in 4 scientific papers (total in 4 papers)

Generation of new exactly solvable potentials of a nonstationary Schrödinger equation

V. G. Bagrov, A. V. Shapovalov, I. V. Shirokov


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.

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English version:
Theoretical and Mathematical Physics, 1991, 87:3, 635–640

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Received: 12.11.1990

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
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\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
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\mathscinet{http://www.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{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1991GW78600007}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. V. G. Bagrov, B. F. Samsonov, “Darboux transformation, factorization, supersymmetry in one-dimensional quantum mechanics”, Theoret. and Math. Phys., 104:2 (1995), 1051–1060  mathnet  crossref  mathscinet  zmath  isi
    2. A. V. Shapovalov, I. V. Shirokov, “Noncommutative integration of linear differential equations”, Theoret. and Math. Phys., 104:2 (1995), 921–934  mathnet  crossref  mathscinet  zmath  isi
    3. Bagrov V.G., Gitman D.M., Levin A.D., “Struktura elektromagnitnykh polei, dopuskayuschikh v kombinatsii s polem aaronova - boma tochnye resheniya uravneniya shredingera”, Izvestiya vysshikh uchebnykh zavedenii. Fizika, 54:8 (2011), 23–32  elib
    4. Bagrov V.B., Gitman D.M., Levin A.D., “Structure of the Electromagnetic Field Allowing Exact Solution of the Schrodinger Equation in Superposition With An Aharonov-Bohm Field”, Russian Physics Journal, 54:8 (2012), 855–866  crossref  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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