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Teoreticheskaya i Matematicheskaya Fizika, 1992, Volume 91, Number 2, Pages 268–278 (Mi tmf5576)  
This article is cited in 5 scientific papers (total in 5 papers)

Higher symmetries of the Schrödinger equation

A. G. Nikitin, S. P. Onufriichuk, W. I. Fushchych

Mathematics Institute, Academy of Sciences of the Ukrainian SSR
Full-text PDF (967 kB) Citations (5)
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Abstract: Complete sets of symmetry operators of arbitrary finite order are found for the Schrödinger equation with some types of potential, including the potential of a supersymmetric harmonic oscillator. Potentials that admit nontrivial higher symmetries are described.
Received: 13.12.1991
English version:
Theoretical and Mathematical Physics, 1992, Volume 91, Issue 2, Pages 514–521
DOI: https://doi.org/10.1007/BF01018849
Bibliographic databases:
Language: Russian
Citation: A. G. Nikitin, S. P. Onufriichuk, W. I. Fushchych, “Higher symmetries of the Schrödinger equation”, TMF, 91:2 (1992), 268–278; Theoret. and Math. Phys., 91:2 (1992), 514–521
Citation in format AMSBIB
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\by A.~G.~Nikitin, S.~P.~Onufriichuk, W.~I.~Fushchych
\paper Higher symmetries of the Schr\"odinger equation
\jour TMF
\yr 1992
\vol 91
\issue 2
\pages 268--278
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1182539}
\zmath{https://zbmath.org/?q=an:0779.35098}
\transl
\jour Theoret. and Math. Phys.
\yr 1992
\vol 91
\issue 2
\pages 514--521
\crossref{https://doi.org/10.1007/BF01018849}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992KG55600006}
Linking options:
  • https://www.mathnet.ru/eng/tmf5576
  • https://www.mathnet.ru/eng/tmf/v91/i2/p268
    • This publication is cited in the following 5 articles:
    1. Stanislav Yu. Lukashchuk, “Approximate Nonlocal Symmetries for a Perturbed Schrödinger Equation with a Weak Infinite Power-Law Memory”, AppliedMath, 2:4 (2022), 585  crossref
    2. Stanislav Opanasenko, Roman O. Popovych, “Generalized symmetries and conservation laws of (1 + 1)-dimensional Klein–Gordon equation”, Journal of Mathematical Physics, 61:10 (2020)  crossref
    3. W. I. Fushchych, A. G. Nikitin, “Higher symmetries and exact solutions of linear and nonlinear Schrödinger equation”, Journal of Mathematical Physics, 38:11 (1997), 5944  crossref
    4. Anatolii Nikitin, “Non-Lie Symmetries and Supersymmetries”, JNMP, 2:3-4 (1995), 405  crossref
    5. V. V. Firstov, I. V. Shirokov, “Classification of quadratic symmetry algebras of the Schr�dinger equation”, Russ Phys J, 38:8 (1995), 772  crossref
    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 :208
    References:51
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