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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2018, Volume 14, Number 4, Pages 519–531
DOI: https://doi.org/10.15407/mag14.04.519
(Mi jmag709)
 

This article is cited in 7 scientific papers (total in 7 papers)

The maximal “kinematical” invariance group for an arbitrary potential revised

A. G. Nikitin

Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs'ka Street, Kyiv-4, 01001, Ukraine
Full-text PDF (370 kB) Citations (7)
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Abstract: Group classification of one particle Schrödinger equations with arbitrary potentials (C.P. Boyer, Helv. Phys. Acta 47 (1974), p. 450) is revised. The corrected completed list of non-equivalent potentials and the corresponding symmetries is presented together with exact identification of symmetry algebras and admissible equivalence transformations.
Key words and phrases: Schrödinger equation, Lie symmetries, equivalence transformations.
Received: 03.03.2018
Document Type: Article
MSC: 34L15, 34L20, 35R10
Language: English
Citation: A. G. Nikitin, “The maximal “kinematical” invariance group for an arbitrary potential revised”, Zh. Mat. Fiz. Anal. Geom., 14:4 (2018), 519–531
Citation in format AMSBIB
\Bibitem{Nik18}
\by A.~G.~Nikitin
\paper The maximal ``kinematical'' invariance group for an arbitrary potential revised
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2018
\vol 14
\issue 4
\pages 519--531
\mathnet{http://mi.mathnet.ru/jmag709}
\crossref{https://doi.org/10.15407/mag14.04.519}
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  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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