The Maximal "Kinematical" Invariance Group for an Arbitrary Potential Revised

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 alg...

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Datum:2018
1. Verfasser: Nikitin, A. G.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України 2018
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Online Zugang:https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/jm14-0519e
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Назва журналу:Journal of Mathematical Physics, Analysis, Geometry

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Journal of Mathematical Physics, Analysis, Geometry
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Zusammenfassung: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.Mathematics Subject Classification: 34L15, 34L20, 35R10.