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JOURNALS // Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry] // Archive

Zh. Mat. Fiz. Anal. Geom., 2018 Volume 14, Number 4, Pages 519–531 (Mi jmag709)

This article is cited 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

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.

MSC: 34L15, 34L20, 35R10

Received: 03.03.2018

Language: English

DOI: 10.15407/mag14.04.519



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