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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
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
Citation:
A. G. Nikitin, “The maximal “kinematical” invariance group for an arbitrary potential revised”, Zh. Mat. Fiz. Anal. Geom., 14:4 (2018), 519–531
Linking options:
https://www.mathnet.ru/eng/jmag709 https://www.mathnet.ru/eng/jmag/v14/i4/p519
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Abstract page: | 197 | Full-text PDF : | 54 | References: | 31 |
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