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The complete set of symmetry operators of the schrödinger equation

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Abstract

The complete set of symmetry operators of an arbitrary order associated with the Schrödinger equation is found. It is shown that this equation is invariant with respect to a 28-dimensional Lie algebra, realized in the class of differential operators of the second order. Higher-order symmetries of the Levi-Leblond equation are investigated.

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Authors and Affiliations

  1. Institute of Mathematics, Academy of Sciences of the Ukraine, Kiev

    A. G. Nikitin

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  1. A. G. Nikitin
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, No. 11, pp. 1521–1526, November, 1991.

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Nikitin, A.G. The complete set of symmetry operators of the schrödinger equation. Ukr Math J 43, 1413–1418 (1991). https://doi.org/10.1007/BF01067280

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  • DOI: https://doi.org/10.1007/BF01067280

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