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The complete set of symmetry operators of the schrödinger equation
Authors:A. G. Nikitin
Affiliation:(1) Institute of Mathematics, Academy of Sciences of the Ukraine, Kiev
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.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, No. 11, pp. 1521–1526, November, 1991.
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