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Symmetry of equations of linear and nonlinear quantum mechanics

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Abstract

We describe local and nonlocal symmetries of linear and nonlinear wave equations and present a classification of nonlinear multidimensional equations compatible with the Galilean principle of relativity. We propose new systems of nonlinear equations for the description of physical phenomena in classical and quantum mechanics.

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Authors
  1. V. I. Fushchych
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Additional information

Corresponding Member of the Ukrainian Academy of Sciences. Deceased. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 1, pp. 164–176, January, 1997.

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Fushchych, V.I. Symmetry of equations of linear and nonlinear quantum mechanics. Ukr Math J 49, 181–196 (1997). https://doi.org/10.1007/BF02486625

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  • DOI: https://doi.org/10.1007/BF02486625

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