Symmetry of equations of linear and nonlinear quantum mechanics
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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.
KeywordsQuantum Mechanic Dirac Equation Lorentz Transformation Galilean Transformation Nonlocal Symmetry
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