Symmetries of the free Schrodinger Equation

Details Symmetries of the free Schrodinger Equation Symmetries of the free Schrodinger Equation

1996-12-20

arxiv.org/abs/quant-ph/9612049v1

Journal of Russian Laser Research, 23 (2002) 565-579

Physics

Quantum Physics

14 pages, LaTex

Scientific paper

An algorithm is proposed for research into the symmetrical properties of theoretical and mathematical physics equations. The application of this algorithm to the free Schrodinger equation permited us to establish that in addition to the known Galilei symmetry, the free Schrodinger equation possesses also the relativistic symmetry in some generalized sense. This property of the free Schrodinger equation permits the equation to be extended into the relativistic area of movements of a particle being studied.

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