On Time-Dependant Symmetries of Schroedinger Equation

Details On Time-Dependant Symmetries of Schroedinger Equation On Time-Dependant Symmetries of Schroedinger Equation

1998-02-27

arxiv.org/abs/math/9802124v1

Mathematics

Analysis of PDEs

7 pages, Latex, no figures

Scientific paper

We show that the number of symmetry operators of order not higher that q of the nonstationary n-dimensional (n=1,2,3,4) Schroedinger equation (SE) with nonvanishing potentials is finite and does not exceed that of SE with zero potentials for arbitrary q=0,1,2,... . This result is applied for the determination of the general form of time dependance of the symmetry operators of SE with time-independant potentials.

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