# Symmetries of Schroedinger equation with scalar and vector potentials

@article{Nikitin2020SymmetriesOS, title={Symmetries of Schroedinger equation with scalar and vector potentials}, author={Alexei Nikitin}, journal={arXiv: Mathematical Physics}, year={2020} }

Using the algebraic approach Lie symmetries of Schrodinger equation including both scalar and vector potentials are classified. This classification is completed and includes the specification of all admissible equivalence relations for such equations. A simple formulation of the mapping between the free Schrodinger equation and the repulsive oscillator is proposed.

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