Kinematical invariance groups of the 3d Schrödinger equations with position dependent masses

@article{Nikitin2017KinematicalIG,
title={Kinematical invariance groups of the 3d Schr{\"o}dinger equations with position dependent masses},
author={A. Nikitin},
journal={Journal of Mathematical Physics},
year={2017},
volume={58},
pages={083508}
}

Kinematical invariance groups of the 3d Schrodinger equations with position dependent masses and arbitrary potentials are classified. All non-equivalent classes of such equations are presented together with the corresponding symmetry algebras. The specific symmetries connected with the presence of the ordering-ambiguity parameters are discussed, and an extended class of systems which keep their forms for arbitrary or particular changes of these parameters is specified.