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}
}
  • A. Nikitin
  • Published 2017
  • Physics
  • Journal of Mathematical Physics
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. 
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