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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… Click to show full abstract
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.
Keywords:
equations position;
kinematical invariance;
position dependent;
invariance groups;
dependent masses
Journal Title: Journal of Mathematical Physics
Year Published: 2017
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Journal Title: Journal of Mathematical Physics
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!