Classical and quantum quasi-free position dependent mass; Pöschl-Teller and ordering-ambiguity

preprint2013arXivOpen access

Abstract

We argue that the classical and quantum mechanical correspondence may play a basic role in the fixation of the ordering-ambiguity parameters. We use quasi-free position-dependent masses in the classical and quantum frameworks. The effective Pöschl-Teller model is used as a manifested reference potential to elaborate on the reliability of the ordering-ambiguity parameters available in the literature.

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