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

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 Poschl-Teller model is used as a manifested reference potential to elaborate on the reliability of the ordering ambiguity parameters available in the literature.