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

10 pages

References in corpus (12)

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Cited by in corpus (7)

• On the nonlinear dynamics of a position-dependent mass-driven Duffing-type oscillator: Lagrange and Newton equations' equivalence
• PDM-charged particles in PD-magnetic plus Aharonov-Bohm flux fields: unconfined "almost-quasi-free" and confined in a Yukawa plus Kratzer exact solvability
• Position-dependent mass charged particles in magnetic and Aharonov-Bohm flux fields: separability, exact and conditionally exact solvability
• Position-dependent mass systems: Classical and quantum pictures
• $n$-dimensional PDM-damped harmonic oscillators: Linearizability, and exact solvability
• Effective Hamiltonian with position dependent mass and ordering problem
• Dynamics of the Modified Emden and pseudo-Modified Emden Equations: position-dependent mass, invariance and exact solvability