A quasi-free position-dependent-mass jump and self-scattering correspondence

Abstract

A quasi-free quantum particle endowed with Heaviside position dependent mass jump is observed to experience scattering effects manifested by its by-product introduction of the derivative of the Dirac's-delta point dipole interaction. Using proper parametric mappings, the reflection and transmission coefficients are obtained. A new ordering ambiguity parameters set, as the only feasibly admissible within the current methodical proposal, is suggested.

13 pages, no figures

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Cited by in corpus (3)

• Radial power-law position-dependent mass; Cylindrical coordinates, separability, and spectral signatures
• Position-dependent mass effects in the electronic transport of two-dimensional quantum systems
• Classical and quantum quasi-free position dependent mass; Pöschl-Teller and ordering-ambiguity