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

Abstract

A quasi-free quantum particle endowed with a Heaviside position-dependent mass jump is observed to experience scattering effects manifested by its by-product introduction of the derivative of the Dirac delta point dipole interaction, delta'(x) = partial derivative(x)delta(x). Using proper parametric mappings, the reflection and transmission coefficients are obtained. A new ordering ambiguity parameter set is reported.