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arXiv · 0906.4534

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

Omar Mustafa·S. Habib Mazharimousavi
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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.

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Omar Mustafa, S. Habib Mazharimousavi. 2009-06-24. A quasi-free position-dependent-mass jump and self-scattering correspondence. https://doi.org/10.1088/0031-8949%2F82%2F06%2F065013

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