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

Department of Physics, Eastern Mediterranean University, 

Omar Mustafa 1 and S.Habib Mazharimousavi 2 

G Magusa, North Cyprus, Mersin 10,Turkey 

$^{1}$E-mail: omar.mustafa@emu.edu.tr, $^{2}$E-mail: habib.mazhari@emu.edu.tr 

A quasi-free quantum particle endowed with Heaviside position depen- dent 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, δ $^{′}$( x ) = ∂$_{x}$δ ( x ). Using proper parametric mappings, the reflection and transmission coefficients are obtained. A new order- ing ambiguity parameters set, as the only feasibly admissible within the current methodical proposal, is suggested. 

PACS codes: 03.65.Ge, 03.65.Ca 

Keywords: Position-dependent-mass jump, scattering coefficients, Dirac’s delta distribution, ordering ambiguity. 

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November 27, 2018 

## Abstract 

