A quasi-free position-dependent-mass jump and self-scattering correspondence arXiv:0906.4534v1 [quant-ph] 24 Jun 2009 Omar Mustafa 1 and S.Habib Mazharimousavi 2 Department of Physics, Eastern Mediterranean University, G Magusa, North Cyprus, Mersin 10,Turkey $^{1}$E-mail: omar.mustafa@emu.edu.tr, $^{2}$E-mail: habib.mazhari@emu.edu.tr Tel: +90 392 630 1314, Fax: +90 392 3651604 November 27, 2018 Abstract 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. 1