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In due course, the position-dependent-mass jump of (1) implies 

and 

It should be noted here that, in a straightforward manner, one may substitute U (0) in (18) to obtain the transmission and reflection coefficients (15) and (16), respectively, as 2 

and 

Consequently and asymptotically speaking, a Taylor series expansions about µ → 0 (i.e., 0 < µ << 1, also very likely experimentally feasibly applicable) would result in casting the reflection and transmission intensities, respectively, as | R | 2 ≈ µ 2 + O ( µ $^{3}$) and | T | 2 ≈ 1 − µ 2 + O ( µ $^{3}$) . Within such asymptotic tendencies, it is obvious that increasing the value of µ from just above 0 to 1 would make the derivative-of-the-Dirac’s delta scatterer less transparent until total reflection takes place when µ = 1. 

## 3 Concluding remarks 

In this work, a quasi-free quantum particle (i.e., V ( x ) = 0 whereas V$_{eff}$ ( q ( x )) ̸ = 0) endowed with a position-dependent-mass jump (1) is considered. Whilst, un- der Mustafa’s and Mazharimousavi’s ordering ambiguity parametrization (i.e., α = γ = − 1 / 4 and β = − 1 / 2) the free PDM quantum particle remained free, we have witnessed (only under a specific though rather new set of ordering am- 

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