with Where primes denote derivatives with respect to x and the PDM-Schr¨ odinger equation in (5) is known as the target equation. Obviously, as α, β, and γ change within constraint (2), a profile change of ˜ V ( x ) in (6) is unavoidable (hence, an ordering ambiguity conflict erupts in the process). Consequences of a point- canonical-transformation (PCT) mapping (often mediates a transition between two different effective potentials) on such a PDM particle are also discussed in section 2. Therein, we shall witness that such a mass setting results in an effective reflectionless modified P¨ oschl-Teller type potential well (cf. e.g., [20, 37]). We conclude in section 3. Following the well known PCT recipe (cf., e.g., [19,24;27]) would, with a sub- stitution of the form ψ ( x ) = m ( x ) 1 / 4 φ ( q ( x )) in (5), result in q ′ ( x ) = √ m ( x ) and suggests the following point canonical transformation with m ( x ) given in (4). Consequently, the PDM-Schr¨ odinger equation (5) is mapped into 4 2 Consequences of PCT-mapping ˜ V ( x ) = 1 2 (1 + β ) m $^{′′}$( x ) m ( x ) 2 − [ α ( α + β + 1) + β + 1] m $^{′}$( x ) 2 m ( x ) 3 + V ( x ) . (6) q ( x ) = ∫ x √ m ( t ) dt = a tanh − 1 ( x a ) ; | x | < a, (7) ( − d 2 dq 2 + V$_{eff}$ ( q ) φ ( q ) = Eφ ( q ) ; q ∈ ( −∞ , ∞ ) , (8)