Abstract
In this study, we introduce a new approach to construct the Schrödinger equation with position-dependent mass characterized by an emerging particle's effective mass, in perfect analogy with the problems involving a position-dependent mass particle in semiconductor heterostructures. We have discussed several of its properties and some of its implications in quantum dots and semiconductors. It was observed that the PDM approach affects only semiconductors with large interatomic scaling such as non-crystalline semiconductors and its effect on conventional semiconductors is insignificant.
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