An alternative approach to Schr\"odinger equations with a spatially varying mass

TL;DR

This paper introduces a new unified method for generating quantum potentials with spatially varying mass, extending existing transformation techniques to handle all classes of such potentials.

Contribution

It presents a novel approach that differs from previous methods, enabling the generation of a broader class of potentials with non-constant mass.

Findings

Successfully generates a wide range of potentials with spatially varying mass.

Extends the point canonical transformation approach to a more general framework.

Provides a unified method applicable to all classes of non-constant mass potentials.

Abstract

Extending the point canonical transformation approach in a manner distinct from the previous ones, we propose a unified approach of generating potentials of all classes having non-constant masses.