Remarks on supersymmetry of quantum systems with position-dependent effective masses

TL;DR

This paper extends supersymmetry methods to one-dimensional quantum systems with position-dependent masses, addressing ordering ambiguities and establishing links to constant mass systems through coordinate and wavefunction transformations.

Contribution

It introduces a generalized supersymmetry approach for position-dependent mass systems and reveals their connection to constant mass systems via transformations.

Findings

Extended supersymmetry framework for position-dependent mass systems

Identified transformations linking variable and constant mass quantum systems

Addressed ordering ambiguities in supersymmetric quantum mechanics

Abstract

We apply the supersymmetry approach to one-dimensional quantum systems with spatially-dependent mass, by including their ordering ambiguities dependence. In this way we extend the results recently reported in the literature. Furthermore, we point out a connection between these systems and others with constant masses. This is done through convenient transformations in the coordinates and wavefunctions.