Generation of isospectral combinations of the potential and the effective-mass variations by supersymmetric quantum mechanics

Abstract

The procedure is described for supersymmetric generation of combined potential and effective-mass variations, fully isospectral with an original potential. It relies on the standard supersymmetric technique, accompanied by the coordinate transform method. It enables one to generate families of isospectral potentials and isospectral effective-mass variations, both generally different from their original forms, with the number of free parameters larger than in the case of varying potential only, which may be of interest, e.g., in the design of semiconductor quantum wells.