paper

Darboux transformations for Dunkl-Schroedinger equations with energy dependent potential and position dependent mass

arXiv:2301.11622

Abstract

We construct arbitrary-order Darboux transformations for Schroedinger equations with energy-dependent potential and position-dependent mass within the Dunkl formalism. Our construction is based on a point transformation that interrelates our equations with the standard Schroedinger case. We apply our method to generate several solvable Dunkl-Schroedinger equations.

23 pages, 8 figures

Darboux transformations for Dunkl-Schroedinger equations with energy dependent potential and position dependent mass · wovepaper