Darboux transformations for Dunkl-Schroedinger equations with energy dependent potential and position dependent mass
Quantum Physics
2023-01-31 v2 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.2301.11622,
title = {Darboux transformations for Dunkl-Schroedinger equations with energy dependent potential and position dependent mass},
author = {Axel Schulze-Halberg and Pinaki Roy},
journal= {arXiv preprint arXiv:2301.11622},
year = {2023}
}
Comments
23 pages, 8 figures