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

• URL: http://arxiv.org/abs/2301.11622v2
• Date: Mon, 30 Jan 2023 09:15:09 GMT
• Title: Darboux transformations for Dunkl-Schroedinger equations with energy dependent potential and position dependent mass
• Authors: Axel Schulze-Halberg and Pinaki Roy
• Abstract summary: We construct arbitrary-order Darboux transformations for Schroedinger equations with energy-dependent potential and position-dependent mass. Our construction is based on a point transformation that interrelates our equations with the standard Schroedinger case.
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• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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