https://doi.org/10.1140/epjp/s13360-023-04146-3
Regular Article
Darboux transformations and the decoupling process for Dunkl-Dirac equations with pseudoscalar potential
Department of Mathematics and Actuarial Science and Department of Physics, Indiana University Northwest, 3400 Broadway, 46408, Gary, IN, USA
Received:
12
May
2023
Accepted:
26
May
2023
Published online:
4
June
2023
It is shown that the one-dimensional Dunkl-Dirac equation can be decoupled into Schrödinger form, provided parity requirements on both solution and potential are met. We use this interrelation from decoupling for the adaptation of Darboux transformations to the Dunkl-Dirac equation, and for the generation of new solvable cases.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
