Construction of angular-dependent potentials from trigonometric Pöschl-Teller systems within the Dunkl formalism

Autor: Axel Schulze-Halberg
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Acta Polytechnica, Vol 63, Iss 4 (2023)
Druh dokumentu: article
ISSN: 1805-2363
DOI: 10.14311/AP.2023.63.0273
Popis: We generate solvable cases of the two angular equations resulting from variable separation in the three-dimensional Dunkl-Schrödinger equation expressed in spherical coordinates. It is shown that the Dunkl formalism interrelates these angular equations with trigonometric Pöschl-Teller systems. Based on this interrelation, we use point transformations and Darboux-Crum transformations to construct new solvable cases of the angular equations. Instead of the stationary energy, we use the constants due to the separation of variables as transformation parameters for our Darboux-Crum transformations.
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