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Approximate Solutions of the Dunkl–Schrödinger Equation for the Hyperbolic Pöschl–Teller Potential

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We construct an approximate solution to the Schrödinger equation for the hyperbolic Pöschl–Teller potential within the Dunkl formalism. Our approximation is based on a series expansion of the inverse quadratic term generated by the Dunkl operator. Two methods of establishing correct parity in the approximate solutions are discussed, and an example is presented.

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A.S.H. carried out all work related to this manuscript.

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Correspondence to Axel Schulze-Halberg.

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Schulze-Halberg, A. Approximate Solutions of the Dunkl–Schrödinger Equation for the Hyperbolic Pöschl–Teller Potential. Few-Body Syst 65, 58 (2024).

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