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arXiv · 2108.08978

Bound-states for generalized trigonometric and hyperbolic Pöschl-Teller potentials

A. D. Alhaidari·I. A. Assi·A. Mebirouk
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Abstract

We use the "tridiagonal representation approach" to solve the time-independent Schrödinger equation for the bound states of generalized versions of the trigonometric and hyperbolic Pöschl-Teller potentials. These new solvable potentials do not belong to the conventional class of exactly solvable problems. The solutions are finite series of square integrable functions written in terms of the Jacobi polynomial.

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A. D. Alhaidari, I. A. Assi, A. Mebirouk. 2021-09-18. Bound-states for generalized trigonometric and hyperbolic Pöschl-Teller potentials. https://doi.org/10.1142/s0217751x22500129

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