Bound-states for generalized trigonometric and hyperbolic P\"oschl-Teller potentials

• URL: http://arxiv.org/abs/2108.08978v3
• Date: Sat, 18 Sep 2021 06:10:09 GMT
• Title: Bound-states for generalized trigonometric and hyperbolic P\"oschl-Teller potentials
• Authors: A. D. Alhaidari, I. A. Assi, A. Mebirouk
• Abstract summary: We solve the time-independent Schr"odinger equation for the bound states of generalized versions of the trigonometric and hyperbolic P"oschl-Teller potentials. These new potentials do not belong to the conventional class of exactly solvable problems.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We use the "tridiagonal representation approach" to solve the time-independent Schr\"odinger equation for the bound states of generalized versions of the trigonometric and hyperbolic P\"oschl-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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