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Bound-states for generalized trigonometric and hyperbolic Pöschl-Teller potentials (2108.08978v3)
Published 20 Aug 2021 in quant-ph
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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