# Eigenstates for Pöschl-Teller Potentials

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It has been long known that the Schrödinger equation for a class of potentials of the form , usually referred to as Pöschl–Teller potentials, is exactly solvable. The eigenvalue problem

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Contributed by: S. M. Blinder (March 2011)

Open content licensed under CC BY-NC-SA

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References:

G. Pöschl and E. Teller, "Bemerkungen zur Quantenmechanik des Anharmonischen Oszillators", *Z. Phys.,* 83(3,4), 1933 pp. 143–151.

A recent discussion of reflectionless scattering is given by J. Lekner, "Reflectionless Eigenstates of the Potential," *American Journal of Physics*, 75(12), 2007 pp. 1151–1157.

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