Abstract
The aim of this Letter is to present a new family of integrable functional-difference deformations of the Schrödinger equation with Darboux–Pöschl–Teller potentials. The related potentials are labeled by two integers m and n, and also depend on a deformation parameter h. When h→ 0 the classical Darboux–Pöschl–Teller model is recovered.
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Gaillard, P. A New Family of Deformations of Darboux-Pöschl-Teller Potentials. Letters in Mathematical Physics 68, 77–90 (2004). https://doi.org/10.1023/B:MATH.0000043317.04919.a0
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DOI: https://doi.org/10.1023/B:MATH.0000043317.04919.a0