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Journal Articles Journal of Engineering Mathematics Year : 2013

Comments on the generalized SUSY QM partnership for Darboux-Poschl-Teller potential and exceptional Jacobi polynomials

Abstract

A recently proposed scheme to generate the rational extensions of translationally shape-invariant potentials is applied to the trigonometric Darboux-Poschl-Teller potential. It allows one in particular to obtain the two series of extensions and associated to the exceptional Jacobi polynomials. We give an explicit proof of the shape invariance of these extended potentials.

Dates and versions

hal-01513427 , version 1 (25-04-2017)

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Y. Grandati, A. Bérard. Comments on the generalized SUSY QM partnership for Darboux-Poschl-Teller potential and exceptional Jacobi polynomials. Journal of Engineering Mathematics, 2013, 82 (1, SI), pp.161-171. ⟨10.1007/s10665-012-9601-x⟩. ⟨hal-01513427⟩
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