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.
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Journal of Engineering Mathematics, Springer Verlag, 2013, 82 (1, SI), pp.161-171. 〈10.1007/s10665-012-9601-x〉
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Soumis le : mardi 25 avril 2017 - 10:20:25
Dernière modification le : jeudi 23 novembre 2017 - 01:14:16

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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, Springer Verlag, 2013, 82 (1, SI), pp.161-171. 〈10.1007/s10665-012-9601-x〉. 〈hal-01513427〉

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