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Journal of Engineering Mathematics

Erschienen in:

01.10.2013

Comments on the generalized SUSY QM partnership for Darboux–Pöschl–Teller potential and exceptional Jacobi polynomials

verfasst von: Y. Grandati, A. Bérard

Erschienen in: Journal of Engineering Mathematics | Ausgabe 1/2013

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Abstract

A recently proposed scheme to generate the rational extensions of translationally shape-invariant potentials is applied to the trigonometric Darboux–Pöschl–Teller potential. It allows one in particular to obtain the two series of extensions \(J1\) and \(J2\) associated to the exceptional Jacobi polynomials. We give an explicit proof of the shape invariance of these extended potentials.

Vorheriger Artikel Exact treatment of operator difference equations with nonconstant and noncommutative coefficients

Nächster Artikel The Coulomb potential and the paradoxes of PT symmetrization

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Titel: Comments on the generalized SUSY QM partnership for Darboux–Pöschl–Teller potential and exceptional Jacobi polynomials
verfasst von: Y. Grandati
A. Bérard
Publikationsdatum: 01.10.2013
Verlag: Springer Netherlands
Erschienen in: Journal of Engineering Mathematics / Ausgabe 1/2013
Print ISSN: 0022-0833
Elektronische ISSN: 1573-2703
DOI: https://doi.org/10.1007/s10665-012-9601-x

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