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Journal of Engineering Mathematics
Published in: Journal of Engineering Mathematics 1/2013

01-10-2013

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

Authors: Y. Grandati, A. Bérard

Published in: Journal of Engineering Mathematics | Issue 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.
previous article Exact treatment of operator difference equations with nonconstant and noncommutative coefficients
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Metadata
Title
Comments on the generalized SUSY QM partnership for Darboux–Pöschl–Teller potential and exceptional Jacobi polynomials
Authors
Y. Grandati
A. Bérard
Publication date
01-10-2013
Publisher
Springer Netherlands
Published in
Journal of Engineering Mathematics / Issue 1/2013
Print ISSN: 0022-0833
Electronic ISSN: 1573-2703
DOI
https://doi.org/10.1007/s10665-012-9601-x

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