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

DOI10.1007/s10665-012-9601-xzbMath1360.81179OpenAlexW2064831202MaRDI QIDQ525159

Alain Bérard, Yves Grandati

Publication date: 28 April 2017

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-012-9601-x

zbMATH Keywords

orthogonal polynomialssupersymmetric quantum mechanicssolvable quantum systemsDarboux-Bäcklund transformations

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Supersymmetry and quantum mechanics (81Q60) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items

A short note on ``Group theoretic approach to rationally extended shape invariant potentials ⋮ Infinite families of shape invariant potentials with \(n\) parameters subject to translation ⋮ Exceptional Gegenbauer polynomials via isospectral deformation ⋮ Exceptional Jacobi polynomials ⋮ Extended Krein-Adler theorem for the translationally shape invariant potentials ⋮ Exceptional Legendre polynomials and confluent Darboux Transformations

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