Title:
Supersymmetry and shape invariance of exceptional orthogonal polynomials

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dc.contributor.authorSatish Yadav
dc.contributor.authorAvinash Khare
dc.contributor.authorBhabani Prasad Mandal
dc.date.accessioned2026-02-07T10:58:46Z
dc.date.issued2022
dc.description.abstractWe discuss the exceptional Laguerre and the exceptional Jacobi orthogonal polynomials in the framework of the supersymmetric quantum mechanics (SUSYQM). We express the differential equations for the Jacobi and the Laguerre exceptional orthogonal polynomials (EOP) as the eigenvalue equations and make an analogy with the time independent Schrödinger equation to define “Hamiltonians” enables us to study the EOPs in the framework of the SUSYQM and to realize the underlying shape invariance associated with such systems. We show that the underlying shape invariance symmetry is responsible for the solubility of the differential equations associated with these polynomials. © 2022 Elsevier Inc.
dc.identifier.doi10.1016/j.aop.2022.169064
dc.identifier.issn34916
dc.identifier.urihttps://doi.org/10.1016/j.aop.2022.169064
dc.identifier.urihttps://dl.bhu.ac.in/bhuir/handle/123456789/40720
dc.publisherAcademic Press Inc.
dc.subjectExceptional orthogonal polynomials
dc.subjectRational extensions
dc.subjectShape invariance
dc.subjectSupersymmetric quantum mechanics
dc.titleSupersymmetry and shape invariance of exceptional orthogonal polynomials
dc.typePublication
dspace.entity.typeArticle

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