Rational extensions of the trigonometric Darboux-Pöschl-Teller potential based on para-Jacobi polynomials

DOI10.1063/1.4922017zbMath1317.81135arXiv1411.7857OpenAlexW1578698124MaRDI QIDQ5264381

Yves Grandati, Bijan K. Bagchi, Christiane Quesne

Publication date: 27 July 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.7857

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Supersymmetry and quantum mechanics (81Q60) Special quantum systems, such as solvable systems (81Q80)

Related Items (10)

Supersymmetry and shape invariance of exceptional orthogonal polynomials ⋮ Exceptional Hahn and Jacobi polynomials with an arbitrary number of continuous parameters ⋮ Exceptional Gegenbauer polynomials via isospectral deformation ⋮ Exceptional Jacobi polynomials which are deformations of Jacobi polynomials ⋮ Exceptional Jacobi polynomials ⋮ On linear equations with general polynomial solutions ⋮ Shape invariance and equivalence relations for pseudo-Wronskians of Laguerre and Jacobi polynomials ⋮ Quantum oscillator and Kepler–Coulomb problems in curved spaces: Deformed shape invariance, point canonical transformations, and rational extensions ⋮ Generalized quantum nonlinear oscillators: Exact solutions and rational extensions ⋮ Bispectral dual Hahn polynomials with an arbitrary number of continuous parameters

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