Solvable rational extension of translationally shape invariant potentials

zbMath1248.81038arXiv0912.3061MaRDI QIDQ2895567

Alain Bérard, Yves Grandati

Publication date: 3 July 2012

Full work available at URL: https://arxiv.org/abs/0912.3061

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Supersymmetry and quantum mechanics (81Q60) Other special orthogonal polynomials and functions (33C47) Linear boundary value problems for ordinary differential equations (34B05) Special quantum systems, such as solvable systems (81Q80)

Related Items (3)

Zeros of the exceptional Laguerre and Jacobi polynomials ⋮ Comments on the generalized SUSY QM partnership for Darboux-Pöschl-Teller potential and exceptional Jacobi polynomials ⋮ Extended Krein-Adler theorem for the translationally shape invariant potentials

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