A second class of solvable potentials related to the Jacobi polynomials

DOI10.1088/0305-4470/24/12/002zbMath0736.34001OpenAlexW2025468449MaRDI QIDQ3986055

Brian Wesley Williams

Publication date: 27 June 1992

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

Full work available at URL: https://doi.org/10.1088/0305-4470/24/12/002

zbMATH Keywords

Jacobi polynomialspotentialsenergy eigenvalue spectrumsolvable wave equations

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) General spectral theory of ordinary differential operators (34L05) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (7)

Accidental crossing of energy eigenvalues in \(\mathcal{P}T\)-symmetric Natanzon-class potentials ⋮ \({\mathcal {PT}}\) symmetry in Natanzon-class potentials ⋮ Bound state solutions of the Schrödinger equation for reducible potentials: general Laurent series and four-parameter exponential-type potentials ⋮ ``Implicit potentials associated with Jacobi polynomials: Some novel aspects ⋮ Exact solutions of a Schrödinger equation based on the Lambert function ⋮ Conditionally exactly solvable potentials and supersymmetric transformations ⋮ An extended scenario for the Schrödinger equation

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