On one-dimensional Schroedinger problems allowing polynomial solutions

J. Phys. A: Math. Gen. 33 (2000) 1233-1245 We discuss the explicit construction of the Schroedinger equations admitting a representation through some family of general polynomials. Almost all solvable quantum potentials are shown to be generated by this approach. Some generalization has also been pe...

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Bibliographic Details
Main Authors Krylov, George, Robnik, Marko
Format Journal Article
LanguageEnglish
Published 30.03.2000
Subjects
Physics - Chaotic Dynamics
Physics - Exactly Solvable and Integrable Systems
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Summary:J. Phys. A: Math. Gen. 33 (2000) 1233-1245 We discuss the explicit construction of the Schroedinger equations admitting a representation through some family of general polynomials. Almost all solvable quantum potentials are shown to be generated by this approach. Some generalization has also been performed in higher-dimensional problems.
Bibliography:Preprint CAMTP/99, published (see below)
DOI:10.48550/arxiv.nlin/0003064