Quasi-exactly solvable rational potentials with known zero-energy solutions of the Schrödinger equation are constructed by starting from exactly solvable potentials for which the Schrödinger equation admits an so(2,1) potential algebra. For some of them, the zero-energy wave function is shown to be normalizable and to describe a bound state. © 1997 Elsevier Science B.V.

Bijan Kumar Bagchi

Physics

(SoNS) School of Natural Sciences

C. Quesne

Fulltext

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