On the Duality of Quasi-Exactly Solvable Problems

1996/01/08 by A. Krajewska, Krajewska, A., A.G. Ushveridze +5
Computer Science · Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical functions and polynomials #Matrix Theory and Algorithms #Quantum Mechanics and Non-Hermitian Physics #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9601025

9 pages, LaTeX, 3 Postscript figures, uses epsfig.sty

arxiv created 1996/01/08 · openalex publication_date 1996/01/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is demonstrated that quasi-exactly solvable models of quantum mechanics admit an interesting duality transformation which changes the form of their potentials and inverts the sign of all the exactly calculable energy levels. This transformation helps one to reveal some new features of quasi-exactly solvable models and associated orthogonal polynomials.

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