On the Duality of Quasi-Exactly Solvable Problems

Details On the Duality of Quasi-Exactly Solvable Problems On the Duality of Quasi-Exactly Solvable Problems

1996-01-08

arxiv.org/abs/hep-th/9601025v1

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

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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