Methods for Generating Quasi-Exactly Solvable Potentials

Details Methods for Generating Quasi-Exactly Solvable Potentials Methods for Generating Quasi-Exactly Solvable Potentials

1995-08-04

arxiv.org/abs/hep-th/9508022v1

Phys.Lett. A208 (1995) 216-268

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, LaTex

Scientific paper

10.1016/0375-9601(95)00824-3

We describe three different methods for generating quasi-exactly solvable potentials, for which a finite number of eigenstates are analytically known. The three methods are respectively based on (i) a polynomial ansatz for wave functions; (ii) point canonical transformations; (iii) supersymmetric quantum mechanics. The methods are rather general and give considerably richer results than those available in the current literature.

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