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arXiv · hep-th/9508022

Methods for Generating Quasi-Exactly Solvable Potentials

Asim Gangopadhyaya·Avinash Khare·Uday P. Sukhatme
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Abstract

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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Asim Gangopadhyaya, Avinash Khare, Uday P. Sukhatme. 1995-08-04. Methods for Generating Quasi-Exactly Solvable Potentials. https://doi.org/10.1016/0375-9601(95)00824-3

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