Methods for Generating Quasi-Exactly Solvable Potentials
High Energy Physics - Theory
2009-10-28 v1
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.
Cite
@article{arxiv.hep-th/9508022,
title = {Methods for Generating Quasi-Exactly Solvable Potentials},
author = {Asim Gangopadhyaya and Avinash Khare and Uday P. Sukhatme},
journal= {arXiv preprint arXiv:hep-th/9508022},
year = {2009}
}
Comments
12 pages, LaTex