On the Liouville transformation and exactly-solvable Schrodinger equations
solv-int
2008-02-03 v2 Exactly Solvable and Integrable Systems
Abstract
The present article discusses the connection between exactly-solvable Schrodinger equations and the Liouville transformation. This transformation yields a large class of exactly-solvable potentials, including the exactly-solvable potentials introduced by Natanzon. As well, this class is shown to contain two new families of exactly solvable potentials.
Keywords
Cite
@article{arxiv.solv-int/9706007,
title = {On the Liouville transformation and exactly-solvable Schrodinger equations},
author = {Robert Milson},
journal= {arXiv preprint arXiv:solv-int/9706007},
year = {2008}
}
Comments
16 pages, 6 figures