On the Liouville transformation and exactly-solvable Schrodinger equations
arXiv:solv-int/9706007
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.
16 pages, 6 figures