On the Liouville transformation and exactly-solvable Schrödinger equations

The present article discusses the connection between exactly-solvable Schrödinger equations and the Liouville transformation. This transformation yields a large class of exactly-solvable potentials, which includes the relatively recently introduced potentials of Natanzon and Ginocchio. As well, this class is shown to contain two new families of exactly… CONTINUE READING