On the Liouville transformation and exactly-solvable Schrödinger equations
نویسنده
چکیده
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 solvable potentials. AMS classification scheme numbers: 81Q05, 34A05, 33C90
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