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On the Liouville transformation and exactly-solvable Schrodinger equations

Robert Milson
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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.

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Robert Milson. 1997-10-21. On the Liouville transformation and exactly-solvable Schrodinger equations. https://arxiv.org/abs/solv-int/9706007

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