On the Liouville transformation and exactly-solvable Schrodinger equations

Details On the Liouville transformation and exactly-solvable Schrodinger equations On the Liouville transformation and exactly-solvable Schrodinger equations

1997-06-15

arxiv.org/abs/solv-int/9706007v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

16 pages, 6 figures

Scientific paper

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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