Abstract
The present paper discusses the connectionbetween exactly solvable Schrodinger equations and theLiouville transformation. This transformation yields alarge class of exactly solvable potentials, including the exactly solvable potentials introduced byNatanzon. In addition, this class is shown to containtwo new families of exactly solvablepotentials.
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Milson, R. Liouville Transformation and Exactly Solvable Schrodinger Equations. International Journal of Theoretical Physics 37, 1735–1752 (1998). https://doi.org/10.1023/A:1026696709617
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DOI: https://doi.org/10.1023/A:1026696709617