Inter-Relations of Solvable Potentials

Details Inter-Relations of Solvable Potentials Inter-Relations of Solvable Potentials

1993-10-26

arxiv.org/abs/hep-th/9310172v1

Helv. Phys. Acta 67 (1994) 363-368

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, LATEX file. A figure available from authors on request

Scientific paper

Solvable Natanzon potentials in nonrelativistic quantum mechanics are known to group into two disjoint classes depending on whether the Schr\"odinger equation can be reduced to a hypergeometric or a confluent hypergeometric equation. All the potentials within each class are connected via point canonical transformations. We establish a connection between the two classes with appropriate limiting procedures and redefinition of parameters, thereby inter-relating all known solvable potentials.

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