Helvetica Physica Acta
Solvable Natanzon potentials in nonrelativistic quantum mechanics are known to group into two disjoint classes depending on whether the Schrödinger 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.
Gangopadhyaya, Asim; Panigrahi, Prasanta K.; and Sukhatne, Uday P., "Inter-Relations of Solvable Potentials" (1994). Physics: Faculty Publications and Other Works. 10.
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© 1994 Birkhäuser Verlag
Author Posting © 1994 Birkhäuser Verlag. This article is posted here by permission of Birkhäuser Verlag for personal use, not for redistribution. The article was published in Helvetica Physica Acta. 67(4):363-368, (1994), http://dx.doi.org/10.5169/seals-116652