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Article
Inter-Relations of Solvable Potentials
Helvetica Physica Acta
  • Asim Gangopadhyaya, Loyola University Chicago
  • Prasanta K. Panigrahi, University of Hyderabad
  • Uday P. Sukhatne, University of Illinois at Chicago
Document Type
Article
Publication Date
7-1-1994
Pages
363-368
Disciplines
Abstract
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.
Identifier
10.5169/seals-116652
Comments
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
Creative Commons License
Creative Commons Attribution-Noncommercial 3.0
Citation Information
Asim Gangopadhyaya, Prasanta K. Panigrahi and Uday P. Sukhatne. "Inter-Relations of Solvable Potentials" Helvetica Physica Acta Vol. 67 Iss. 4 (1994)
Available at: http://works.bepress.com/asim_gangopadhyaya/10/