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Noncentral Potentials and Spherical Harmonics Using Supersymmetry and Shape Invariance
American Journal of Physics
  • Ranabir Dutt, Visva Bharati University
  • Asim Gangopadhyaya, Loyola University Chicago
  • Uday P. Sukhatne, University of Illinois at Chicago
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It is shown that the operator methods of supersymmetric quantum mechanics and the concept of shape invariance can profitably be used to derive properties of spherical harmonics in a simple way. The same operator techniques can also be applied to several problems with noncentral vector and scalar potentials. As examples, we analyze the bound state spectra of an electron in a Coulomb plus an Aharonov – Bohm field and/or in the magnetic field of a Dirac monopole.

Author Posting. © American Association of Physics Teachers, 1997. This article is posted here by permission of American Association of Physics Teachers for personal use, not for redistribution. It was published in American Journal of Physics, 65 (1997)

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Creative Commons Attribution-Noncommercial-No Derivative Works 3.0
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Dutt, R., Gangopadhyaya, A., and Sukhatme, U.P. (1997). Noncentral potentials and spherical harmonics using supersymmetry and shape invariance. American Journal of Physics, 65, 400-403.