American Journal of Physics
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.
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.
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© American Association of Physics Teachers, 1997.
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) http://dx.doi.org/10.1119/1.18551