Non-Central Potentials and Spherical Harmonics Using Supersymmetry and Shape Invariance
High Energy Physics - Theory
2009-10-30 v1
Abstract
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 non-central 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.
Keywords
Cite
@article{arxiv.hep-th/9611087,
title = {Non-Central Potentials and Spherical Harmonics Using Supersymmetry and Shape Invariance},
author = {Ranabir Dutt and Asim Gangopadhyaya and Uday P. Sukhatme},
journal= {arXiv preprint arXiv:hep-th/9611087},
year = {2009}
}
Comments
Latex, 12 pages. To appear in American Journal of Physics