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It is shown that the operator methods of supersymmetric quantum mechanics andthe concept of shape invariance can profitably be used to derive properties ofspherical harmonics in a simple way. The same operator techniques can also beapplied to several problems with non-central vector and scalar potentials. Asexamples, we analyze the bound state spectra of an electron in a Coulomb plusan Aharonov-Bohm field and/or in the magnetic field of a Dirac monopole.Comment: Latex, 12 pages. To appear in American Journal of Physic

Noncentral potentials and spherical harmonics using supersymmetry and shape invariance