Non-Central Potentials and Spherical Harmonics Using Supersymmetry and Shape Invariance

Details Non-Central Potentials and Spherical Harmonics Using Supersymmetry and Shape Invariance Non-Central Potentials and Spherical Harmonics Using Supersymmetry and Shape Invariance

1996-11-12

arxiv.org/abs/hep-th/9611087v1

Am.J.Phys. 65 (1997) 400-403

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 12 pages. To appear in American Journal of Physics

Scientific paper

10.1119/1.18551

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.

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