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arXiv · hep-th/9611087

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

Ranabir Dutt·Asim Gangopadhyaya·Uday P. Sukhatme
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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.

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Ranabir Dutt, Asim Gangopadhyaya, Uday P. Sukhatme. 1996-11-12. Non-Central Potentials and Spherical Harmonics Using Supersymmetry and Shape Invariance. https://doi.org/10.1119/1.18551

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