On geometric quantization of the Dirac magnetic monopole

Graham M. Kemp, Alexander P. Veselov

Published 2011-03-31, updated 2013-07-24Version 2

We give a simple derivation of the spectrum of the Dirac magnetic monopole on a unit sphere based on geometric quantization and the Frobenius reciprocity formula. We also briefly discuss the generalisations of Dirac magnetic monopole to any coadjoint orbit of a compact Lie group.