On geometric quantization of the Dirac magnetic monopole

Abstract

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.

arXiv comment8 pages, extended version with brief discussion of generilisations to coadjoint orbits of compact Lie groups