On geometric quantization of the Dirac magnetic monopole

2011/03/31 by Graham Kemp, Graham M. Kemp, Kemp, Graham M. +3
Mathematics · Medicine · Physics and Astronomy · #53D50 #81R12 #FOS: Physical sciences #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories #Ophthalmology and Eye Disorders #math-ph #math.MP #msc:53D50 #msc:81R12

paper · pdf · doi:10.48550/arxiv.1103.6242

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

openalex publication_date 2011/03/31 · arxiv created 2013/07/24 · arxiv updated 2013/07/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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