Volume 21, Issue 1, February 2014, Pages 34 - 42
On geometric quantization of the Dirac magnetic monopole
Authors
Graham M. Kemp
Department of Mathematical Sciences, Loughborough University, Loughborough, Leicestershire, LE11 3TU, UK.G.Kemp@lboro.ac.uk
Alexander P. Veselov
Moscow State University, Moscow 119899, Russia.A.P.Veselov@lboro.ac.uk
Received 1 October 2013, Accepted 19 November 2013, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2014.894719How to use a DOI?
- Keywords
- Dirac magnetic monopole; geometric quantization; Frobenius reciprocity formula
- Abstract
We give a simple derivation of the spectrum of the Dirac magnetic monopole on a unit sphere S2 based on geometric quantization and the Frobenius reciprocity formula. The starting point is the calculation by Novikov and Schmelzer of the canonical symplectic structure on the coadjoint orbits of the isometry group of 3-dimensional Euclidean space E(3), which showed the appearance of the Dirac magnetic term.
- Copyright
- © 2014 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Graham M. Kemp AU - Alexander P. Veselov PY - 2021 DA - 2021/01/06 TI - On geometric quantization of the Dirac magnetic monopole JO - Journal of Nonlinear Mathematical Physics SP - 34 EP - 42 VL - 21 IS - 1 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2014.894719 DO - 10.1080/14029251.2014.894719 ID - Kemp2021 ER -