Journal of Nonlinear Mathematical Physics

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
https://doi.org/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/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
21 - 1
Pages
34 - 42
Publication Date
2021/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.1080/14029251.2014.894719How to use a DOI?
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
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  - https://doi.org/10.1080/14029251.2014.894719
ID  - Kemp2021
ER  -