The Dirac Equation in Geometric Quantization
Access Status
Open access
Authors
Bona, Andrej
Date
2003Type
Journal Article
Metadata
Show full item recordCitation
Bona, Andrej. 2003. The Dirac Equation in Geometric Quantization. Annales Henri Poincare. 4 (3): pp. 487-512.
Source Title
Annales Henri Poincare
ISSN
Faculty
Department of Exploration Geophysics
Faculty of Science and Engineering
WA School of Mines
Remarks
The original publication is available at : http://www.springerlink.com
Collection
Abstract
The coadjoint orbit of the restricted Poincaré group corresponding to a mass m and spin 1/2 is described. The orbit is quantized using the geometric quantization. To include the discrete symmetries, one has to induce the irreducible representation of the restricted Poincaré group obtained by the quantization procedure to the full Poincaré group. The new representation is reducible and the reduction to an irreducible representation corresponds to the Dirac equation.
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