The Dirac Equation in Geometric Quantization
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.
Citation
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
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