The Dirac equation in geometric quantization

被引：0
作者：
Bóna, A [1 ]
机构：
[1] Mem Univ Newfoundland, Dept Earth Sci, St John, NF A1C 5S7, Canada
来源：
ANNALES HENRI POINCARE | 2003年 / 4卷 / 03期
关键词：
Irreducible Representation; Dirac Equation; Discrete Symmetry; Geometric Quantization; Quantization Procedure;
D O I：
10.1007/s00023-003-0137-5
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The coadjoint orbit of the restricted Poincare 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 Poincare group obtained by the quantization procedure to the full Poincare group. The new representation is reducible and the reduction to an irreducible representation corresponds to the Dirac equation.
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页码：487 / 512
页数：26
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