The SO(3,3) group as a common basis for Dirac's and Proca's equations
1995Citations per year
Abstract: (Springer)
Dirac's and Proca's equations are unified in the sense that the algebras of Dirac γ-matrices and Duffin-Kemmerβ-matrices are shown to furnish two distinct matrix representations of the Lie algebra of the SO(3,3)-group. This fact is then interpreted as evidence for the classical picture of particles described by the above-mentioned equations to be a relativistic top. It is also argued that the shape of the top is rod-like.- symmetry: SO(3,3)
- group theory: representation
- Dirac equation
- Proca equation
- particle: model
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