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The SO(3,3) group as a common basis for Dirac's and Proca's equations
Authors:M. Petráš
Affiliation:(1) Department of Theoretical Physics, Comenius University, 842 15 Bratislava, Slovakia
Abstract:
Dirac's and Proca's equations are unified in the sense that the algebras of Dirac gamma-matrices and Duffin-Kemmerbeta-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.
Keywords:
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