Abstract
A recently formulated procedure for the quantization of relativistic systems on phase space (defined initially as a coset space of the Poincaré group) is described. The wave functions of the elementary systems lead to proper probability distributions, for the stochastic localization of the corresponding particles in phase space, and possess conserved currents. The non-relativistic limit is considered briefly, and finally, the procedure is applied to obtain a 2-component covariant equation of motion for a spin — 1/2 charged particle in an external electromagnetic field. The stability of the system, against zitterbewegung effects, is discussed.
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Ali, S.T. Quantization of relativistic systems on phase space. Czech J Phys 32, 609–613 (1982). https://doi.org/10.1007/BF01596700
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DOI: https://doi.org/10.1007/BF01596700