Abstract
Developing some earlier work for spin-zerosystems found in the literature, we use some recentlyobtained generalized systems of covariance for thePoincare group to suggest a method for definingcovariant localization operators on phase space formassive relativistic particles with arbitrary integralor half-integral spins. These operators lead tooperationally defined position operators on spacelikehyperplanes, which turn out to be the Newton-Wigneroperators, and, as in the earlier results on spin-zerosystems, admit a consistent probability interpretationwith conserved currents.
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Ali, S.T. Systems of Covariance in Relativistic Quantum Mechanics. International Journal of Theoretical Physics 37, 365–373 (1998). https://doi.org/10.1023/A:1026687306214
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DOI: https://doi.org/10.1023/A:1026687306214