Extended phase space for a spinning particle

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pages, latex

Scientific paper

10.1088/0305-4470/28/24/028

Extended phase space of an elementary (relativistic) system is introduced in the spirit of the Souriau's definition of the `space of motions' for such system. Our formulation is generally applicable to any homogeneous space-time (e.g. de Sitter) and also to Poisson actions. Calculations concerning the Minkowski case for non-zero spin particles show an intriguing alternative: we should either accept two-dimensional trajectories or (Poisson) noncommuting space-time coordinates.

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