arXiv · hep-th/9412100
Extended phase space for a spinning particle
Abstract
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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S. Zakrzewski. 1994-12-12. Extended phase space for a spinning particle. https://doi.org/10.1088/0305-4470%2F28%2F24%2F028
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