English

Extended phase space for a spinning particle

High Energy Physics - Theory 2009-10-28 v1

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.

Keywords

Cite

@article{arxiv.hep-th/9412100,
  title  = {Extended phase space for a spinning particle},
  author = {S. Zakrzewski},
  journal= {arXiv preprint arXiv:hep-th/9412100},
  year   = {2009}
}

Comments

12 pages, latex

R2 v1 2026-07-22T15:52:53.259Z