The classical mechanics for bose-fermi systems

@article{Casalbuoni1976TheCM,
  title={The classical mechanics for bose-fermi systems},
  author={Roberto Casalbuoni},
  journal={Il Nuovo Cimento A (1965-1970)},
  year={1976},
  volume={33},
  pages={389-431}
}
SummaryIn this paper we study in a systematic way the classical mechanics of systems described byc-number variables and by Grassmann variables. We derive the general form of the nonrelativistic action and we study the theory of canonical transformations. For a general action, we show that the Jacobian matrices of the canonical transformations acting onN Grassmann variables form a groupON, N. This group becomesON for the nonrelativistic action, due to the presence of second-class constraints. We… Expand
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