Abstract
A canonical formalism for spinning particles suitable for the formulations of a general relativistic covariant statistical mechanics of particles endowed with spin is developed. For that purpose the bracket for internal and external variables is given. In particular, limiting consideration to the spin tensor S/sup ..mu..v/, it has been possible to define momenta that are the true conjugates to the position variables. For the case considered the Hamiltonian function in addition to the invariant mass involves only one additional scalar. The equations of motion are then found by calculating the brackets of the dynamical variables with that Hamiltonian, and are compared to those obtained by other methods. The conjugate variables in the internal space that has to be adjoined to the (eight-dimensional) phase space for a complete covariant description of spinning particles are also given.
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