RELATIVISTIC-EQUATIONS OF MOTION FROM POISSON BRACKETS

The inverse problem of Poisson dynamics is reviewed as well as a deriv ation of the Maxwell equations from a postulated set of Poisson bracke ts. The formalism is extended to the relativistic case by postulating Poisson brackets, as in the nonrelativistic case, and using the relati vistic Hamiltonian. A system of relativistic equations of motion is ob tained, and it is indicated that a system of consistency conditions re mains valid in this limit.