Lorentz-Covariant Hamiltonian Formalism

Details Lorentz-Covariant Hamiltonian Formalism Lorentz-Covariant Hamiltonian Formalism

2000-04-03

arxiv.org/abs/physics/0004005v1

Int.J.Theor.Phys. 39 (2000) 1055-1068

Physics

Classical Physics

16 pages

Scientific paper

The dynamic of a classical system can be expressed by means of Poisson brackets. In this paper we generalize the relation between the usual non covariant Hamiltonian and the Poisson brackets to a covariant Hamiltonian and new brackets in the frame of the Minkowski space. These brackets can be related to those used by Feynman in his derivation of Maxwell's equations. The case of curved space is also considered with the introduction of Christoffel symbols, covariant derivatives, and curvature tensors.

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