Relativistically covariant formulation of the canonical theory of classical fields I

Hiroshi Ozaki

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arXiv · hep-th/0010273

Relativistically covariant formulation of the canonical theory of classical fields I

Hiroshi Ozaki

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Abstract

An explicit Lorentz covariant formulation of the canonical theory for classical fields is established on a space-like hypersurface. Hamilton's equations and a Poisson bracket are defined on the space-like hypersurface. The Poisson bracket relations between total momentum and total angular momentum satisfies the Poincar{é} algebra. It is shown that our Poisson bracket has the same symplectic structure that was brought in the covariant symplectic approach.

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Hiroshi Ozaki. 2000-10-30. Relativistically covariant formulation of the canonical theory of classical fields I. https://arxiv.org/abs/hep-th/0010273

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