Poisson bracket in classical field theory as a derived bracket

Details Poisson bracket in classical field theory as a derived bracket Poisson bracket in classical field theory as a derived bracket

2008-01-19

arxiv.org/abs/0801.3023v2

Int. J. Geom. Meth. Mod. Phys. 5 (2008) 1051

Physics

Mathematical Physics

4 pages

Scientific paper

We construct a Leibniz bracket on the space $\Omega^\bullet (J^k (\pi))$ of
all differential forms over the finite-dimensional jet bundle $J^k (\pi)$. As
an example, we write Maxwell equations with sources in the covariant
finite-dimensional hamiltonian form.

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