Partial Differential Hamiltonian Systems

Details Partial Differential Hamiltonian Systems Partial Differential Hamiltonian Systems

2009-03-26

arxiv.org/abs/0903.4528v2

Mathematics

Differential Geometry

39 pages, references added, typos corrected

Scientific paper

We define partial differential (PD in the following), i.e., field theoretic, analogues of hamiltonian systems on abstract symplectic manifolds and study their main properties, namely, PD-Hamilton equations, PD-Noether theorem, PD-Poisson bracket, etc.. Unlike in standard multisymplectic approach to hamiltonian field theory, in our formalism the geometric structure (kinematics) and the dynamical information on the "phase space" appear as just different components of one single geometric object.

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