Partial Differential Hamiltonian Systems
Differential Geometry
2013-10-08 v3 Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.0903.4528,
title = {Partial Differential Hamiltonian Systems},
author = {L. Vitagliano},
journal= {arXiv preprint arXiv:0903.4528},
year = {2013}
}
Comments
30 pages, the current version agrees with the published version