Phase Flows and Vector Hamiltonians
Differential Geometry
2011-05-18 v1 Mathematical Physics
math.MP
Abstract
We present a generalization of the Nambu mechanics on the base of Liouville's theorem. We prove that the Poisson structure of an n-dimensional multisymplectic phase space is induced by (n-1)-Hamiltonian k-vector field seach of which requires introduction of k-Hamiltonians.
Cite
@article{arxiv.1105.3315,
title = {Phase Flows and Vector Hamiltonians},
author = {V. N. Dumachev},
journal= {arXiv preprint arXiv:1105.3315},
year = {2011}
}
Comments
10 pages