On the use of projectors for Hamiltonian systems and their relationship with Dirac brackets
Mathematical Physics
2013-03-08 v1 math.MP
Chaotic Dynamics
Fluid Dynamics
Abstract
The role of projectors associated with Poisson brackets of constrained Hamiltonian systems is analyzed. Projectors act in two instances in a bracket: in the explicit dependence on the variables and in the computation of the functional derivatives. The role of these projectors is investigated by using Dirac's theory of constrained Hamiltonian systems. Results are illustrated by three examples taken from plasma physics: magnetohydrodynamics, the Vlasov-Maxwell system, and the linear two-species Vlasov system with quasineutrality.
Keywords
Cite
@article{arxiv.1205.2347,
title = {On the use of projectors for Hamiltonian systems and their relationship with Dirac brackets},
author = {Cristel Chandre and Loïc De Guillebon and Aurore Back and Emanuele Tassi and Philip Morrison},
journal= {arXiv preprint arXiv:1205.2347},
year = {2013}
}