Hidden Nambu mechanics - A variant formulation of Hamiltonian systems -
Mathematical Physics
2013-09-13 v3 High Energy Physics - Theory
math.MP
Classical Physics
Abstract
We propose a variant formulation of Hamiltonian systems by the use of variables including redundant degrees of freedom. We show that Hamiltonian systems can be described by extended dynamics whose master equation is the Nambu equation or its generalization. Partition functions associated with the extended dynamics in many degrees of freedom systems are given. Our formulation can also be applied to Hamiltonian systems with first class constraints.
Keywords
Cite
@article{arxiv.1304.2086,
title = {Hidden Nambu mechanics - A variant formulation of Hamiltonian systems -},
author = {Atsushi Horikoshi and Yoshiharu Kawamura},
journal= {arXiv preprint arXiv:1304.2086},
year = {2013}
}
Comments
20 pages, some typos corrections