A Variational Formulation of Symplectic Noncommutative Mechanics
High Energy Physics - Theory
2008-11-26 v1 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
The standard lore in noncommutative physics is the use of first order variational description of a dynamical system to probe the space noncommutativity and its consequences in the dynamics in phase space. As the ultimate goal is to understand the inherent space noncommutativity we propose a variational principle for noncommutative dynamical systems in configuration space, based on results of our previous work [14]. We hope that this variational formulation in configuration space can be of help to elucidate the definition of some global and dynamical properties of classical and quantum noncommutative space.
Keywords
Cite
@article{arxiv.hep-th/0703205,
title = {A Variational Formulation of Symplectic Noncommutative Mechanics},
author = {Ignacio Cortese and J. Antonio Garcia},
journal= {arXiv preprint arXiv:hep-th/0703205},
year = {2008}
}
Comments
17 pages, Latex. Accepted for publication in IJGMMP