Non-commutative mechanics and Exotic Galilean symmetry
High Energy Physics - Theory
2015-05-20 v2
Abstract
In order to derive a large set of Hamiltonian dynamical systems, but with only first order Lagrangian, we resort to the formulation in terms of Lagrange-Souriau 2-form formalism. A wide class of systems derived in different phenomenological contexts are covered. The non-commutativity of the particle position coordinates are a natural consequence. Some explicit examples are considered.
Keywords
Cite
@article{arxiv.1011.3545,
title = {Non-commutative mechanics and Exotic Galilean symmetry},
author = {Luigi Martina},
journal= {arXiv preprint arXiv:1011.3545},
year = {2015}
}
Comments
15 pages, Talk given at Nonlinear Physics. Theory and Experiment VI,Gallipoli (Lecce), Italy, June 23 - July 3, 2010