Symmetries in Non Commutative Configuration space
Abstract
Extending earlier work(*), we examine the deformation of the canonical symplectic structure in a cotangent bundle by additional terms implying the Poisson non-commutativity of both configuration and momentum variables. In this short note, we claim this can be done consistently when is a Lie group. -- (*) F.J.Vanhecke, C.Sigaud and A.R.da Silva, arXiv:math-phys/0502003(2005) and Braz.J.Phys.{\bf 36},no IB,194(2006)
Cite
@article{arxiv.math-ph/0610009,
title = {Symmetries in Non Commutative Configuration space},
author = {F. J. Vanhecke and C. Sigaud and A. R. da Silva},
journal= {arXiv preprint arXiv:math-ph/0610009},
year = {2008}
}
Comments
comunicated at the $V^{th}$ International Conference on Mathematical Methods in Physics -IC2006, april 2006, CBPF, Rio de Janeiro, at the First Latin American Conference on Lie Groups in Geometry, june 2006, Campinas and at the $XXVII^{th}$ National Meeting of Particle Physicds and Field Theory, september 2006, \'{A}guas de Lind\'{o}ia, S\^{a}o Paulo