A Variational Formulation of Symplectic Noncommutative Mechanics
arXiv:hep-th/0703205 · doi:10.1142/S0219887807002296
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.
17 pages, Latex. Accepted for publication in IJGMMP