A Variational Formulation of Symplectic Noncommutative Mechanics

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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17 pages, Latex. Accepted for publication in IJGMMP

Scientific paper

10.1142/S0219887807002296

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.

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