Non-commutative mechanics and Exotic Galilean symmetry
arXiv:1011.3545 · doi:10.1007/s11232-011-0065-3
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.
15 pages, Talk given at Nonlinear Physics. Theory and Experiment VI,Gallipoli (Lecce), Italy, June 23 - July 3, 2010
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