Non-commutative mechanics and Exotic Galilean symmetry

Details Non-commutative mechanics and Exotic Galilean symmetry Non-commutative mechanics and Exotic Galilean symmetry

2010-11-15

arxiv.org/abs/1011.3545v2

Theoretical and Mathematical Physics, Volume 167, Issue 3, 2011 pp.816-825

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, Talk given at Nonlinear Physics. Theory and Experiment VI,Gallipoli (Lecce), Italy, June 23 - July 3, 2010

Scientific paper

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.

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