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arXiv · 1011.3545

Non-commutative mechanics and Exotic Galilean symmetry

Luigi Martina
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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.

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Luigi Martina. 2011-01-15. Non-commutative mechanics and Exotic Galilean symmetry. https://doi.org/10.1007/s11232-011-0065-3

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