Geodesic
Noncommutative mechanics and exotic Galilean symmetry
Teoretičeskaâ i matematičeskaâ fizika, Tome 167 (2011) no. 3, pp. 484-495 Cet article a éte moissonné depuis la source Math-Net.Ru

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In terms of the Lagrange–Souriau 2-form formalism, we describe a wide set of Hamiltonian dynamical systems with first-order Lagrangians. We consider a wide class of systems derived in different phenomenological contexts. The noncommutativity of the particle position coordinates are a natural consequence. We present various explicit examples.
Keywords: dynamical system, Hamiltonian structure.
Mots-clés : Lagrange–Souriau formalism 
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L. Martina. Noncommutative mechanics and exotic Galilean symmetry. Teoretičeskaâ i matematičeskaâ fizika, Tome 167 (2011) no. 3, pp. 484-495. http://geodesic.mathdoc.fr/item/TMF_2011_167_3_a12/

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