Geodesic
Noncommutative mechanics and exotic Galilean symmetry
Teoretičeskaâ i matematičeskaâ fizika, Tome 167 (2011) no. 3, pp. 484-495

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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 
@article{TMF_2011_167_3_a12,
     author = {L. Martina},
     title = {Noncommutative mechanics and exotic {Galilean} symmetry},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {484--495},
     publisher = {mathdoc},
     volume = {167},
     number = {3},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2011_167_3_a12/}
}
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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/