This article is cited in 6 papers

Noncommutative mechanics and exotic Galilean symmetry

L. Martina<sup>ab

a</sup> INFN, Sezione di Lecce, Lecce, Italy
^b Dipartimento di Fisica, Università del Salento, Lecce, Italy

Abstract: 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, Lagrange–Souriau formalism, Hamiltonian structure.

Received: 23.06.2011

DOI: 10.4213/tmf6656

 English version: Theoretical and Mathematical Physics, 2011, 167:3, 816–825

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