Equations of motion, Noncommutativity and Quantization

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dc.creatorCortese, Ignacio
dc.creatorGarcía, J. Antonio
dc.date2006-05-16
dc.date.accessioned2026-07-07T10:42:19Z
dc.date.available2026-07-07T10:42:19Z
dc.descriptionWe study the relation between a given set of equations of motion in configuration space and a Poisson bracket. A Poisson structure is consistent with the equations of motion if the symplectic form satisfy some consistency conditions. When the symplectic structure is commutative these conditions are the Helmholtz integrability equations for the nonrestricted inverse problem of the calculus of variations. We have found the corresponding consistency conditions for the symplectic noncommutative case.
dc.description18 pages, to appear PLA
dc.identifierhttps://arxiv.org/abs/hep-th/0605156
dc.identifierhttp://arxiv.org/abs/hep-th/0605156
dc.identifierPhys.Lett.A358:327-333,2006
dc.identifierdoi:10.1016/j.physleta.2006.05.044
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/181905
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectMathematical Physics
dc.titleEquations of motion, Noncommutativity and Quantization
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