Dirac brackets from magnetic backgrounds

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dc.creatorIsidro, J. M.
dc.date2006-11-02
dc.date.accessioned2026-07-07T11:22:57Z
dc.date.available2026-07-07T11:22:57Z
dc.descriptionIn symplectic mechanics, the magnetic term describing the interaction between a charged particle and an external magnetic field has to be introduced by hand. On the contrary, in generalised complex geometry, such magnetic terms in the symplectic form arise naturally by means of B-transformations. Here we prove that, regarding classical phase space as a generalised complex manifold, the transformation law for the symplectic form under the action of a weak magnetic field gives rise to Dirac's prescription for Poisson brackets in the presence of constraints.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0611026
dc.identifierhttp://arxiv.org/abs/hep-th/0611026
dc.identifierInt.J.Geom.Meth.Mod.Phys.4:523-532,2007
dc.identifierdoi:10.1142/S0219887807002181
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/194745
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleDirac brackets from magnetic backgrounds
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