Geometrical origin of the *-product in the Fedosov formalism

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dc.creatorGadella, M.
dc.creatordel Olmo, M. A.
dc.creatorTosiek, J.
dc.date2004-05-18
dc.date.accessioned2026-07-07T10:30:02Z
dc.date.available2026-07-07T10:30:02Z
dc.descriptionThe construction of the *-product proposed by Fedosov is implemented in terms of the theory of fibre bundles. The geometrical origin of the Weyl algebra and the Weyl bundle is shown. Several properties of the product in the Weyl algebra are proved. Symplectic and abelian connections in the Weyl algebra bundle are introduced. Relations between them and the symplectic connection on a phase space M are established. Elements of differential symplectic geometry are included. Examples of the Fedosov formalism in quantum mechanics are given.
dc.descriptionLaTeX, 39 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0405157
dc.identifierhttp://arxiv.org/abs/hep-th/0405157
dc.identifierJ.Geom.Phys.55:316-352,2005
dc.identifierdoi:10.1016/j.geomphys.2004.12.010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/178016
dc.subjectHigh Energy Physics - Theory
dc.titleGeometrical origin of the *-product in the Fedosov formalism
dc.typetext

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