Wigner functions, Fresnel optics, and symplectic connections on phase space

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dc.creatorIsidro, J. M.
dc.date2007-10-18
dc.date.accessioned2026-07-07T11:53:40Z
dc.date.available2026-07-07T11:53:40Z
dc.descriptionWe prove that Wigner functions contain a symplectic connection. The latter covariantises the symplectic exterior derivative on phase space. We analyse the role played by this connection and introduce the notion of local symplectic covariance of quantum-mechanical states. This latter symmetry is at work in the Schroedinger equation on phase space.
dc.identifierhttps://arxiv.org/abs/0710.3544
dc.identifierhttp://arxiv.org/abs/0710.3544
dc.identifierInt.J.Geom.Meth.Mod.Phys.5:663-676,2008
dc.identifierdoi:10.1142/S0219887808003089
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/204624
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleWigner functions, Fresnel optics, and symplectic connections on phase space
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