On the Weyl Representation of Metaplectic Operators

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dc.creatorDe Gosson, Maurice
dc.date2005-03-30
dc.date.accessioned2026-07-07T05:18:38Z
dc.date.available2026-07-07T05:18:38Z
dc.descriptionWe study the Weyl representation of metaplectic operators associated to a symplectic matrix having no non-trivial fixed point, and justify a formula suggested in earlier work of Mehlig and Wilkinson. We give precise calculations of the associated Maslov-type indices; these indices intervene in a crucial way in Gutzwiller's formula of semiclassical mechanics, and are simply related to an index defined by Conley and Zehnder.
dc.descriptionTo appear in Lett. Math. Physique
dc.identifierhttps://arxiv.org/abs/math/0503708
dc.identifierhttp://arxiv.org/abs/math/0503708
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74730
dc.subjectSymplectic Geometry
dc.subjectMathematical Physics
dc.subjectMSC: 81S30, 43A65, 43A32
dc.titleOn the Weyl Representation of Metaplectic Operators
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