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arxiv: math/0411453 · v1 · submitted 2004-11-20 · 🧮 math.SG · math-ph· math.MP

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On the Mehlig-Wilkinson representation of metaplectic operators

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classification 🧮 math.SG math-phmath.MP
keywords metaplecticoperatorsrepresentationassociatedcalculationscrucialformulagive
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We study the Weyl representation of metaplectic operators studied by Mehlig and Wilkinson. We give precise calculations ofthe associated Maslov indices; these intervene in a crucial way in Gutzwiller's trace formula of semiclassical mechanics.

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