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On the Mehlig-Wilkinson representation of metaplectic operators

Maurice A. de Gosson

math.SGarXiv:math/0411453

Abstract

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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