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On the Weyl representation of metaplectic operators

We 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.

Identiferoai:union.ndltd.org:Potsdam/oai:kobv.de-opus-ubp:2986
Date January 2005
CreatorsGosson, Maurice A. de
PublisherUniversität Potsdam, Mathematisch-Naturwissenschaftliche Fakultät. Institut für Mathematik
Source SetsPotsdam University
LanguageEnglish
Detected LanguageEnglish
TypePreprint
Formatapplication/pdf
Rightshttp://opus.kobv.de/ubp/doku/urheberrecht.php

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