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.
Identifer | oai:union.ndltd.org:Potsdam/oai:kobv.de-opus-ubp:2986 |
Date | January 2005 |
Creators | Gosson, Maurice A. de |
Publisher | Universität Potsdam, Mathematisch-Naturwissenschaftliche Fakultät. Institut für Mathematik |
Source Sets | Potsdam University |
Language | English |
Detected Language | English |
Type | Preprint |
Format | application/pdf |
Rights | http://opus.kobv.de/ubp/doku/urheberrecht.php |
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