TY  - INPR
A1  - Gosson, Maurice A. de
T1  - On the Weyl representation of metaplectic operators
N2  - 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.
T3  - Preprint - (2005) 10 
KW  - Weyl symbol
KW  - metaplectic operators
KW  - Maslov and Conley–Zehnder index
KW  - Gutzwiller formula
Y1  - 2009
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/2818
UR  - https://nbn-resolving.org/urn:nbn:de:kobv:517-opus-29865
ER  -