@unpublished{Gosson2005, author = {Gosson, Maurice A. de}, title = {On the Weyl representation of metaplectic operators}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-29865}, year = {2005}, abstract = {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.}, language = {en} }