On the Weyl Representation of Metaplectic Operators
De Gosson, Maurice
arXiv, 0503708 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2005-03-30
Classification:  Mathematics - Symplectic Geometry,  Mathematical Physics,  MSC: 81S30, 43A65, 43A32 
@article{0503708,
     author = {De Gosson, Maurice},
     title = {On the Weyl Representation of Metaplectic Operators},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0503708}
}

De Gosson, Maurice. On the Weyl Representation of Metaplectic Operators. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0503708/