On the Weyl Representation of Metaplectic Operators
De Gosson, Maurice
HAL, hal-00004602 / Harvested from HAL
Text on HAL
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:  Maslov and Conley-Zehnder index,  Gutzwiller formula,  metaplectic operators,  Weyl symbol,  MSC: 81S30, 43A65, 43A32,  [MATH.MATH-SG]Mathematics [math]/Symplectic Geometry [math.SG],  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph] 
@article{hal-00004602,
     author = {De Gosson, Maurice},
     title = {On the Weyl Representation of Metaplectic Operators},
     journal = {HAL},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00004602}
}

De Gosson, Maurice. On the Weyl Representation of Metaplectic Operators. HAL, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/hal-00004602/