A Weyl Calculus on Symplectic Phase Space
De Gosson, Maurice
arXiv, 0508024 / Harvested from arXiv
Text on arXiv
We study the twisted Weyl symbol of metaplectic operators; this requires the definition of an index for symplectic paths related to the Conley-Zehnder index. We thereafter define a metaplectically covariant algebra of pseudo-differential operators acting on functions on symplectic space.
Publié le : 2005-08-11
Classification:  Mathematical Physics,  Mathematics - Operator Algebras,  Mathematics - Representation Theory,  Mathematics - Symplectic Geometry 
@article{0508024,
     author = {De Gosson, Maurice},
     title = {A Weyl Calculus on Symplectic Phase Space},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0508024}
}

De Gosson, Maurice. A Weyl Calculus on Symplectic Phase Space. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0508024/