A Weyl Calculus on Symplectic Phase Space
Mathematical Physics
2007-05-23 v2 math.MP
Operator Algebras
Representation Theory
Symplectic Geometry
Abstract
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.
Cite
@article{arxiv.math-ph/0508024,
title = {A Weyl Calculus on Symplectic Phase Space},
author = {Maurice De Gosson},
journal= {arXiv preprint arXiv:math-ph/0508024},
year = {2007}
}