A Weyl Calculus on Symplectic Phase Space

Details A Weyl Calculus on Symplectic Phase Space A Weyl Calculus on Symplectic Phase Space

2005-08-11

arxiv.org/abs/math-ph/0508024v2

Physics

Mathematical Physics

Scientific paper

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.

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