On the Mehlig-Wilkinson representation of metaplectic operators

2004/11/20 by Maurice A. de Gosson, de Gosson, Maurice A.
Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #NA #Symplectic Geometry (math.SG) #math-ph #math.MP #math.SG

paper · pdf · doi:10.48550/arxiv.math/0411453

9 pages

arxiv created 2004/11/20 · arxiv updated 2009/12/01

Abstract

We study the Weyl representation of metaplectic operators studied by Mehlig and Wilkinson. We give precise calculations ofthe associated Maslov indices; these intervene in a crucial way in Gutzwiller's trace formula of semiclassical mechanics.

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