2 citations · 5 across the 7 of their papers we have counts for
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Extension of the Conley--Zehnder Index and Calculation of the Maslov-Type Index Intervening in Gutzwiller's Trace Formula
Maurice De Gosson, Serge De Gosson
The aim of this paper is to give an explicit formula for the calculation of the Gutzwiller--Maslov index of a Hamiltonian periodic orbit. We identify the index appearing in Gutzwil…
A Weyl Calculus on Symplectic Phase Space
Maurice De Gosson
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…
Schrödinger Equation in Phase Space and Deformation Quantization
Maurice De Gosson
We justify the relevance of Torres-Vega Schrödinger equation in phase space using Stone-von Neumann's theorem, and relate it to deformation quantization.
On the Weyl Representation of Metaplectic Operators
Maurice De Gosson
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 Me…