2 citations · 5 across the 7 of their papers we have counts for
8 papers
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…
On the Mehlig-Wilkinson representation of metaplectic operators
Maurice A. de Gosson
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 crucia…
On the goodness of "quantum blobs" in phase space quantization
Maurice de Gosson
We replace the usual notion of quantum cell from statistical mechanics by that of "quantum blob". A quantum blob is the transform, by a linaer symplectic transformation, of a phase…