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…
A Surprising Property of Multidimensional Hamiltonian Systems; Application to Semiclassical Quantization of Phase Space
Maurice de Gosson
Symplectic topology has become a thriving area of research in mathematics and physics since Gromov's discovery in 1985 of a surprising property of canonical transformations (and he…
Some p-adic differential equations
M. de Gosson, B. Dragovich, A. Khrennikov
We investigate various properties of p-adic differential equations which have as a solution an analytic function of the form , where $P_k (…