Approximation semi-classique de l'equation de Heisenberg. (Semi-classical approximation of the Heisenberg equation) (Q1087749)

We study the semi-classical approximation for the solution of Heisenberg equation in terms of pseudo-differential operators and establish a semi- classical version of Egorov's theorem. As an application of these results, we get the classical limit of quantum mechanical correlation functions for a class of non-bounded observables.