Abstract
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.
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Communicated by B. Simon
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Wang, XP. Approximation semi-classique de l'equation de Heisenberg. Commun.Math. Phys. 104, 77–86 (1986). https://doi.org/10.1007/BF01210793
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DOI: https://doi.org/10.1007/BF01210793