Long time semiclassical approximation of quantum flows: a proof of the Ehrenfest time

Dario Bambusi, Sandro Graffi, Thierry Paul

Let $\mathcal{H}(x,\xi )$ be a holomorphic Hamiltonian of quadratic growth on $R^{2n}$, $b$ a holomorphic exponentially localized observable, $H$, $B$ the corresponding operators on $L^…