  We study the dynamics of large polarons described by the Froehlich
Hamiltonian in the limit of strong coupling. The initial conditions are
(perturbations of) product states of an electron wave function and a phonon
coherent state, as suggested by Pekar. We show that, to leading order on the
natural time scale of the problem, the phonon field is stationary and the
electron moves according to an effective linear Schroedinger equation.
