  We study the theory of scattering for the Maxwell-Schr"odinger system in the
Coulomb gauge in space dimension 3. We prove in particular the existence of
modified wave operators for that system with no size restriction on the
magnetic field data in the framework of a direct method which requires
smallness of the Schr"odinger data, and we determine the asymptotic behaviour
in time of solutions in the range of the wave operators.
