Asymptotic completeness for Rayleigh scattering

We consider an electron bound by some anharmonic external potential and coupled to the quantized radiation field in the dipole approximation. We prove asymptotic completeness for the photon scattering. This means that an arbitrary initial state has a long time asymptotic, which consists of electron plus radiation field in their coupled ground stale and finitely many outgoing photons. (C) 1997 American Institute of Physics.