  In this note we provide details of the proofs of the main results of our
paper [19] to the standard model of non-relativistic quantum electrodynamics in
which particles are minimally coupled to the quantized electromagnetic field at
energies below the ionization threshold. Recall that in [19] we proved several
lower bounds on the growth of the distance of the escaping photons/phonons to
the particle system. Using some of these results, we proved asymptotic
completeness (for Rayleigh scattering) on the states for which the expectation
of the photon/phonon number is bounded uniformly in time. However, we provided
details only for the phonon case.
