  We discuss photon number bounds for a system of non-relativistic particles
coupled to the quantized electromagnetic field (non-relativistic QED), below
the ionization threshold. Such a bound was assumed in the proof of asymptotic
completeness for Rayleigh scattering in our paper [3] (Condition (1.20) of
Theorem 1.3 in [3]). We show how this assumption can be weakened and verified
for a class of hamiltonians.
