Limiting Absorption Principle and Local Decay for the Standard Model of Non-Relativistic QED.

For models of atoms and molecules made from static nuclei and
non-relativistic electrons coupled to the quantized radiation
field (standard model of non-relativistic QED), we prove a
limiting absorption principle in a neighborhood of the ground
state energy. As corollaries we derive local decay estimates for
the photon dynamics, and we prove absence of (excited) eigenvalues
and absolute continuity of the energy spectrum near the ground
state energy, a region of the spectrum not understood in previous
investigations.