  The standard model of non-relativistic quantum electrodynamics describes
non-relativistic quantum matter, such as atoms and molecules, coupled to the
quantized electromagnetic field. Within this model, we review basic notions,
results and techniques in the theory of radiation. We describe the key
technique in this area - the spectral renormalization group. Our review is
based on joint works with Volker Bach and Juerg Froehlich and with Walid Abou
Salem, Thomas Chen, Jeremy Faupin and Marcel Griesemer. Brief discussion of
related contributions is given at the end of these lectures. This review will
appear in "Quantum Theory from Small to Large Scales", Lecture Notes of the Les
Houches Summer Schools, volume 95, Oxford University Press, 2011. Key words:
quantum electrodynamics, photons and electrons, renormalization group, quantum
resonances, spectral theory, Schroedinger operators, ground state, quantum
dynamics, non-relativistic theory.
