On Rayleigh scattering in non-relativistic quantum electrodynamics
Mathematical Physics
2012-11-02 v1 math.MP
Abstract
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.
Cite
@article{arxiv.1211.0268,
title = {On Rayleigh scattering in non-relativistic quantum electrodynamics},
author = {Jeremy Faupin and Israel Michael Sigal},
journal= {arXiv preprint arXiv:1211.0268},
year = {2012}
}
Comments
12 pages. arXiv admin note: text overlap with arXiv:1202.6151