{
  "id": "1211.0268",
  "version": "v1",
  "published": "2012-11-01T19:54:16.000Z",
  "updated": "2012-11-01T19:54:16.000Z",
  "title": "On Rayleigh scattering in non-relativistic quantum electrodynamics",
  "authors": [
    "Jeremy Faupin",
    "Israel Michael Sigal"
  ],
  "comment": "12 pages. arXiv admin note: text overlap with arXiv:1202.6151",
  "categories": [
    "math-ph",
    "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-11-01T19:54:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non-relativistic quantum electrodynamics",
      "rayleigh scattering",
      "phonon case",
      "photon/phonon number",
      "asymptotic completeness"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1197885,
      "adsabs": "2012arXiv1211.0268F"
    }
  }
}