{
  "id": "1104.3082",
  "version": "v1",
  "published": "2011-04-15T15:12:34.000Z",
  "updated": "2011-04-15T15:12:34.000Z",
  "title": "Resolvent smoothness and local decay at low energies for the standard model of non-relativistic QED",
  "authors": [
    "Jean-Francois Bony",
    "Jérémy Faupin"
  ],
  "comment": "31 pages",
  "categories": [
    "math-ph",
    "math.MP",
    "math.SP"
  ],
  "abstract": "We consider an atom interacting with the quantized electromagnetic field in the standard model of non-relativistic QED. The nucleus is supposed to be fixed. We prove smoothness of the resolvent and local decay of the photon dynamics for quantum states in a spectral interval I just above the ground state energy. Our results are uniform with respect to I. Their proofs are based on abstract Mourre's theory, a Mourre inequality established in [FGS1], Hardy-type estimates in Fock space, and a low-energy dyadic decomposition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-04-15T15:12:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q40",
      "47A10",
      "81Q10",
      "81Q15",
      "81V10"
    ],
    "keywords": [
      "local decay",
      "standard model",
      "resolvent smoothness",
      "low energies",
      "non-relativistic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1104.3082B"
    }
  }
}