{
  "id": "1302.2829",
  "version": "v1",
  "published": "2013-02-12T15:50:26.000Z",
  "updated": "2013-02-12T15:50:26.000Z",
  "title": "Existence and Construction of Resonances for Atoms Coupled to the Quantized Radiation Field",
  "authors": [
    "Volker Bach",
    "Miguel Ballesteros",
    "Alessandro Pizzo"
  ],
  "comment": "116 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "For a nonrelativistic atom, which is minimally coupled to the quantized radiation field, resonances emerging from excited atomic eigenstates are constructed by an iteration scheme inspired by \\cite{Pizzo2003} and \\cite{BachFrohlichPizzo2006}. This scheme successively removes an infrared cut off in momentum space and yields a convergent algorithm enabling us to calculate the resonance eigenvalues and eigenstates, to arbitrary order in the feinstructure constant $\\alpha \\sim 1/137$, and is thus an alternative method of proof of a similar result obtained in \\cite{Sigal2010}.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-02-12T15:50:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantized radiation field",
      "construction",
      "nonrelativistic atom",
      "iteration scheme"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 116,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1302.2829B"
    }
  }
}