{
  "id": "math-ph/0111032",
  "version": "v3",
  "published": "2001-11-17T23:25:46.000Z",
  "updated": "2003-07-26T09:48:35.000Z",
  "title": "Asymptotic Completeness for Compton Scattering",
  "authors": [
    "J. Froehlich",
    "M. Griesemer",
    "B. Schlein"
  ],
  "comment": "gap of previous version closed, large parts rewritten, more general results and more comprehensive exposition. 64 pages, 3 figures",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "Scattering in a model of a massive quantum-mechanical particle, an ``electron'', interacting with massless, relativistic bosons, ``photons'', is studied. The interaction term in the Hamiltonian of our model describes emission and absorption of ``photons'' by the ``electron''; but ``electron-positron'' pair production is suppressed. An ultraviolet cutoff and an (arbitrarily small, but fixed) infrared cutoff are imposed on the interaction term. In a range of energies where the propagation speed of the dressed ``electron'' is strictly smaller than the speed of light, unitarity of the scattering matrix is proven, provided the coupling constant is small enough; (asymptotic completeness of Compton scattering). The proof combines a construction of dressed one--electron states with propagation estimates for the ``electron'' and the ``photons''.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2003-07-26T09:48:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81V10",
      "81U99"
    ],
    "keywords": [
      "asymptotic completeness",
      "compton scattering",
      "interaction term",
      "dressed one-electron states",
      "ultraviolet cutoff"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 64,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math.ph..11032F"
    }
  }
}