{
  "id": "0712.3120",
  "version": "v1",
  "published": "2007-12-19T08:40:26.000Z",
  "updated": "2007-12-19T08:40:26.000Z",
  "title": "Trace formulae for dissipative and coupled scattering systems",
  "authors": [
    "Jussi Behrndt",
    "Mark M. Malamud",
    "Hagen Neidhardt"
  ],
  "comment": "38 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "For scattering systems consisting of a (family of) maximal dissipative extension(s) and a selfadjoint extension of a symmetric operator with finite deficiency indices, the spectral shift function is expressed in terms of an abstract Titchmarsh-Weyl function and a variant of the Birman-Krein formula is proved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-12-19T08:40:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A40",
      "47A55",
      "47B44"
    ],
    "keywords": [
      "coupled scattering systems",
      "trace formulae",
      "finite deficiency indices",
      "abstract titchmarsh-weyl function",
      "spectral shift function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 38,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0712.3120B"
    }
  }
}