{
  "id": "0805.1284",
  "version": "v1",
  "published": "2008-05-09T06:38:39.000Z",
  "updated": "2008-05-09T06:38:39.000Z",
  "title": "On the Spectrum of a Model Operator in Fock Space",
  "authors": [
    "Tulkin H. Rasulov",
    "Mukhiddin I. Muminov",
    "Mahir Hasanov"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "A model operator $H$ associated to a system describing four particles in interaction, without conservation of the number of particles, is considered. We describe the essential spectrum of $H$ by the spectrum of the channel operators and prove the Hunziker-van Winter-Zhislin (HWZ) theorem for the operator $H.$ We also give some variational principles for boundaries of the essential spectrum and interior eigenvalues.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-05-09T06:38:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81Q10",
      "35P20",
      "47N50"
    ],
    "keywords": [
      "model operator",
      "fock space",
      "essential spectrum",
      "interior eigenvalues",
      "channel operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0805.1284R"
    }
  }
}