{
  "id": "1005.5505",
  "version": "v1",
  "published": "2010-05-30T06:45:06.000Z",
  "updated": "2010-05-30T06:45:06.000Z",
  "title": "The Faddeev Equation and Essential Spectrum of a Hamiltonian in Fock Space",
  "authors": [
    "Mukhiddin I. Muminov",
    "Tulkin H. Rasulov"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "A Hamiltonian (model operator) $H$ associated to a quantum system describing three particles in interaction, without conservation of the number of particles, is considered. The Faddeev type system of equations for eigenvectors of $H$ is constructed. The essential spectrum of $H$ is described by the spectrum of the channel operator.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-05-30T06:45:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81Q10",
      "35P20",
      "47N50"
    ],
    "keywords": [
      "essential spectrum",
      "faddeev equation",
      "fock space",
      "hamiltonian",
      "faddeev type system"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 856923,
      "adsabs": "2010arXiv1005.5505M"
    }
  }
}