{
  "id": "math-ph/0506051",
  "version": "v2",
  "published": "2005-06-20T16:12:18.000Z",
  "updated": "2012-01-12T10:06:17.000Z",
  "title": "Localizations at infinity and essential spectrum of quantum Hamiltonians: I. General theory",
  "authors": [
    "Vladimir Georgescu",
    "Andrei Iftimovici"
  ],
  "comment": "63 pages. This is the published version with several corrections",
  "journal": "Rev. Math. Phys. 18(4) 417-483 (2006)",
  "doi": "10.1142/S0129055X06002693",
  "categories": [
    "math-ph",
    "math.MP",
    "math.SP"
  ],
  "abstract": "We isolate a large class of self-adjoint operators H whose essential spectrum is determined by their behavior at large x and we give a canonical representation of their essential spectrum in terms of spectra of limits at infinity of translations of H. The configuration space is an arbitrary abelian locally compact not compact group.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-01-12T10:06:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A10",
      "81Q10",
      "46L60",
      "46N50",
      "47L65",
      "47L90",
      "47L80"
    ],
    "keywords": [
      "essential spectrum",
      "quantum hamiltonians",
      "general theory",
      "localizations",
      "arbitrary abelian locally compact"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Reviews in Mathematical Physics",
      "year": 2006,
      "volume": 18,
      "number": 4,
      "pages": 417
    },
    "note": {
      "typesetting": "TeX",
      "pages": 63,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006RvMaP..18..417G"
    }
  }
}