{
  "id": "math-ph/0203008",
  "version": "v3",
  "published": "2002-03-06T16:43:01.000Z",
  "updated": "2002-09-03T00:21:42.000Z",
  "title": "Zeno Dynamics of von Neumann Algebras",
  "authors": [
    "Andreas U. Schmidt"
  ],
  "comment": "Revised version; further typos corrected; 9 pages, AMSLaTeX",
  "journal": "J. Phys. A 35 (18 September 2002) 7817-7825",
  "doi": "10.1088/0305-4470/35/36/309",
  "categories": [
    "math-ph",
    "math.FA",
    "math.MP",
    "math.OA",
    "quant-ph"
  ],
  "abstract": "The dynamical quantum Zeno effect is studied in the context of von Neumann algebras. We identify a localized subalgebra on which the Zeno dynamics acts by automorphisms. The Zeno dynamics coincides with the modular dynamics of that subalgebra, if an additional assumption is satisfied. This relates the modular operator of that subalgebra to the modular operator of the original algebra by a variant of the Kato-Lie-Trotter product formula.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2002-09-03T00:21:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46L60",
      "81P15",
      "81R15"
    ],
    "keywords": [
      "von neumann algebras",
      "modular operator",
      "dynamical quantum zeno effect",
      "zeno dynamics coincides",
      "kato-lie-trotter product formula"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2002,
      "month": "Sep",
      "volume": 35,
      "number": 36,
      "pages": 7817
    },
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002JPhA...35.7817S"
    }
  }
}