{
  "id": "math/0301002",
  "version": "v2",
  "published": "2003-01-01T15:00:48.000Z",
  "updated": "2003-01-25T14:30:08.000Z",
  "title": "The uncertainty principle for operators determined by Lie groups",
  "authors": [
    "Jens Gerlach Christensen"
  ],
  "comment": "2 pages",
  "categories": [
    "math.DG",
    "math-ph",
    "math.MP"
  ],
  "abstract": "For unbounded operators A,B and C in general, with C closure of [A,B] does not lead to the uncertainty relation ||Au|| ||Bu|| >= |<C u,u> |/2. If A,B and C are part of the generators of a unitary representation of a Lie group then the uncertainty principle above holds.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-01-25T14:30:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E45",
      "47B15",
      "47B25",
      "81Q10"
    ],
    "keywords": [
      "lie group",
      "uncertainty principle",
      "uncertainty relation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 2,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......1002G"
    }
  }
}