{
  "id": "1307.4904",
  "version": "v1",
  "published": "2013-07-18T10:59:54.000Z",
  "updated": "2013-07-18T10:59:54.000Z",
  "title": "A connection between the Uncertainty Principles on the real line and on the circle",
  "authors": [
    "Nils Byrial Andersen"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "The purpose of this short note is to exhibit a new connection between the Heisenberg Uncertainty Principle on the line and the Breitenberger Uncertainty Principle on the circle, by considering the commutator of the multiplication and difference operators on Bernstein functions",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-07-18T10:59:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "real line",
      "connection",
      "heisenberg uncertainty principle",
      "breitenberger uncertainty principle",
      "bernstein functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.4904B"
    }
  }
}