{
  "id": "1305.5334",
  "version": "v1",
  "published": "2013-05-23T07:13:49.000Z",
  "updated": "2013-05-23T07:13:49.000Z",
  "title": "Rigorous bounds for Renyi entropies of spherically symmetric potentials",
  "authors": [
    "Pablo Sánchez-Moreno",
    "Steeve Zozor",
    "Jesus S. Dehesa"
  ],
  "comment": "8 pages",
  "journal": "AIP Conference Proceedings 1305 (2011) 192-199",
  "doi": "10.1063/1.3573616",
  "categories": [
    "quant-ph"
  ],
  "abstract": "The R\\'enyi and Shannon entropies are information-theoretic measures which have enabled to formulate the position-momentum uncertainty principle in a much more adequate and stringent way than the (variance-based) Heisenberg-like relation. Moreover, they are closely related to various energetic density-functionals of quantum systems. Here we find sharp upper bounds to these quantities in terms of the second order moment $\\langle r^2\\rangle$ for general spherically symmetric potentials, which substantially improve previous results of this type, by means of the R\\'enyi maximization procedure with a covariance constraint due to Costa, Hero and Vignat \\cite{CosHer03}. The contributions to these bounds coming from the radial and angular parts of the physical wavefunctions are explicitly given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-05-23T07:13:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.70.Ce",
      "71.15.Mb",
      "03.65.Aa",
      "02.10.Yn",
      "02.30.Sa"
    ],
    "keywords": [
      "renyi entropies",
      "rigorous bounds",
      "position-momentum uncertainty principle",
      "renyi maximization procedure",
      "sharp upper bounds"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "AIP Conf. Proc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011AIPC.1305..192S"
    }
  }
}