{
  "id": "math-ph/0608022",
  "version": "v1",
  "published": "2006-08-08T07:29:14.000Z",
  "updated": "2006-08-08T07:29:14.000Z",
  "title": "Positivity and lower bounds to the decay of the atomic one-electron density",
  "authors": [
    "Søren Fournais",
    "Maria Hoffmann-Ostenhof",
    "Thomas Hoffmann-Ostenhof",
    "Thomas Østergaard Sørensen"
  ],
  "comment": "20 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We investigate properties of the spherically averaged atomic one-electron density rho~(r). For a rho~ which stems from a physical ground state we prove that rho~ > 0. We also give exponentially decreasing lower bounds to rho~ in the case when the eigenvalue is below the corresponding essential spectrum.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-08-08T07:29:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81V45",
      "81Q05",
      "35J10",
      "35B04",
      "35B40"
    ],
    "keywords": [
      "positivity",
      "spherically averaged atomic one-electron density",
      "physical ground state",
      "exponentially decreasing lower bounds",
      "corresponding essential spectrum"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.ph...8022F"
    }
  }
}