{
  "id": "2101.06539",
  "version": "v1",
  "published": "2021-01-16T22:46:17.000Z",
  "updated": "2021-01-16T22:46:17.000Z",
  "title": "A Statistical Theory of Heavy Atoms: Asymptotic Behavior of the Energy and Stability of Matter",
  "authors": [
    "Heinz Siedentop"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We give the asymptotic behavior of the ground state energy of Engel's and Dreizler's relativistic Thomas-Fermi-Weizs\\\"acker-Dirac functional for heavy atoms for fixed ratio of the atomic number and the velocity of light. Using a variation of the lower bound, we show stability of matter.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-01-16T22:46:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81V45"
    ],
    "keywords": [
      "asymptotic behavior",
      "heavy atoms",
      "statistical theory",
      "ground state energy",
      "atomic number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}