{
  "id": "1605.02949",
  "version": "v1",
  "published": "2016-05-10T11:34:10.000Z",
  "updated": "2016-05-10T11:34:10.000Z",
  "title": "The absence of the ground state for Coulomb systems with the critical charge",
  "authors": [
    "Yukimi Goto"
  ],
  "comment": "5 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider a N-particles Schr\\\"odinger operator with Coulomb interaction with K static nuclei. Let Z_c denote the maximal value of the total nuclear charge that one can remove the excess particles from a molecule without changing the energy. We prove that the system with the critical charge Z_c has no ground state if Z_c = N - 1.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-10T11:34:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ground state",
      "critical charge",
      "coulomb systems",
      "total nuclear charge",
      "coulomb interaction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}