{
  "id": "math/0510626",
  "version": "v1",
  "published": "2005-10-28T10:02:18.000Z",
  "updated": "2005-10-28T10:02:18.000Z",
  "title": "General results on the eigenvalues of operators with gaps, arising from both ends of the gaps. Application to Dirac operators",
  "authors": [
    "Jean Dolbeault",
    "Maria J. Esteban",
    "Eric séré"
  ],
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "This paper is concerned with {an extension and reinterpretation} of previous results on the variational characterization of eigenvalues in gaps of the essential spectrum of self-adjoint operators. {We state} two general abstract results on the existence of eigenvalues in the gap and a continuation principle. Then, these results are applied to Dirac operators in order to characterize simultaneously eigenvalues corresponding to electronic and positronic bound states.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-10-28T10:02:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dirac operators",
      "general results",
      "eigenvalues",
      "application",
      "positronic bound states"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....10626D"
    }
  }
}