{
  "id": "0911.2616",
  "version": "v1",
  "published": "2009-11-13T14:13:25.000Z",
  "updated": "2009-11-13T14:13:25.000Z",
  "title": "Asymptotics near +-m of the spectral shift function for Dirac operators with non-constant magnetic fields",
  "authors": [
    "Rafael Tiedra De Aldecoa"
  ],
  "comment": "26 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider a 3-dimensional Dirac operator H_0 with non-constant magnetic field of constant direction, perturbed by a sign-definite matrix-valued potential V decaying fast enough at infinity. Then we determine asymptotics, as the energy goes to +m and -m, of the spectral shift function for the pair (H_0,H_0+V). We obtain, as a by-product, a generalised version of Levinson's Theorem relating the eigenvalues asymptotics of H_0+V near +m and -m to the scattering phase shift for the pair (H_0,H_0+V).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-11-13T14:13:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q41",
      "81Q10",
      "35P20",
      "35P25",
      "47F05"
    ],
    "keywords": [
      "spectral shift function",
      "non-constant magnetic field",
      "dirac operator",
      "scattering phase shift",
      "constant direction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0911.2616T"
    }
  }
}