{
  "id": "0708.0926",
  "version": "v1",
  "published": "2007-08-07T11:12:50.000Z",
  "updated": "2007-08-07T11:12:50.000Z",
  "title": "Dynamical Lower Bounds for 1D Dirac Operators",
  "authors": [
    "Roberto A. Prado",
    "Cesar R. de Oliveira"
  ],
  "comment": "18 pages; to appear in Math. Z",
  "categories": [
    "math-ph",
    "math.FA",
    "math.MP"
  ],
  "abstract": "Quantum dynamical lower bounds for continuous and discrete one-dimensional Dirac operators are established in terms of transfer matrices. Then such results are applied to various models, including the Bernoulli-Dirac one and, in contrast to the discrete case, critical energies are also found for the continuous Dirac case with positive mass.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-08-07T11:12:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81Q10"
    ],
    "keywords": [
      "1d dirac operators",
      "discrete one-dimensional dirac operators",
      "quantum dynamical lower bounds",
      "transfer matrices",
      "discrete case"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0708.0926P"
    }
  }
}