{
  "id": "math-ph/0302029",
  "version": "v1",
  "published": "2003-02-11T22:10:23.000Z",
  "updated": "2003-02-11T22:10:23.000Z",
  "title": "Power-law bounds on transfer matrices and quantum dynamics in one dimension II",
  "authors": [
    "David Damanik",
    "Andras Suto",
    "Serguei Tcheremchantsev"
  ],
  "comment": "20 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We establish quantum dynamical lower bounds for a number of discrete one-dimensional Schr\\\"odinger operators. These dynamical bounds are derived from power-law upper bounds on the norms of transfer matrices. We develop further the approach from part I and study many examples. Particular focus is put on models with finitely or at most countably many exceptional energies for which one can prove power-law bounds on transfer matrices. The models discussed in this paper include substitution models, Sturmian models, a hierarchical model, the prime model, and a class of moderately sparse potentials.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-02-11T22:10:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "transfer matrices",
      "power-law bounds",
      "quantum dynamics",
      "power-law upper bounds",
      "establish quantum dynamical lower bounds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.ph...2029D"
    }
  }
}