{
  "annotation_id": "6725acdf-c669-4c5d-9269-3a01dbb5201b",
  "date_created": "2026-03-02T18:01:56.668000Z",
  "date_modified": "2026-03-02T18:01:56.668000Z",
  "file_hash": "d268fa94af8fc77ed64cdc29861fa2eefbfcc8beaaca3fdb206b0588db48ce07",
  "private": false,
  "record": {
    "abstract": "For chaotic systems there is a theory for the decay of the survival\nprobability, and for the parametric dependence of the local density of states.\nThis theory leads to the distinction between \"perturbative\" and\n\"non-perturbative\" regimes, and to the observation that semiclassical tools are\nuseful in the latter case. We discuss what is \"left\" from this theory in the\ncase of one-dimensional systems. We demonstrate that the remarkably accurate\n{\\em uniform} semiclassical approximation captures the physics of {\\em all} the\ndifferent regimes, though it cannot take into account the effect of strong\nlocalization.",
    "arxiv_id": "quant-ph/0303103",
    "authors": [
      "Jiri Vanicek",
      "Doron Cohen"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.mes-hall",
      "nlin.CD"
    ],
    "doi": "10.1088/0305-4470/36/36/310",
    "journal_ref": "J. Phys. A: Math. Gen. 36, 9591 (2003).",
    "title": "The survival probability and the local density of states for   one-dimensional Hamiltonian systems",
    "url": "https://arxiv.org/abs/quant-ph/0303103"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1d5e99c0-3e05-41a0-925c-e570ebc1d731",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}