{
  "annotation_id": "e338a4fc-43a0-492e-b6fc-d9f3a3722fc0",
  "date_created": "2026-03-02T18:02:34.239000Z",
  "date_modified": "2026-03-02T18:02:34.239000Z",
  "file_hash": "afc8ee4c6b1f662d3dd5c9dc3e941404f5500d83add3234d042e79a68c2d61bf",
  "private": false,
  "record": {
    "abstract": "The explicit solution to the spectral problem of quantum graphs found\nrecently in \\cite{Anima}, is used to produce the exact periodic orbit theory\ndescription for the probability distributions of spectral statistics, including\nthe distribution for the nearest neighbor separations, $s_{n}=k_{n}-k_{n-1}$,\nand the distribution of the spectral oscillations around the average, $\\delta\nk_{n}=k_{n}-\\bar k_{n}$.",
    "arxiv_id": "quant-ph/0701128",
    "authors": [
      "Yu. Dabaghian"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Periodic orbit theory and spectral statistics for scaling quantum graphs",
    "url": "https://arxiv.org/abs/quant-ph/0701128"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d205fd76-1c1f-425a-ac8e-0ed0ebd1ef7c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}