{
  "annotation_id": "66317ded-a196-4b09-8e4c-5db394c8c7d0",
  "date_created": "2026-03-02T18:02:16.353000Z",
  "date_modified": "2026-03-02T18:02:16.353000Z",
  "file_hash": "b4f373950e5671d68048028ce1b69f890b2014b3e090233088a43f2db0d38ef1",
  "private": false,
  "record": {
    "abstract": "A general analytical approach to the statistical description of quantum graph\nspectra based on the exact periodic orbit expansions of quantum levels is\ndiscussed. The exact and approximate expressions obtained in \\cite{Anima} for\nthe probability distribution functions using the spectral hierarchy method are\nanalyzed. In addition, the mechanism of appearance of the universal statistical\nproperties of spectral fluctuations of quantum-chaotic systems is considered in\nterms of the semiclassical theory of periodic orbits.",
    "arxiv_id": "quant-ph/0503220",
    "authors": [
      "Yu. Dabaghian"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Statistical Properties of Quantum Graph Spectra",
    "url": "https://arxiv.org/abs/quant-ph/0503220"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "32665a62-4b3e-43c7-8ac2-d5260ee0d58d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}