{
  "annotation_id": "7de7f11f-f574-4648-8dea-ca3c49cb8231",
  "date_created": "2026-03-02T18:02:48.051000Z",
  "date_modified": "2026-03-02T18:02:48.051000Z",
  "file_hash": "133a101eda743db363831a3cf9e32b3f8f897b4d67d0faee75a00f2e045dc7b2",
  "private": false,
  "record": {
    "abstract": "Weyl\u0027s expansion for the asymptotic mode density of billiards consists of the\narea, length, curvature and corner terms. The area term has been associated\nwith the so-called zero-length orbits. Here closed nonperiodic paths\ncorresponding to the length and corner terms are constructed.",
    "arxiv_id": "quant-ph/9906026",
    "authors": [
      "Wei-Mou Zheng"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevE.60.2845",
    "journal_ref": "Phys.Rev.E60:2845-2850,1999",
    "title": "Nonperiodic Orbit Sums in Weyl\u0027s Expansion for Billiards",
    "url": "https://arxiv.org/abs/quant-ph/9906026"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2b9a6d27-342a-467d-96db-e047cd65352a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}