{
  "annotation_id": "52a190cb-c2e7-4e52-a0ca-85aa70d92d1c",
  "date_created": "2026-03-02T18:01:45.969000Z",
  "date_modified": "2026-03-02T18:01:45.969000Z",
  "file_hash": "c05c5d4e5c3ea059dceff253f49308e6b93029891e3a43d12d672745b769cde0",
  "private": false,
  "record": {
    "abstract": "We present exact, explicit, convergent periodic-orbit expansions for\nindividual energy levels of regular quantum graphs. One simple application is\nthe energy levels of a particle in a piecewise constant potential. Since the\nclassical ray trajectories (including ray splitting) in such systems are\nstrongly chaotic, this result provides the first explicit quantization of a\nclassically chaotic system.",
    "arxiv_id": "quant-ph/0110109",
    "authors": [
      "R. Bl\u00fcmel",
      "Y. Dabaghian",
      "R. V. Jensen"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevE.65.046222",
    "title": "Exact, convergent periodic-orbit expansions of individual energy   eigenvalues of regular quantum graphs",
    "url": "https://arxiv.org/abs/quant-ph/0110109"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b79aeb06-16b1-41dd-b4e5-a460faf7e5ff",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}