{
  "annotation_id": "9430e67a-16ac-43f3-9da7-0df0311216b0",
  "date_created": "2026-03-02T18:02:47.448000Z",
  "date_modified": "2026-03-02T18:02:47.448000Z",
  "file_hash": "e48616103ef6526425afef2fbf73b9476d623641ebd7faf856fdf7f7bfb8dc31",
  "private": false,
  "record": {
    "abstract": "The spectrum of eigenenergies of a quantum integrable system whose\nhamiltonian depends on a single parameter shows degeneracies (crossings) when\nthe parameter varies. We derive a semiclassical expression for the density of\ncrossings in the plane energy-parameter, that is the number of crossings per\nunit of energy and unit of parameter, in terms of classical periodic orbits. We\ncompare the results of the semiclassical formula with exact quantum\ncalculations for two specific quantum integrable billiards.",
    "arxiv_id": "quant-ph/9908044",
    "authors": [
      "A. J. Fendrik",
      "M. J. S\u00e1nchez"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/33/12/303",
    "title": "Semiclassical density of degeneracies in quantum regular systems",
    "url": "https://arxiv.org/abs/quant-ph/9908044"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3f14724a-6972-444b-991f-47d092ee7bd4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}