{
  "annotation_id": "a99f37e9-a3f8-4e2b-8574-894b011ff1e4",
  "date_created": "2026-03-02T18:02:48.059000Z",
  "date_modified": "2026-03-02T18:02:48.059000Z",
  "file_hash": "dcac64854c6c38efd3086110c54e69ad0fa3e5d5d88ef89d8b1950204879ee89",
  "private": false,
  "record": {
    "abstract": "A simple argument shows that eigenstates of a classically ergodic system are\nindividually ergodic on coarse-grained scales. This has implications for the\nquantization ambiguity in ergodic systems: the difference between alternative\nquantizations is suppressed compared with the $O(\\hbar^2)$ ambiguity in the\nintegrable case. For two-dimensional ergodic systems in the high-energy regime,\nindividual eigenstates are independent of the choice of quantization procedure,\nin contrast with the regular case, where even the ordering of eigenlevels is\nambiguous. Surprisingly, semiclassical methods are shown to be much more\nprecise for chaotic than for integrable systems.",
    "arxiv_id": "quant-ph/9906065",
    "authors": [
      "L. Kaplan"
    ],
    "categories": [
      "quant-ph",
      "chao-dyn",
      "nlin.CD"
    ],
    "doi": "10.1088/1367-2630/4/1/390",
    "journal_ref": "New J.Phys. 4 (2002) 90",
    "title": "Quantization Ambiguity, Ergodicity, and Semiclassics",
    "url": "https://arxiv.org/abs/quant-ph/9906065"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f73ddcbb-ac9a-4e2e-b7ff-d3a41bb642ee",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}