{
  "annotation_id": "371fe9a9-ffe4-4a68-a2c1-08365502fe39",
  "date_created": "2026-03-02T18:02:48.581000Z",
  "date_modified": "2026-03-02T18:02:48.581000Z",
  "file_hash": "ad6da4b27a34ec6c67fa357ca5bdb92dc9ac43c77933db545dd9c882aedb49dc",
  "private": false,
  "record": {
    "abstract": "Canonical structure of a generalized time-periodic harmonic oscillator is\nstudied by finding the exact action variable (invariant). Hannay\u0027s angle is\ndefined if closed curves of constant action variables return to the same curves\nin phase space after a time evolution. The condition for the existence of\nHannay\u0027s angle turns out to be identical to that for the existence of a\ncomplete set of (quasi)periodic wave functions. Hannay\u0027s angle is calculated,\nand it is shown that Berry\u0027s relation of semiclassical origin on geometric\nphase and Hannay\u0027s angle is exact for the cases considered.",
    "arxiv_id": "quant-ph/9911029",
    "authors": [
      "Dae-Yup Song"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevLett.85.1141",
    "journal_ref": "Physical Review Letters 85 (2000) 1141-1145",
    "title": "Geometric Phase, Hannay\u0027s Angle, and an Exact Action Variable",
    "url": "https://arxiv.org/abs/quant-ph/9911029"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9b0843ee-bce1-4790-9c1d-3a0292961123",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}