{
  "annotation_id": "2273873a-d1a0-4936-afb0-17f2a5529df9",
  "date_created": "2026-03-02T18:01:42.660000Z",
  "date_modified": "2026-03-02T18:01:42.660000Z",
  "file_hash": "7179a5e6f1e592f40d6883ee5f489024a99b796eda03a2c2284e713380463120",
  "private": false,
  "record": {
    "abstract": "For a time-dependent classical quadratic oscillator we introduce pairs of\nreal and complex invariants that are linear in position and momentum. Each pair\nof invariants realize explicitly a canonical transformation from the phase\nspace to the invariant space, in which the action-phase variables are defined.\nWe find the action operator for the time-dependent oscillator via the\nclassical-quantum correspondence. Candidate phase operators conjugate to the\naction operator are discussed, but no satisfactory ones are found.",
    "arxiv_id": "quant-ph/0101076",
    "authors": [
      "Sang Pyo Kim",
      "Don N. Page"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.64.012104",
    "journal_ref": "Phys.Rev.A64:012104,2001",
    "title": "Classical and Quantum Action-Phase Variables for Time-Dependent   Oscillators",
    "url": "https://arxiv.org/abs/quant-ph/0101076"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bc6df5a5-0040-4b38-8087-ff91f14626ee",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}