{
  "annotation_id": "18062227-85c3-4bd1-bb5f-e53462b3bc07",
  "date_created": "2026-03-02T18:01:56.672000Z",
  "date_modified": "2026-03-02T18:01:56.672000Z",
  "file_hash": "d9dbc47387c33712d4adfde6c75dc48f8dcdf51848844793d9626a439c3c28f1",
  "private": false,
  "record": {
    "abstract": "The correspondence between classical and quantum invariants is established.\nThe Ermakov Lewis quantum invariant of the time dependent harmonic oscillator\nis translated from the coordinate and momentum operators into amplitude and\nphase operators. In doing so, Turski\u0027s phase operator as well as\nSusskind-Glogower operators are generalized to the time dependent harmonic\noscillator case. A quantum derivation of the Manley-Rowe relations is shown as\nan example.",
    "arxiv_id": "quant-ph/0212073",
    "authors": [
      "M. Fernandez Guasti",
      "H. Moya-Cessa"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.67.063803",
    "journal_ref": "Phys. Rev. A 67, 063803 (2003)",
    "title": "Amplitude and phase representation of quantum invariants for the time   dependent harmonic oscillator",
    "url": "https://arxiv.org/abs/quant-ph/0212073"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1b79dff8-ae7c-4b44-b192-55f1ad316266",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}