{
  "annotation_id": "491ad4d2-cb04-4921-af23-7cd5fb79f094",
  "date_created": "2026-03-02T18:02:43.928000Z",
  "date_modified": "2026-03-02T18:02:43.928000Z",
  "file_hash": "da927d2dc1ffedb52c1582263b8def74e41f11e404a7831aff472eb5b447e613",
  "private": false,
  "record": {
    "abstract": "For $N$-coupled generalized time-dependent oscillators, primary invariants\nand a generalized invariant are found in terms of classical solutions. Exact\nquantum motions satisfying the Heisenberg equation of motion are also found.\nFor number states and coherent states of the generalized invariant, the\nuncertainties in positions and momenta are obtained.",
    "arxiv_id": "quant-ph/9808003",
    "authors": [
      "Jeong-Young Ji",
      "Jongbae Hong"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/31/39/002",
    "journal_ref": "J.Phys. A31 (1998) L689-L693",
    "title": "Heisenberg picture approach to the invariants and the exact quantum   motions for coupled parametric oscillators",
    "url": "https://arxiv.org/abs/quant-ph/9808003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4d5e7ef1-3bcd-463f-b170-84bc27bbf065",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}