{
  "annotation_id": "efe1f922-f198-4e68-a416-34be34ab83aa",
  "date_created": "2026-03-02T18:01:58.858000Z",
  "date_modified": "2026-03-02T18:01:58.858000Z",
  "file_hash": "83200d1995ec4e5bafff09352bdafc339568feeeb8cca35cf4fd97c843569046",
  "private": false,
  "record": {
    "abstract": "We investigate the relation between the invariant operators satisfying the\nquantum Liouville-von Neumann and the Heisenberg operators satisfying the\nHeisenberg equation. For time-dependent generalized oscillators we find the\ninvariant operators, known as the Ermakov-Lewis invariants, in terms of a\ncomplex classical solution, from which the evolution operator is derived, and\nobtain the Heisenberg position and momentum operators. Physical quantities such\nas correlation functions are calculated using both the invariant operators and\nHeisenberg operators.",
    "arxiv_id": "quant-ph/0303148",
    "authors": [
      "Sang Pyo Kim"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "J. Korean Phys. Soc. 43 (2003) 11-16",
    "title": "Invariant Operators vs Heisenberg Operators for Time-Dependent   Generalized Oscillators",
    "url": "https://arxiv.org/abs/quant-ph/0303148"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c950cb0d-689e-4295-8fd1-e8b58d0653a9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}