{
  "annotation_id": "d98395e0-88f5-4e63-908a-2ed77079f7b7",
  "date_created": "2026-03-02T18:02:44.974000Z",
  "date_modified": "2026-03-02T18:02:44.974000Z",
  "file_hash": "18d7fbbfe3230de38851d1460c397298bef00d65fc50e8380ba10717707491fc",
  "private": false,
  "record": {
    "abstract": "For a harmonic oscillator with time-dependent (positive) mass and frequency,\nan unitary operator is shown to transform the quantum states of the system to\nthose of a harmonic oscillator system of unit mass and time-dependent\nfrequency, as well as operators. For a driven harmonic oscillator, it is also\nshown that, there are unitary transformations which give the driven system from\nthe system of same mass and frequency without driving force. The transformation\nfor a driven oscillator depends on the solution of classical equation of motion\nof the driven system. These transformations, thus, give a simple way of finding\nexact wave functions of a driven harmonic oscillator system, provided the\nquantum states of the corresponding system of unit mass are given.",
    "arxiv_id": "quant-ph/9812038",
    "authors": [
      "Dae-Yup Song"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/32/18/318",
    "journal_ref": "J. Phys. A: Math. Gen. 32 (1999) 3449-3456",
    "title": "Unitary relations in time-dependent harmonic oscillators",
    "url": "https://arxiv.org/abs/quant-ph/9812038"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ed6c8eb1-4ad1-4e36-8645-805437a48250",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}