{
  "annotation_id": "7f4c3b84-8d26-4645-bff9-98301d213ee6",
  "date_created": "2026-03-02T18:02:41.175000Z",
  "date_modified": "2026-03-02T18:02:41.175000Z",
  "file_hash": "8a6be3a6aa3961e0b97df371634d3afa020aa380d5d0e4a81881a8721bbe4253",
  "private": false,
  "record": {
    "abstract": "It is shown that the eigenvalue problem for the Hamiltonians of the standard\nform, $H=p^2/(2m)+V(x)$, is equivalent to the classical dynamical equation for\ncertain harmonic oscillators with time-dependent frequency. This is another\nindication of the central role played by time-dependent harmonic oscillators in\nquantum mechanics. The utility of the known results for eigenvalue problem in\nthe solution of the dynamical equations of a class of time-dependent harmonic\noscillators is also pointed out.",
    "arxiv_id": "quant-ph/9706056",
    "authors": [
      "Ali Mostafazadeh"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Eigenvalue Problem for Schroedinger Operators and Time-Dependent   Harmonic Oscillator",
    "url": "https://arxiv.org/abs/quant-ph/9706056"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "eac26519-3093-4786-828b-a41a1a878405",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}