{
  "annotation_id": "9b0b20b2-a4d3-43f3-b67e-442488746aff",
  "date_created": "2026-03-02T18:01:56.461000Z",
  "date_modified": "2026-03-02T18:01:56.461000Z",
  "file_hash": "e454ec2aabaea9b4ecaec709264f13b684294ca00f0dbc35730ea49bfb9ef4a2",
  "private": false,
  "record": {
    "abstract": "By using the Lewis-Riesenfeld theory and the invariant-related unitary\ntransformation formulation, the exact solutions of the {\\it time-dependent}\nSchr\\\"{o}dinger equations which govern the various Lie-algebraic quantum\nsystems in atomic physics, quantum optics, nuclear physics and laser physics\nare obtained. It is shown that the {\\it explicit} solutions may also be\nobtained by working in a sub-Hilbert-space corresponding to a particular\neigenvalue of the conserved generator ({\\it i. e.}, the {\\it time-independent}\ninvariant) for some quantum systems without quasi-algebraic structures. The\nglobal and topological properties of geometric phases and their adiabatic limit\nin time-dependent quantum systems/models are briefly discussed.",
    "arxiv_id": "quant-ph/0303073",
    "authors": [
      "Jian Qi Shen",
      "Hong Yi Zhu",
      "Pan Chen"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1140/epjd/e2003-00043-7",
    "journal_ref": "Eur.Phys.J.D23:305-313,2003",
    "title": "A unified approach to exact solutions of time-dependent Lie-algebraic   quantum systems",
    "url": "https://arxiv.org/abs/quant-ph/0303073"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a95c4c0c-a297-4660-aad3-c980e5444554",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}