{
  "annotation_id": "2e56ce65-6a92-43b8-bbb5-b03af3007c84",
  "date_created": "2026-03-02T18:01:49.542000Z",
  "date_modified": "2026-03-02T18:01:49.542000Z",
  "file_hash": "6d0f1dcef32efa4ec7cad44d9bfa8129de31a3e1ac31d8c964a9737cead32b1b",
  "private": false,
  "record": {
    "abstract": "For the unitary operator, solution of the Schroedinger equation corresponding\nto a time-varying Hamiltonian, the relation between the Magnus and the product\nof exponentials expansions can be expressed in terms of a system of first order\ndifferential equations in the parameters of the two expansions. A method is\nproposed to compute such differential equations explicitly and in a closed\nform.",
    "arxiv_id": "quant-ph/0201034",
    "authors": [
      "Claudio Altafini"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/S0034-4877(03)80037-X",
    "journal_ref": "Reports on Mathematical Physics, 52(3):381-400, 2003",
    "title": "Parameter differentiation and quantum state decomposition for time   varying Schroedinger equations",
    "url": "https://arxiv.org/abs/quant-ph/0201034"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2001f45c-2ab4-4b75-a853-422e69dfb274",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}