{
  "annotation_id": "9a86dd27-1bbf-4a41-a443-d17d6cd07676",
  "date_created": "2026-03-02T18:02:41.222000Z",
  "date_modified": "2026-03-02T18:02:41.222000Z",
  "file_hash": "203fa5e6f5251aad6b257440e4c141f2e909414f3b4fc9cc9bedc824deef9f07",
  "private": false,
  "record": {
    "abstract": "Multiplication of two elements of the special unitary group SU(N) determines\nuniquely a third group element. A BAker-Campbell-Hausdorff relation is derived\nwhich expresses the group parameters of the product (written as an exponential)\nin terms of the parameters of the exponential factors. This requires the eigen-\nvalues of three (N-by-N) matrices. Consequently, the relation can be stated\nanalytically up to N=4, in principle. Similarity transformations encoding the\ntime evolution of quantum mechanical observables, for example, can be worked\nout by the same means.",
    "arxiv_id": "quant-ph/9710024",
    "authors": [
      "Stefan Weigert"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1088/0305-4470/30/24/032",
    "journal_ref": "J.Phys.A30:8739-8749,1997",
    "title": "Baker-Campbell-Hausdorff relation for special unitary groups SU(N)",
    "url": "https://arxiv.org/abs/quant-ph/9710024"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "16635c58-fae3-4518-865b-ceb0e4e0a5bf",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}