{
  "annotation_id": "9cbc1704-4afa-4f71-b581-3e308f10d155",
  "date_created": "2026-03-02T18:02:30.987000Z",
  "date_modified": "2026-03-02T18:02:30.987000Z",
  "file_hash": "1e755a8db67ffedb1a0f06a7e0520dfdd235676268c25da18243ad9f8f246617",
  "private": false,
  "record": {
    "abstract": "A closed expression to the Baker-Campbell-Hausdorff (B-C-H) formula in SO(4)\nis given by making use of the magic matrix by Makhlin. As far as we know this\nis the {\\bf first nontrivial example} on (semi-) simple Lie groups summing up\nall terms in the B-C-H expansion.",
    "arxiv_id": "quant-ph/0610009",
    "authors": [
      "Kazuyuki Fujii",
      "Tatsuo Suzuki"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1142/S0219887807002430",
    "journal_ref": "Int.J.Geom.Meth.Mod.Phys.4:897-905,2007",
    "title": "On the Magic Matrix by Makhlin and the B-C-H Formula in SO(4)",
    "url": "https://arxiv.org/abs/quant-ph/0610009"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "298b9d67-1aa7-4c4f-92f1-704301e66809",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}