{
  "annotation_id": "3e732e1f-5d9f-4c8d-8574-3249fe5b99df",
  "date_created": "2026-03-02T18:01:52.882000Z",
  "date_modified": "2026-03-02T18:01:52.882000Z",
  "file_hash": "dd9c95367a4b82c533e18ede11c34caa84b154fab5aafe2c1a5a36a468106570",
  "private": false,
  "record": {
    "abstract": "In this paper we will provide a new operatorial counterpart of the\npath-integral formalism of classical mechanics developed in recent years. We\ncall it new because the Jacobi fields and forms will be realized via finite\ndimensional matrices. As a byproduct of this we will prove that all the\noperations of the Cartan calculus, such as the exterior derivative, the\ninterior contraction with a vector field, the Lie derivative and so on, can be\nrealized by means of suitable tensor products of Pauli and identity matrices.",
    "arxiv_id": "quant-ph/0208190",
    "authors": [
      "D. Mauro"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1142/S0217751X03015982",
    "journal_ref": "Int.J.Mod.Phys. A18 (2003) 5231-5260",
    "title": "Cartan Calculus via Pauli Matrices",
    "url": "https://arxiv.org/abs/quant-ph/0208190"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "cc37f313-59cb-4ab5-861c-75857eb7ade0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}