{
  "id": "quant-ph/0208190",
  "version": "v1",
  "published": "2002-08-30T10:06:12.000Z",
  "updated": "2002-08-30T10:06:12.000Z",
  "title": "Cartan Calculus via Pauli Matrices",
  "authors": [
    "D. Mauro"
  ],
  "comment": "30+1 pages, 1 figure",
  "journal": "Int.J.Mod.Phys. A18 (2003) 5231-5260",
  "doi": "10.1142/S0217751X03015982",
  "categories": [
    "quant-ph",
    "hep-th",
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this paper we will provide a new operatorial counterpart of the path-integral formalism of classical mechanics developed in recent years. We call it new because the Jacobi fields and forms will be realized via finite dimensional matrices. As a byproduct of this we will prove that all the operations of the Cartan calculus, such as the exterior derivative, the interior contraction with a vector field, the Lie derivative and so on, can be realized by means of suitable tensor products of Pauli and identity matrices.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-08-30T10:06:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cartan calculus",
      "pauli matrices",
      "finite dimensional matrices",
      "operatorial counterpart",
      "identity matrices"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 1,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 594348
    }
  }
}