{
  "id": "math-ph/0307042",
  "version": "v1",
  "published": "2003-07-21T10:30:52.000Z",
  "updated": "2003-07-21T10:30:52.000Z",
  "title": "A coordinateless form of the Dirac equation",
  "authors": [
    "N. G. Marchuk"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We present a so called Dirac-type tensor equation (DTTE). This equation is written in coordinateless form with the aid of differential operators $d$ and $\\delta$. A wave function of DTTE belongs to a minimal left ideal of the algebra of exterior forms with respect to the Clifford product. We show that a coordinate form of DTTE is identical to the Dirac equation in a fixed coordinate system.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-07-21T10:30:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53Z05"
    ],
    "keywords": [
      "dirac equation",
      "coordinateless form",
      "dirac-type tensor equation",
      "minimal left ideal",
      "fixed coordinate system"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.ph...7042M"
    }
  }
}