{
  "id": "1502.02351",
  "version": "v1",
  "published": "2015-02-09T04:18:32.000Z",
  "updated": "2015-02-09T04:18:32.000Z",
  "title": "The Dirac equation as one fourth-order equation for one function -- a general form",
  "authors": [
    "Andrey Akhmeteli"
  ],
  "comment": "8 pages, no figures",
  "categories": [
    "quant-ph",
    "hep-th",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Previously (A. Akhmeteli, J. Math. Phys., v. 52, p. 082303 (2011)), the Dirac equation in an arbitrary electromagnetic field was shown to be generally equivalent to a fourth-order equation for just one component of the four-component Dirac spinor function. This was done for a specific (chiral) representation of gamma-matrices and for a specific component. In the current work, the result is generalized for a general representation of gamma-matrices and a general component (satisfying some conditions). The resulting equivalent of the Dirac equation is also much more symmetric than that of the previous work and should be useful in applications of the Dirac equation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-02-09T04:18:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dirac equation",
      "fourth-order equation",
      "general form",
      "four-component dirac spinor function",
      "arbitrary electromagnetic field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1343547,
      "adsabs": "2015arXiv150202351A"
    }
  }
}