{
  "id": "1510.05164",
  "version": "v1",
  "published": "2015-10-17T20:08:13.000Z",
  "updated": "2015-10-17T20:08:13.000Z",
  "title": "The Role of the Pauli-Lubanski Vector for the Dirac, Weyl, Proca, and Maxwell Equations",
  "authors": [
    "Sergey I. Kryuchkov",
    "Nathan A. Lanfear",
    "Sergei K. Suslov"
  ],
  "comment": "21 pages, no figures, 1 table, 49 references",
  "categories": [
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "We analyze basic wave equations for the classical relativistic fields, such as Dirac's equation, Weyl's two-component equation for massless neutrinos, and the Proca and Maxwell equations, from the viewpoint of the Pauli-Lubanski vector and the Casimir operators of the Poincare group. In general, in this group-theoretical approach, the above wave equations arise in certain overdetermined forms, which can be reduced to the conventional ones by a Gaussian elimination. A connection between the spin of a particle/field and consistency of the corresponding overdetermined system is established.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-17T20:08:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "maxwell equations",
      "pauli-lubanski vector",
      "analyze basic wave equations",
      "wave equations arise",
      "weyls two-component equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}