{
  "id": "0906.1434",
  "version": "v1",
  "published": "2009-06-08T08:29:49.000Z",
  "updated": "2009-06-08T08:29:49.000Z",
  "title": "Maxwell equations in matrix form, squaring procedure, separating the variables, and structure of electromagnetic solutions",
  "authors": [
    "V. V. Kisel",
    "E. M. Ovsiyuk",
    "V. M. Red'kov",
    "N. G. Tokarevskaya"
  ],
  "comment": "26 pages 16 International Seminar NCPC, May 19-22, 2009, Minsk, Belarus",
  "journal": "Ric. Mat.60: 1-14,2011",
  "doi": "10.1007/s11587-010-0092-7",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP"
  ],
  "abstract": "The Riemann -- Silberstein -- Majorana -- Oppenheimer approach to the Maxwell electrodynamics in vacuum is investigated within the matrix formalism. The matrix form of electrodynamics includes three real 4 \\times 4 matrices. Within the squaring procedure we construct four formal solutions of the Maxwell equations on the base of scalar Klein -- Fock -- Gordon solutions. The problem of separating physical electromagnetic waves in the linear space \\lambda_{0}\\Psi^{0}+\\lambda_{1}\\Psi^{1}+\\lambda_{2}\\Psi^{2}+ lambda_{3}\\Psi^{3} is investigated, several particular cases, plane waves and cylindrical waves, are considered in detail.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-06-08T08:29:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "maxwell equations",
      "squaring procedure",
      "electromagnetic solutions",
      "electrodynamics",
      "matrix formalism"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 822462,
      "adsabs": "2009arXiv0906.1434K"
    }
  }
}