{
  "id": "1111.4035",
  "version": "v2",
  "published": "2011-11-17T08:53:31.000Z",
  "updated": "2015-02-26T10:29:14.000Z",
  "title": "Noncommutative sedeons and their application in field theory",
  "authors": [
    "Victor L. Mironov",
    "Sergey V. Mironov"
  ],
  "comment": "18 pages, 2 tables",
  "doi": "10.4236/am.2013.410A3009",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We present sixteen-component values \"sedeons\", generating associative noncommutative space-time algebra. The generalized second-order and first-order equations of relativistic quantum mechanics based on sedeonic wave function and sedeonic space-time operators are proposed. We also discuss the description of fields with massive quantum on the basis of second-order and first-order equations for sedeonic potentials.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-11-17T08:53:31.000Z",
      "abstract": "We present sixteen-component values \"sedeons\", generating associative noncommutative space-time algebra. The generalized field equations based on sedeonic potentials and space-time operators are proposed. It is shown that the sedeonic second-order wave equation for massive field can be represented in the form of the system of Maxwell-like first order equations. The sedeonic generalization of first order Dirac equation for massive and massless fields is also discussed.",
      "comment": "12 pages, 2 tables",
      "journal": null
    },
    {
      "version": "v2",
      "updated": "2015-02-26T10:29:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.65.Fd",
      "03.65.Pm",
      "03.65.-w",
      "02.10.De"
    ],
    "keywords": [
      "field theory",
      "noncommutative sedeons",
      "associative noncommutative space-time algebra",
      "application",
      "first order dirac equation"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 954956,
      "adsabs": "2011arXiv1111.4035M"
    }
  }
}