{
  "id": "1906.08633",
  "version": "v1",
  "published": "2019-06-18T21:32:13.000Z",
  "updated": "2019-06-18T21:32:13.000Z",
  "title": "A discrete version of plane wave solutions of the Dirac equation in the Joyce form",
  "authors": [
    "Volodymyr Sushch"
  ],
  "comment": "20 pages. arXiv admin note: substantial text overlap with arXiv:1802.00040",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We construct a discrete version of the plane wave solution to a discrete Dirac-K\\\"{a}hler equation in the Joyce form. A geometric discretisation scheme based on both forward and backward difference operators is used. The conditions under which a discrete plane wave solution satisfies a discrete Joyce equation are discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-06-18T21:32:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "39A12",
      "39A70",
      "81Q05"
    ],
    "keywords": [
      "discrete version",
      "joyce form",
      "dirac equation",
      "discrete plane wave solution satisfies",
      "geometric discretisation scheme"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}