{
  "id": "1110.3532",
  "version": "v5",
  "published": "2011-10-16T22:29:08.000Z",
  "updated": "2012-07-03T22:33:14.000Z",
  "title": "New treatment of the noncommutative Dirac equation with a Coulomb potential",
  "authors": [
    "Lamine Khodja",
    "Slimane Zaim"
  ],
  "comment": "13 pages",
  "journal": "International Journal of Modern Physics A (IJMPA),Volume: 27, Number: 19 (30 July 2012",
  "doi": "10.1142/S0217751X1250100X",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP"
  ],
  "abstract": "Using the approach the modified Euler-Lagrange field equation together with the corresponding Seiberg-Witten maps of the dynamical fields, a noncommutative Dirac equation with a Coulomb potential is derived. We then find the noncommutative modification the energy levels and the possible new transitions. In the nonrelativistic limit a general form of the hamiltonian of the hydrogen atom is obtained, and we show that the noncommmutativity plays the role of spin and magnetic field which gives the hyper fine structure.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2012-07-03T22:33:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "31.30.jx",
      "03.65.Pm",
      "11.10.Nx",
      "81Q05"
    ],
    "keywords": [
      "noncommutative dirac equation",
      "coulomb potential",
      "modified euler-lagrange field equation",
      "hyper fine structure",
      "general form"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "International Journal of Modern Physics A",
      "year": 2012,
      "month": "Jul",
      "volume": 27,
      "number": 19,
      "pages": 1250100
    },
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 940189,
      "adsabs": "2012IJMPA..2750100K"
    }
  }
}