{
  "id": "0707.1067",
  "version": "v1",
  "published": "2007-07-07T04:18:51.000Z",
  "updated": "2007-07-07T04:18:51.000Z",
  "title": "Commutation Relations for Double Tensors of Two Equivalent D Electrons",
  "authors": [
    "Chin-Sheng Wu"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We apply the Clebsch-Gordan and Racah coefficients to calculate the double tensors for two equivalent d electrons. We also obtain the commutation relations for these double tensors and choose certain quantum numbers, which produce a subgroup. From the root vectors of the commutation relations, we identify them with Lie algebra B2. Once we have the correct Lie algebra, it is feasible to use the Wigner-Eckart theorem to find matrix elements for transition states among atomic spectra or nuclear shell models.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-07-07T04:18:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "commutation relations",
      "double tensors",
      "equivalent",
      "nuclear shell models",
      "correct lie algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0707.1067W"
    }
  }
}