{
  "id": "1904.09501",
  "version": "v1",
  "published": "2019-04-20T21:30:02.000Z",
  "updated": "2019-04-20T21:30:02.000Z",
  "title": "A new sum rule for Clebsch-Gordan coefficients using generalized characters of irreducible representations of the rotation group",
  "authors": [
    "Jean-Christophe Pain"
  ],
  "comment": "submitted to Lett. Math. Phys",
  "categories": [
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "We present a new sum rule for Clebsch-Gordan coefficients using generalized characters of irreducible representations of the rotation group. The identity is obtained from an integral involving Gegenbauer ultraspherical polynomials. A similar procedure can be applied for other types of integrals of such polynomials, and may therefore lead to the derivation of further new relations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-04-20T21:30:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "clebsch-gordan coefficients",
      "sum rule",
      "rotation group",
      "generalized characters",
      "irreducible representations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}