{
  "id": "math-ph/0607064",
  "version": "v1",
  "published": "2006-07-28T13:37:50.000Z",
  "updated": "2006-07-28T13:37:50.000Z",
  "title": "Invariant integration over the orthogonal group",
  "authors": [
    "Daniel Braun"
  ],
  "comment": "13 pages",
  "journal": "J. Phys. A: Math. Gen. 39 (2006) 14581-14590",
  "doi": "10.1088/0305-4470/39/47/005",
  "categories": [
    "math-ph",
    "cond-mat.mes-hall",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "I adapt a recently introduced method for integrating over the unitary group (S. Aubert and C.S. Lam, J.Math.Phys. 44, 6112-6131 (2003)) to the orthogonal group. I derive explicit formulas for a number of one, two and three-vector integrals, as well as recursion formulas for more complicated cases.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-07-28T13:37:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20G20"
    ],
    "keywords": [
      "orthogonal group",
      "invariant integration",
      "unitary group",
      "derive explicit formulas",
      "three-vector integrals"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}