{
  "id": "0709.3951",
  "version": "v1",
  "published": "2007-09-25T13:35:51.000Z",
  "updated": "2007-09-25T13:35:51.000Z",
  "title": "Geometric Measure of Indistinguishability for Groups of Identical Particles",
  "authors": [
    "Patrick Cassam-Chenaï"
  ],
  "journal": "Physical Review A: Atomic, Molecular and Optical Physics 77, 3 (2008) 032103",
  "doi": "10.1103/PhysRevA.77.032103",
  "categories": [
    "quant-ph",
    "math-ph",
    "math.MP"
  ],
  "abstract": "The concept of p-orthogonality (1=< p =< n) between n-particle states is introduced. It generalizes common orthogonality, which is equivalent to n-orthogonality, and strong orthogonality between fermionic states, which is equivalent to 1-orthogonality. Within the class of non p-orthogonal states a finer measure of non p-orthogonality is provided by Araki's angles between p-internal spaces. The p-orthogonality concept is a geometric measure of indistinguishability that is independent of the representation chosen for the quantum states. It induces a new hierarchy of approximations for group function methods. The simplifications that occur in the calculation of matrix elements between p-orthogonal group functions are presented.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-09-25T13:35:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.65.Fd",
      "02.70.-c",
      "31.10.+z",
      "31.15.V-"
    ],
    "keywords": [
      "geometric measure",
      "identical particles",
      "indistinguishability",
      "group function methods",
      "p-orthogonal group functions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review A",
      "year": 2008,
      "month": "Mar",
      "volume": 77,
      "number": 3,
      "pages": "032103"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008PhRvA..77c2103C"
    }
  }
}