{
  "id": "quant-ph/0510124",
  "version": "v1",
  "published": "2005-10-17T08:50:00.000Z",
  "updated": "2005-10-17T08:50:00.000Z",
  "title": "Angular Momentum and Mutually Unbiased Bases",
  "authors": [
    "M. R. Kibler"
  ],
  "comment": "To be published in International Journal of Modern Physics B",
  "journal": "International Journal of Modern Physics B 20 (2006) 1792-1801",
  "doi": "10.1142/S0217979206034297",
  "categories": [
    "quant-ph",
    "math-ph",
    "math.MP"
  ],
  "abstract": "The Lie algebra of the group SU(2) is constructed from two deformed oscillator algebras for which the deformation parameter is a root of unity. This leads to an unusual quantization scheme, the {J2,Ur} scheme, an alternative to the familiar {J2,Jz} quantization scheme corresponding to common eigenvectors of the Casimir operator J2 and the Cartan operator Jz. A connection is established between the eigenvectors of the complete set of commuting operators {J2,Ur} and mutually unbiased bases in spaces of constant angular momentum.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-10-17T08:50:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mutually unbiased bases",
      "constant angular momentum",
      "cartan operator jz",
      "casimir operator j2",
      "unusual quantization scheme"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}