{
  "id": "1212.6340",
  "version": "v1",
  "published": "2012-12-27T10:49:54.000Z",
  "updated": "2012-12-27T10:49:54.000Z",
  "title": "On the representation of $A_{\\kk}(2)$ algebra and $A_{\\kk}(d)$ algebra",
  "authors": [
    "Won Sang Chung"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this paper the representation of $A_{\\kk}(2)$ algebra given by Daoud and Kibler [M.Daoud and M.Kibler, J.Phys.A 43 115303 (2010), 45 244036 (2012)] is investigated. It is shown that the new generators are necessary for consistency of the algebra. The multi-mode extension of $A_{\\kk}(2)$ algebra, which is called $A_{\\kk}(d)$ algebra, is also obtained. The positivity condition of the energy spectrum is also investigated for $A_{\\kk}(2)$ algebra and $A_{\\kk}(d)$ algebra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-12-27T10:49:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "representation",
      "multi-mode extension",
      "positivity condition",
      "energy spectrum"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.6340C"
    }
  }
}