{
  "id": "0902.3252",
  "version": "v2",
  "published": "2009-02-18T21:18:24.000Z",
  "updated": "2009-06-15T15:33:45.000Z",
  "title": "Position-dependent noncommutativity in quantum mechanics",
  "authors": [
    "M. Gomes",
    "V. G. Kupriyanov"
  ],
  "comment": "published version, references added",
  "journal": "Phys. Rev. D 79, 125011 (2009)",
  "doi": "10.1103/PhysRevD.79.125011",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP"
  ],
  "abstract": "The model of the position-dependent noncommutativety in quantum mechanics is proposed. We start with a given commutation relations between the operators of coordinates [x^{i},x^{j}]=\\omega^{ij}(x), and construct the complete algebra of commutation relations, including the operators of momenta. The constructed algebra is a deformation of a standard Heisenberg algebra and obey the Jacobi identity. The key point of our construction is a proposed first-order Lagrangian, which after quantization reproduces the desired commutation relations. Also we study the possibility to localize the noncommutativety.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-06-15T15:33:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "02.40.Gh",
      "03.65.-w"
    ],
    "keywords": [
      "quantum mechanics",
      "position-dependent noncommutativity",
      "standard heisenberg algebra",
      "desired commutation relations",
      "complete algebra"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review D",
      "year": 2009,
      "month": "Jun",
      "volume": 79,
      "number": 12,
      "pages": 125011
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 813756,
      "adsabs": "2009PhRvD..79l5011G"
    }
  }
}