{
  "id": "0802.3575",
  "version": "v4",
  "published": "2008-02-25T09:33:17.000Z",
  "updated": "2009-01-27T14:34:27.000Z",
  "title": "Newton equation for canonical, Lie-algebraic and quadratic deformation of classical space",
  "authors": [
    "Marcin Daszkiewicz",
    "Cezary J. Walczyk"
  ],
  "comment": "14 pages, 2 figures, v2: three references added, v3: accepted for publication in Physical Review D, v4: the page numbers for all references in preprint version are provided",
  "journal": "Phys.Rev.D77:105008,2008",
  "doi": "10.1103/PhysRevD.77.105008",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP"
  ],
  "abstract": "The Newton equation describing the particle motion in constant external field force on canonical, Lie-algebraic and quadratic space-time is investigated. We show that for canonical deformation of space-time the dynamical effects are absent, while in the case of Lie-algebraic noncommutativity, when spatial coordinates commute to the time variable, the additional acceleration of particle is generated. We also indicate, that in the case of spatial coordinates commuting in Lie-algebraic way, as well as for quadratic deformation, there appear additional velocity and position-dependent forces.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2009-01-27T14:34:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "02.20.Uw",
      "45.20.da",
      "11.10.Nx"
    ],
    "keywords": [
      "newton equation",
      "quadratic deformation",
      "classical space",
      "constant external field force",
      "appear additional velocity"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review D",
      "year": 2008,
      "month": "May",
      "volume": 77,
      "number": 10,
      "pages": 105008
    },
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 780264,
      "adsabs": "2008PhRvD..77j5008D"
    }
  }
}