{
  "id": "1405.6532",
  "version": "v2",
  "published": "2014-05-26T10:30:19.000Z",
  "updated": "2014-05-27T15:45:10.000Z",
  "title": "Virial theorem in quasi-coordinates and Lie algebroid formalism",
  "authors": [
    "José F. Cariñena",
    "Irina Gheorghiu",
    "Eduardo Mart\\'\\inez",
    "Patr\\'\\icia Santos"
  ],
  "comment": "11 pages",
  "journal": "Int. J. Geom. Methods Mod. Phys. 11, 1450055 (9 pp) (2014)",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this paper, the geometric approach to the virial theorem developed in \\cite{CFR12} is written in terms of quasi-velocities (see \\cite{CNCS07}). A generalization of the virial theorem for mechanical systems on Lie algebroids is also given, using the geometric tools of Lagrangian and Hamiltonian mechanics on the prolongation of the Lie algebroid.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-05-27T15:45:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "virial theorem",
      "lie algebroid formalism",
      "quasi-coordinates",
      "geometric approach",
      "geometric tools"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1142/S0219887814500558",
      "journal": "International Journal of Geometric Methods in Modern Physics",
      "year": 2014,
      "month": "Apr",
      "volume": 11,
      "number": 9,
      "pages": 1450055
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014IJGMM..1150055C"
    }
  }
}