Abstract This paper discusses the symmetry of Lagrangians of holonomic systems in terms of quasi-coordinates. Firstly, the definition and the criterion of the symmetry are given. Secondly, the condition under which there exists a conserved quantity and the form of the conserved quantity are obtained. Finally, an example is shown to illustrate the application of the results.
Received: 18 October 2008
Revised: 12 December 2008
Accepted manuscript online:
Fund: Project supported by the National
Natural Science Foundation of China (Grant Nos 10572021 and
10772025) and the Doctoral Program Foundation of Institution of
Higher Education of China (Grant No 20040007022), and the Fund for
Fundamental Research of Beijing Institute of Technology (Grant No
20070742005).
Cite this article:
Wu Hui-Bin(吴惠彬) and Mei Feng-Xiang(梅凤翔) Symmetry of Lagrangians of holonomic systems in terms of quasi-coordinates 2009 Chin. Phys. B 18 3145
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