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Another Conserved Quantity by Mei Symmetry of Tzénoff Equation for Non-Holonomic Systems |
| ZHENG Shi-Wang1, XIE Jia-Fang2, WANG Jian-Bo1, CHEN Xiang-Wei1 |
| 1Department of Physics and Information Engineering, Shangqiu Teachers College, Shangqiu 476000 2College of Science, North China University of Technology, Beijing 100144 |
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| Cite this article: |
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ZHENG Shi-Wang, XIE Jia-Fang, WANG Jian-Bo et al 2010 Chin. Phys. Lett. 27 030307 |
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Abstract As a direct result of Mei symmetry of the Ténoff equation for non-holonomic mechanical systems, another conserved quantity is studied. The expression and the determining equations of the above conserved quantity are also presented. Using this method, it is easier to find out conserved quantity than ever. In the last, an example is presented to illustrate applications of the new results.
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| Keywords:
03.65.-w
11.30.-j
45.20.Jj
02.20.Sv
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Received: 23 November 2009
Published: 09 March 2010
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| PACS: |
03.65.-w
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(Quantum mechanics)
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11.30.-j
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(Symmetry and conservation laws)
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45.20.Jj
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(Lagrangian and Hamiltonian mechanics)
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02.20.Sv
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(Lie algebras of Lie groups)
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