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A type of conserved quantity of Mei symmetry of Nielsen equations for a holonomic system |
Cui Jin-Chao (崔金超)a b, Han Yue-Lin (韩月林)a, Jia Li-Qun (贾利群 )a |
a School of Science, Jiangnan University, Wuxi 214122, China; b School of Astronautics, Beijing Institute of Technology, Beijing 100081, China |
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Abstract A type of structural equation and conserved quantity which are directly induced by Mei symmetry of Nielsen equations for a holonomic system are studied. Under the infinitesimal transformation of groups, from the definition and the criterion of Mei symmetry, a type of structural equation and conserved quantity for the system by proposition 2 are obtained, and the inferences in two special cases are given. Finally, an example is given to illustrate the application of the results.
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Received: 05 January 2012
Revised: 12 January 2012
Accepted manuscript online:
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PACS:
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02.20.Sv
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(Lie algebras of Lie groups)
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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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Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11142014 and 61178032). |
Corresponding Authors:
Jia Li-Qun
E-mail: jlq0000@163.com
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Cite this article:
Cui Jin-Chao (崔金超), Han Yue-Lin (韩月林), Jia Li-Qun (贾利群 ) A type of conserved quantity of Mei symmetry of Nielsen equations for a holonomic system 2012 Chin. Phys. B 21 080201
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