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A New Type of Conserved Quantity of Mei Symmetry for Holonomic Mechanical System |
| FANG Jian-Hui, ZHANG Ming-Jiang, LU Kai |
| College of Physics Science and Technology, China University of Petroleum, Dongying 257061 |
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| Cite this article: |
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FANG Jian-Hui, ZHANG Ming-Jiang, LU Kai 2009 Chin. Phys. Lett. 26 110202 |
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Abstract A new type of conserved quantity which is directly induced by the Mei symmetry of the holonomic system is studied. Firstly, the definition and criterion of the Mei symmetry for a holonomic mechanical system is given. Secondly, the condition of existence of the new conserved quantity as well as its form is obtained. Lastly, an example is given to illustrate the application of the results.
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02.20.Sv
11.30.-j
45.05.+x
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Received: 20 August 2009
Published: 30 October 2009
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| PACS: |
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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45.05.+x
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(General theory of classical mechanics of discrete systems)
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