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Generalized Mei Conserved Quantity of Mei Symmetry for Mechanico-electrical Systems with Nonholonomic Controllable Constraints |
| XIA Li-Li, ZHAO Xian-Lin |
| Department of Physics, Henan Institute of Education, Zhengzhou 450014 |
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| Cite this article: |
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XIA Li-Li, ZHAO Xian-Lin 2009 Chin. Phys. Lett. 26 010203 |
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Abstract On the basis of the total time derivative along the trajectory, we study the generalized Mei conserved quantity of Mei symmetry for mechanico-electrical systems with nonholonomic controllable constraints. Firstly, the definition and criterion of Mei symmetry for mechanico-electrical systems with nonholonomic controllable constraints are presented. Secondly, a coordination function is introduced, and the conditions of existence of generalized Mei conserved quantity as well as the forms are proposed. Lastly, an example is given to illustrate the application of the results.
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02.20.Sv
11.30.-j
45.20.Jj
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Received: 25 July 2008
Published: 24 December 2008
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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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45.20.Jj
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(Lagrangian and Hamiltonian mechanics)
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