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Special Lie–Mei Symmetry and Conserved Quantities of Appell Equations Expressed by Appell Fun |
| XIE Yin-Li, JIA Li-Qun |
| School of Science, Jiangnan University, Wuxi 214122 |
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| Cite this article: |
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XIE Yin-Li, JIA Li-Qun 2010 Chin. Phys. Lett. 27 120201 |
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Abstract Special Lie–Mei symmetry and conserved quantities for Appell equations expressed by Appell functions in a holonomic mechanical system are investigated. On the basis of the Appell equation in a holonomic system, the definition and the criterion of special Lie–Mei symmetry of Appell equations expressed by Appell functions are given. The expressions of the determining equation of special Lie–Mei symmetry of Appell equations expressed by Appell functions, Hojman conserved quantity and Mei conserved quantity deduced from special Lie–Mei symmetry in a holonomic mechanical system are gained. An example is given to illustrate the application of the results.
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| Keywords:
02.20.Sv
11.30.-j
45.20.Jj
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Received: 17 July 2010
Published: 23 November 2010
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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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