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《Journal of Anhui Normal University(Natural Science)》 2009-01
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Effects of Equivalent Transformations of Lagrange Functions on Symmetries and Conserved Quantities of Mechanics Systems

DING Guang-tao(College of Physics and Electrical Information,Anhui Normal University,Wuhu 241000,China)  
The effects of two kinds of equivalent transformations of Lagrange functions on symmetries and conserved quantities of mechanics systems are studied.Under the guage equivalent transformations,the Noether conserved quantities of systems will remain,but the Noether equality may vary and the conditions under which the Noether symmetries can be kept are given.Under the isotopic equivalent transformations,the Noether conserved quantities will still remain,but the Noether symmetries will vary and the ways to construct new symmetry transformations are given.Under two kinds of equivalent tromsformations of Lagrange functions,the Lie symmetries and the Hojman conserved quantities of mechanics systems will still remain.Three examples are given to illustrate the application of the results.
【CateGory Index】: O316
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