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《北京理工大学学报(英文版)》 2004-01
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Lie Symmetry and Non-Noether Conserved Quantity for Hamiltonian Systems

WU Hui-bin (School of Science, Beijing Institute of Technology, Beijing100081, China)  
A non-Noether conserved quantity for the Hamiltonian system is studied. A particular infinitesimal transformation is given and the determining equations of Lie symmetry are established. An existence theorem of the non-Noether conserved quantity is obtained. An example is given to illustrate the application of the result.
【Fund】: Sponsoredby theNationalNaturalScienceFoundation ( 19972 0 10 ;;10 2 72 0 2 1)
【CateGory Index】: O411.1
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