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Lie Symmetry and Non-Noether Conserved Quantity for Hamiltonian Systems
作者姓名:吴惠彬
作者单位:SchoolofScience,BeijingInstituteofTechnology,Beijing100081,China
摘    要: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.

关 键 词:Hamiltonian系统  非理性论  保存数量  极小量转换  Lie对称
收稿时间:2003/7/17 0:00:00

Lie Symmetry and Non-Noether Conserved Quantity for Hamiltonian Systems
WU Hui-bin.Lie Symmetry and Non-Noether Conserved Quantity for Hamiltonian Systems[J].Journal of Beijing Institute of Technology,2004,13(1):94-95.
Authors:WU Hui-bin
Affiliation:School of Science, Beijing Institute of Technology, Beijing 100081, China
Abstract: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.
Keywords:Hamiltonian system  Lie symmetry  conserved quantity
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