中国物理B ›› 2005, Vol. 14 ›› Issue (5): 882-887.doi: 10.1088/1009-1963/14/5/004

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Hojman's conservation theorems for generalized　Raitzin canonical equations of motion　　　　

乔永芬1, 赵淑红2, 李仁杰3   

  1. (1)Department of Mechanical Engineering and Automation, Zhejiang Institute of Science and Technology, Hangzhou 310027, China; Faculty of Science Laiyang Agricultural College, 265200,China; Engineering College of Northeast Agricultural University, Harbin 150030, China; (2)Engineering College of Northeast Agricultural University, Harbin 150030, China; (3)Faculty of Science Laiyang Agricultural College, 265200,China
  • 收稿日期:2004-05-26 修回日期:2005-01-22 出版日期:2005-05-19 发布日期:2005-05-19
  • 基金资助:
    Project supported by the Heilongjiang Natural Science Foundation of China (Grant No. 9507)

Hojman's conservation theorems for generalized Raitzin canonical equations of motion

Qiao Yong-Fen (乔永芬)abc, Li Ren-Jie (李仁杰)b,  Zhao Shu-Hong(赵淑红)c   

  1. a Department of Mechanical Engineering and Automation, Zhejiang Institute of Science and Technology, Hangzhou 310027, Chinab Faculty of Science Laiyang Agricultural College, Laiyang 265200,Chinac Engineering College of Northeast Agricultural University, Harbin 150030, China
  • Received:2004-05-26 Revised:2005-01-22 Online:2005-05-19 Published:2005-05-19
  • Supported by:
    Project supported by the Heilongjiang Natural Science Foundation of China (Grant No. 9507)

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摘要： Using the Lie symmetry under infinitesimal transformations in which the time is not variable, Hojman’s conservation theorems for Raitzin’s canonical equations of motion in generalized classical mechanics are studied. The generalized Raitzin’s canonical equations of motion are established. The determining equations of Lie symmetry under infinitesimal transformations are given. The Hojman’s conservation theorems of the system are established. Finally, an example is also presented to illustrate the application of the result.

关键词: generalized classical mechanics, Hojman’s conservation theorem, Raitzin’s canonical equation, Lie symmetry

Abstract: Using the Lie symmetry under infinitesimal transformations in which the time is not variable, Hojman’s conservation theorems for Raitzin’s canonical equations of motion in generalized classical mechanics are studied. The generalized Raitzin’s canonical equations of motion are established. The determining equations of Lie symmetry under infinitesimal transformations are given. The Hojman’s conservation theorems of the system are established. Finally, an example is also presented to illustrate the application of the result.

Key words: generalized classical mechanics, Hojman’s conservation theorem, Raitzin’s canonical equation, Lie symmetry

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  • 0320