中国物理B ›› 2008, Vol. 17 ›› Issue (2): 390-393.doi: 10.1088/1674-1056/17/2/006

• GENERAL • 上一篇    下一篇

Hojman conserved quantity deduced by weak Noether symmetry for Lagrange systems

解加芳, 冮铁强, 梅凤翔   

  1. Department of Mechanics, Faculty of Science, Beijing Institute of Technology, Beijing 100081, China
  • 收稿日期:2007-04-04 出版日期:2008-02-20 发布日期:2008-02-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10572021 and 10772025) and the Doctoral Program Foundation of Institution of Higher Education of China (Grant No 20040007022).

Hojman conserved quantity deduced by weak Noether symmetry for Lagrange systems

Xie Jia-Fang(解加芳)†, Gang Tie-Qiang(冮铁强), and Mei Feng-Xiang(梅凤翔)   

  1. Department of Mechanics, Faculty of Science, Beijing Institute of Technology, Beijing 100081, China
  • Received:2007-04-04 Online:2008-02-20 Published:2008-02-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10572021 and 10772025) and the Doctoral Program Foundation of Institution of Higher Education of China (Grant No 20040007022).

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摘要： This paper studies the Hojman conserved quantity, a non-Noether conserved quantity, deduced by special weak Noether symmetry for Lagrange systems. Under special infinitesimal transformations in which the time is not variable, its criterion is given and a method of how to seek the Hojman conserved quantity is presented. A Hojman conserved quantity can be found by using the special weak Noether symmetry.

Abstract: This paper studies the Hojman conserved quantity, a non-Noether conserved quantity, deduced by special weak Noether symmetry for Lagrange systems. Under special infinitesimal transformations in which the time is not variable, its criterion is given and a method of how to seek the Hojman conserved quantity is presented. A Hojman conserved quantity can be found by using the special weak Noether symmetry.

Key words: Lagrange system, special weak Noether symmetry, Hojman conserved quantity

中图分类号:  (Partial differential equations)

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