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.
Received: 04 April 2007
Accepted manuscript online:
PACS:
02.30.Jr
(Partial differential equations)
Fund: 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).
Cite this article:
Xie Jia-Fang(解加芳), Gang Tie-Qiang(冮铁强), and Mei Feng-Xiang(梅凤翔) Hojman conserved quantity deduced by weak Noether symmetry for Lagrange systems 2008 Chin. Phys. B 17 390
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