%0 Journal Article
%T Hojman conserved quantity for a holonomic system in the event space<br>事件空间中完整系统的Hojman守恒量
%A Xu Xue-Jun
%A Mei Feng-Xiang
%A Qin Mao-Chang
%A <br>许学军
%A 梅凤翔
%A 秦茂昌
%J 物理学报
%D 2005
%I 
%X A Hojman conserved quantity constructed by using the special Lie symmetry, or the Noether symmetry, or the form invariance for a holonomic system in the event space is studied. First, the differential equations of motion of the system are established. Second, the critera of three kinds of symmetries, such as the Lie symmetry, the Noether symmetry and the form invariance, and the relation among them are obtained. Third, the conservation law theorem gained by Hojman is generalized and applied to the system, and a non-Noether conserved quantity is obtained. Two examples are finally given to illustrate the application of the results.
%K analytical mechanics
%K holonomic system
%K event space
%K symmetry
%K Hojman conserved quantity<br>分析力学，
%K 完整系统，
%K 事件空间，
%K 对称性，
%K Hojman守恒量
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=71E20287A0DAC135&yid=2DD7160C83D0ACED&vid=318E4CC20AED4940&iid=38B194292C032A66&sid=9F481C73BF82C48F&eid=512771C17A2FFC1B&journal_id=1000-3290&journal_name=物理学报&referenced_num=1&reference_num=25