完整系统Tzénoff方程的Mei对称性直接导致的另一种守恒量  

Another kind of conserved quantity induced directly from Mei symmetry of Tzénoff equations for holonomic systems

作　　者：郑世旺[1] 解加芳[2] 陈向炜[1] 杜雪莲[1] 

机构地区：[1]商丘师范学院物理与信息工程系 [2]北方工业大学理学院,北京100144

出　　处：《物理学报》2010年第8期5209-5212,共4页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:10972127);北方工业大学科研基金资助的课题~~

摘　　要：研究了完整力学系统Tzénoff方程Mei对称性直接导致的另一种守恒量,给出了这种守恒量的函数表达式和导致这种守恒量的确定方程.利用该方法比以往更易找到守恒量.最后举例说明了新结果的应用.Another kind of conserved quantity deduced from Mei symmetry of Tzénoff equations for holonomic systems is studied. The expression of this conserved quantity and the determining equation to induce this conserved quantity are presented. The results indicate that this new method is easier to find conserved quantities than methods reported previously. Finally, application of this new result is presented by a practical example.

关 键 词：完整力学系统 TZÉNOFF方程 MEI对称性 守恒量 

分 类 号：O316[理学—一般力学与力学基础]