变质量完整系统Tzénoff方程Mei对称性的共形不变性与守恒量  

Conformal invariance and conserved quantity of Mei symmetry for Tzénoff equations in holonomic systems with variable mass

作　　者：郑世旺[1] 

机构地区：[1]商丘师范学院物理与电气信息学院,河南商丘476000

出　　处：《商丘师范学院学报》2016年第12期32-36,共5页Journal of Shangqiu Normal University

基　　金：国家自然科学基金资助项目(11372169)

摘　　要：针对变质量的完整约束力学系统建立了相应的Tzénoff方程,给出了Tzénoff方程Mei对称性共形不变性成立时所需的条件,进一步研究了Mei对称性共形不变性所能导出的守恒量,得到了直接用Tzénoff函数来表达的该守恒量的表达式和能够导出这种守恒量的判定方程,最后用实例来说明研究结果的应用.The corresponding Tzenoff equation is established for the holonomic systems with variable mass. Then the conditions which needed to form the conformal invariance and conserved quantity of Mei Symmetry for Tzenoff equations are given. The conserved quantity derived from conformal invarianee of Mei symmetry is further explored. By using the Tzenoff functions, the discriminating functions of conserved quantities and the criterion equations which deduce the conserved quantities are directly obtained. Finally, an example is given to illustrate the application of the research results.

关 键 词：变质量 完整约束系统 Tzénoff方程 共形不变性 守恒量 

分 类 号：O316[理学—一般力学与力学基础]