有多余坐标完整系统的联合对称性及其守恒量  

Unified Symmetry and Conserved Quantity for Holonomic Mechanical Systems with Remainder Coordinates

作　　者：苏建新[1] 马顺良[1] 李邵辉[1] 韩祥亮 

机构地区：[1]汕头大学理学院物理系,广东汕头515063 [2]临朐第二高级中学物理组,山东潍坊262609

出　　处：《汕头大学学报（自然科学版）》2006年第2期33-37,共5页Journal of Shantou University：Natural Science Edition

摘　　要：研究有多余坐标完整系统的对称性与守恒量.给出有多余坐标完整系统联合对称性的定义、判据,由联合对称性导出Noether守恒量、Hojman守恒量和Mei守恒量.举例说明了结果的应用.The unified symmetry and conserved quantity of the holonomie mechanical systems with remainder coordinates are studied. The definition and criterion of the unified symmetry of the holonomie mechanical systems with remainder coordinates are given. The Noether conserved quantity, the Hojman conserved quantity and a new type of conserved quantity deduced from the unified symmetry are obtained. Finally, an example is given to illustrate the application of the results.

关 键 词：多余坐标 完整系统 对称性 守恒量 

分 类 号：O411.1[理学—理论物理]