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有多余坐标完整系统的联合对称性及其守恒量
引用本文:苏建新,马顺良,李邵辉,韩祥亮.有多余坐标完整系统的联合对称性及其守恒量[J].汕头大学学报(自然科学版),2006,21(2):33-37.
作者姓名:苏建新  马顺良  李邵辉  韩祥亮
作者单位: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
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.

关 键 词:多余坐标  完整系统  对称性  守恒量
文章编号:1001-4217(2006)02-0033-05
收稿时间:2005-10-28
修稿时间:2005年10月28

Unified Symmetry and Conserved Quantity for Holonomic Mechanical Systems with Remainder Coordinates
SU Jian-xin,MA Shun-liang,LI Shao-hui,HAN Xiang-liang.Unified Symmetry and Conserved Quantity for Holonomic Mechanical Systems with Remainder Coordinates[J].Journal of Shantou University(Natural Science Edition),2006,21(2):33-37.
Authors:SU Jian-xin  MA Shun-liang  LI Shao-hui  HAN Xiang-liang
Institution:1. Department of Ph.vsies. Shantou University, Shantou 515063. Guangdong, China; 2. The Second Middle School of Linqu. Weifang 262609, Shandong, China
Abstract: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.
Keywords:remainder coordinate  holonomic system  symmetry  conserved quantit
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