摘要
首先利用时间重新参数化方法,建立并证明事件空间中时标上Hamilton系统的Noether对称性定理;然后,通过事件空间中时标的Hamilton原理,导出时标的Hamilton正则方程,进而给出事件空间中时标上Hamilton系统的Noether守恒量.所得结果揭示了系统的对称性与守恒量间的内在联系.
Firstly,by using the time reparameterization method,we established and proved the Noether’s symmetry theorems of Hamilton s ystem on time scales in event space.Secondly,through Hamilton principle on time scales in event space,we derived Hamilton canonical equations of the time scale,and then gave the Noether’s conserved quantity of the Hamilton system on time scales in event space.The results revealed the inherent relation between the symmetry of the system and the conserved quantity.
作者
施玉飞
张毅
SHI Yufei;ZHANG Yi(College of Mathematics Sciences,Suzhou University of Science and Technology,Suzhou 215009,Jiangsu Province,China;College of Civil Engineering,Suzhou University of Science and Technology,Suzhou 215011,Jiangsu Province,China)
出处
《吉林大学学报（理学版）》
CAS
北大核心
2021年第3期482-488,共7页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:11972241,11572212)
江苏省自然科学基金(批准号:BK20191454)
江苏省普通高校研究生科研创新计划项目(批准号:KYZZ15_0349)
苏州科技大学研究生科研创新计划项目(批准号:SKCX15_063)。
