文献类型：期刊文献

中文题名：一类多自由度线性耦合系统的对称性与守恒量研究

英文题名：The study of symmetries and conserved quantities for one class of linearly coupled multidimensional freedom systems

作者：楼智美[1]

机构：[1]绍兴文理学院物理系

年份：2007

卷号：56

期号：5

起止页码：2475

中文期刊名：物理学报

外文期刊名：Acta Physica Sinica

收录：SCI-EXPANDED(收录号：WOS:000246600400001)、CSTPCD、、北大核心2004、Scopus、CSCD2011_2012、WOS、北大核心、CSCD

语种：中文

中文关键词：多自由度线性耦合系统;守恒量;Noether对称性;Lie对称性

外文关键词：linear coupled multidimensional freedom systems, conserved quantities, Noether symmetry, Lie symmetry

中文摘要：运用改变坐标标度和旋转坐标轴的方法先消去Lagrange函数中的耦合项,直接得到新坐标系下的守恒量,利用坐标反变换得到原坐标系下的守恒量,并讨论与守恒量相应的无限小变换的Noether对称性与Lie对称性,最后举例说明结果的应用.

外文摘要：In this paper, we eliminate the coupled terms in I^grangian firstly by changing the coordinate scales and rotating the coordinate axes, and obtain the conserved quantities in new coordinates directly. According inverse transform of the coordinates, we can obtain the conserved quantities in original coordinates, the Noether symmetry and Lie symmetry of the infinitesimal transformations of conserved quantities are studied in this paper, and an example is given to illustrate the application of the result.