Noether symmetry and Lie symmetry of discrete holonomic systems with dependent coordinates |
| |
Authors: | Shi Shen-Yang and Huang Xiao-Hong |
| |
Institution: | Department of Physics, Zhejiang Sci-Tech
University,
Hangzhou 310018, China; School of Physics and Electronic Information, Wenzhou
University, Wenzhou 325000, China |
| |
Abstract: | The Noether symmetry, the Lie symmetry and the conserved quantity of
discrete holonomic systems with dependent coordinates are
investigated in this paper. The Noether symmetry provides a discrete
Noether identity and a conserved quantity of the system. The
invariance of discrete motion equations under infinitesimal
transformation groups is defined as the Lie symmetry, and the
condition of obtaining the Noether conserved quantity from the Lie
symmetry is also presented. An example is discussed to show the
applications of the results. |
| |
Keywords: | discrete mechanics Noether
symmetry Lie symmetry discrete conserved quantity |
本文献已被 维普 等数据库收录! |
| 点击此处可从《中国物理 B》浏览原始摘要信息 |
| 点击此处可从《中国物理 B》下载免费的PDF全文 |
|