| The Lie symmetries and Noether conserved quantities of discrete mechanical systems with variable mass |
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| 作者姓名： | 施沈阳 傅景礼 黄晓虹 陈立群 张晓波 |
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| 作者单位： | Department of Physics, Zhejiang Sci-Tech University,
Hangzhou 310018, China；Shanghai Institute of Applied Mathematics and Mechanics,
Shanghai University, Shanghai 200072, China;Department of Physics, Zhejiang Sci-Tech
University,
Hangzhou 310018, China;School of Physics and Electronic Information, Wenzhou
University, Wenzhou 325000, China;Shanghai Institute of Applied Mathematics and Mechanics,
Shanghai University, Shanghai 200072, China;Department of Physics, Zhejiang Sci-Tech
University,
Hangzhou 310018, China |
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| 基金项目： | Project supported by the National
Natural Science Foundation of
China (Grant No 10672143). |
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| 摘 要： | This paper studies the Lie symmetries and Noether conserved quantities of discrete mechanical systems with variable mass. The discrete Euler-Lagrange equation and energy evolution equation are derived by using a total variational principle. The invariance of discrete equations under infinitesimal transformation groups is defined to be Lie symmetry. The condition of obtaining the Noether conserved quantities from the Lie symmetries is also presented. An example is discussed for applications of the results.
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| 关 键 词： | 离散结构 变量系统 对称性 物理数学 |
| 收稿时间： | 2007-05-21 |
| 修稿时间： | 8/1/2007 12:00:00 AM |
The Lie symmetries and Noether conserved quantities of discrete mechanical systems with variable mass |
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| Shi Shen-Yang,Fu Jing-Li,Huang Xiao-Hong,Chen Li-Qun and Zhang Xiao-Bo.The Lie symmetries and Noether conserved quantities of discrete mechanical systems with variable mass[J].Chinese Physics B,2008,17(3):754-758. |
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| Authors: | Shi Shen-Yang Fu Jing-Li Huang Xiao-Hong Chen Li-Qun and Zhang Xiao-Bo |
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| Institution: | Department of Physics, Zhejiang Sci-Tech University,
Hangzhou 310018, China；Shanghai Institute of Applied Mathematics and Mechanics,
Shanghai University, Shanghai 200072, China; Department of Physics, Zhejiang Sci-Tech
University,
Hangzhou 310018, China; School of Physics and Electronic Information, Wenzhou
University, Wenzhou 325000, China; Shanghai Institute of Applied Mathematics and Mechanics,
Shanghai University, Shanghai 200072, China |
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| Abstract: | This paper studies the Lie symmetries and Noether conserved
quantities of discrete mechanical systems with variable mass. The
discrete Euler--Lagrange equation and energy evolution equation are
derived by using a total variational principle. The invariance of
discrete equations under infinitesimal transformation groups is
defined to be Lie symmetry. The condition of obtaining the Noether
conserved quantities from the Lie symmetries is also presented. An
example is discussed for applications of the results. |
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| Keywords: | discrete mechanics variable
mass system Lie symmetry Noether conserved quantity |
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