| 事件空间中保守完整系统的离散变分原理和第一积分 |
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| 引用本文： | 张宏彬,陈礼群,刘荣万.事件空间中保守完整系统的离散变分原理和第一积分[J].中国物理 B,2005,14(5):888-892. |
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| 作者姓名： | 张宏彬 陈礼群 刘荣万 |
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| 作者单位： | Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China； Department of Physics, Anhui Chaohu Colloge, Chaohu 238000, China;Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China；Department of Mechanics, Shanghai University, Shanghai 200436, China |
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| 基金项目： | 国家自然科学基金资助（10172056）,安徽省教育厅自然科学基金资助（2004kj294） |
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| 摘 要： | 本文的研究表明：事件空间中完整保守系统的离散运动方程的第一积分可以通过研究其离散拉格朗日函数的不变性来确定，得到一个类似连续情况的离散诺特定理。最后给出两个例子用以说明本文结果的应用。
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| 关 键 词： | 事件空间 离散力学 完整保守系统 诺特定理 第一积分 |
| 收稿时间： | 2004-10-27 |
Discrete variational principle and the first integrals of the conservative holonomic systems in event space |
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| Zhang Hong-Bin,Chen Li-Qun and Liu Rong-Wan.Discrete variational principle and the first integrals of the conservative holonomic systems in event space[J].Chinese Physics B,2005,14(5):888-892. |
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| Authors: | Zhang Hong-Bin Chen Li-Qun and Liu Rong-Wan |
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| Institution: | Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China; Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China； Department of Physics, Anhui Chaohu Colloge, Chaohu 238000, China; Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China；Department of Mechanics, Shanghai University, Shanghai 200436, China |
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| Abstract: | The intent of this paper is to show that first integrals of discrete equation of motion for the conservative holonomic systems can be determined explicitly by investigating the invariance properties of the discrete Lagrangian in event space. The result obtained is a discrete analogue of Noether’s theorem in the calculus variations. The two examples are given to illustrate the applications of the result. |
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| Keywords: | event space discrete mechanics conservative holonomic system Noether’s theorem first integral |
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