| 相空间中离散完整系统的Noether对称性和Mei对称性 |
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| 引用本文： | 路凯,方建会,张明江,王鹏.相空间中离散完整系统的Noether对称性和Mei对称性[J].物理学报,2009,58(11):7421-7425. |
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| 作者姓名： | 路凯 方建会 张明江 王鹏 |
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| 作者单位： | (1)新疆师范大学数学物理和信息科学学院，乌鲁木齐 830054; (2)中国石油大学（华东)物理科学与技术学院，东营 257061 |
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| 基金项目： | 中国石油大学(华东)研究生创新基金(批准号：S2009-19)资助的课题. |
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| 摘 要： | 研究相空间中离散完整系统的Noether对称性、Mei对称性及其导致的守恒量.利用差分离散变分方法，给出相空间中离散完整系统的差分离散变分原理，建立系统的离散正则方程和能量演化方程；给出系统Noether对称性和Mei对称性的判定条件，得到系统离散形式的Noether守恒量和Mei守恒量及其存在的条件.举例说明结果的应用.
关键词：
相空间
离散完整系统
对称性
守恒量
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| 关 键 词： | 相空间 离散完整系统 对称性 守恒量 |
| 收稿时间： | 2008-12-22 |
Noether symmetry and Mei symmetry of discrete holonomic system in phase space |
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| Lu Kai,Fang Jian-Hui,Zhang Ming-Jiang and Wang Peng.Noether symmetry and Mei symmetry of discrete holonomic system in phase space[J].Acta Physica Sinica,2009,58(11):7421-7425. |
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| Authors: | Lu Kai Fang Jian-Hui Zhang Ming-Jiang and Wang Peng |
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| Abstract: | The Noether symmetry, the Mei symmetry and the conserved quantities of discrete holonomic system in phase space are studied in this paper. Using the difference discrete variational approach, the difference discrete variational principle of discrete holonomic system in phase space is derived. The discrete canonical equations and energy evolution equation are established. The criterion of Noether symmetry and Mei symmetry of the system are given. The discrete Noether and Mei conserved quantities and the conditions for their existence are obtained. An example is discussed to show the applications of the results. |
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| Keywords: | phase space discrete holonomic system symmetry conserved quantity |
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