| 广义完整非保守力学系统的Noether对称性及其守恒量 |
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| 引用本文： | 董文山.广义完整非保守力学系统的Noether对称性及其守恒量[J].曲阜师范大学学报,2006,32(2):63-66. |
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| 作者姓名： | 董文山 |
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| 作者单位： | 潍坊学院物理系,山东省潍坊市261043 |
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| 摘 要： | 研究广义完整非保守力学系统的Noether对称性与守恒量．建立系统逆变代数形式的运动微分方程，基于Hamilton作用量在无限小变换群作用下的不变性，给出系统的Noether广义准对称变换和广义Killing方程，得到系统的广义Noether定理及逆定理；最后举例说明结果的应用．
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| 关 键 词： | 广义力学系统 对称性 守恒量 Killing方程 |
| 文章编号： | 1001-5337（2006）02-0063-04 |
| 收稿时间： | 2005-05-27 |
| 修稿时间： | 2005-05-27 |
Noether Synnetries and Conserved Quantities for Holonomic Nonconservative Dynamical Systems in Generalized Classical Mechanics |
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| DONG Wen-shan.Noether Synnetries and Conserved Quantities for Holonomic Nonconservative Dynamical Systems in Generalized Classical Mechanics[J].Journal of Qufu Normal University(Natural Science),2006,32(2):63-66. |
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| Authors: | DONG Wen-shan |
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| Institution: | Department of Physics, University of Weifang, 261043, Weifang, Shandong, PRC |
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| Abstract: | In this paper,Noether synnetries and conserved quantities for holonomic nonconservative dynamical systems in generalized classical mechanics are studied.Based on the invariance of hamiltonian action under infinitesimal transformation,the differential equations of motion forcontravariant algebra form of the systems are established.The Noether generalized quasi-symmetic transformations and generalized Killing equations are given.The generalized Noether's theorem and the inverse theorem of the systems are obtained;and an example is given to illustrate the application of the result. |
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| Keywords: | generalized mechanics system symmetry conserved quantities Killing equation |
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