| 事件空间中变质量完整系统的Noether对称性、Lie对称性 |
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| 引用本文： | 谢友波,张毅.事件空间中变质量完整系统的Noether对称性、Lie对称性[J].苏州科技学院学报(自然科学版),2009,26(3):20-25. |
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| 作者姓名： | 谢友波 张毅 |
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| 作者单位： | 苏州科技学院,土木工程学院,江苏,苏州,215011 |
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| 基金项目： | 江苏省高校自然科学基金资助项目 |
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| 摘 要： | 研究事件空间中变质量完整力学系统的Noether对称性和Lie对称性。给出了系统的运动微分方程，在参数τ不变的无限小变换下，研究了系统的Noether对称性和Lie对称性，得到了对称性导致的Noether守恒量，并举例说明结果的应用。
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| 关 键 词： | 事件空间 变质量系统 Noether对称性 Lie对称性 Noether守恒量 |
Noether Symmetries and Lie Symmetries for Variable Mass Systems with Holonomic Constraints in Event Space |
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| XIE You-bo,ZHANG Yi.Noether Symmetries and Lie Symmetries for Variable Mass Systems with Holonomic Constraints in Event Space[J].Journal of University of Science and Technology of Suzhou,2009,26(3):20-25. |
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| Authors: | XIE You-bo ZHANG Yi |
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| Institution: | (College of Civil Engineering, SUST, Suzhou 215011, China ) |
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| Abstract: | The Noether symmetries and Lie symmetries for variable mass systems with holonomic constraints in event space are studied. The differential equations of motion of the systems are given. Under the infinitesimal transformations with △τ=0, the Noether symmetries and the Lie symmetries of the systems are studied, and the Noether conserved quantities led by the symmetries are obtained. An example is given to illustrate the application of the results. |
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| Keywords: | event space variable mass system Noether symmetry Lie symmetry Noether conserved quantity |
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