| 相空间中相对运动完整力学系统的共形不变性与守恒量 |
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| 引用本文： | 王廷志,孙现亭,韩月林.相空间中相对运动完整力学系统的共形不变性与守恒量[J].物理学报,2014,63(10):104502-104502. |
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| 作者姓名： | 王廷志 孙现亭 韩月林 |
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| 作者单位： | 1. 江南大学理学院, 无锡 214122;2. 平顶山学院电气信息工程学院, 平顶山 467000 |
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| 基金项目： | 国家自然科学基金(批准号:11142014)资助的课题~~ |
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| 摘 要： | 研究了相空间中相对运动完整力学系统的共形不变性与守恒量.给出了该系统共形不变性的定义,并推导出相空间中相对运动完整力学系统的运动微分方程具有共形不变性并且是Lie对称性的充分必要条件.利用规范函数满足的结构方程导出该系统相应的守恒量,并给出应用算例.
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| 关 键 词： | 相空间 相对运动 共形不变性 守恒量 |
| 收稿时间： | 2013-12-20 |
Conformal invariance and conserved quantity of relative motion holonomic dynamical system in phase space |
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| Wang Ting-Zhi,Sun Xian-Ting,Han Yue-Lin.Conformal invariance and conserved quantity of relative motion holonomic dynamical system in phase space[J].Acta Physica Sinica,2014,63(10):104502-104502. |
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| Authors: | Wang Ting-Zhi Sun Xian-Ting Han Yue-Lin |
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| Abstract: | Conformal invariance and conserved quantity of relative motion holonomic dynamical system in phase space are studied. The definition of conformal invariance of relative motion holonomic dynamical system in phase space is provided. The necessary and sufficient conditions that conformal invariance of the system would be Lie symmetry are deduced. By use of a structure equation that the gauge function satisfies, the corresponding conserved quantity of the system is derived. Finally an illustrative example is given to verify the results.
Keywords：
phase space
relative motion
conformal invariance
conserved quantity |
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| Keywords: | phase space relative motion conformal invariance conserved quantity |
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