| 完整力学系统的高阶Hamilton正则方程 |
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| 引用本文： | 张相武.完整力学系统的高阶Hamilton正则方程[J].安徽大学学报(自然科学版),2006,30(2):41-44. |
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| 作者姓名： | 张相武 |
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| 作者单位： | 陇东学院,物理系,甘肃,庆阳,745000 |
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| 摘 要： | 运用完整力学系统的高阶Lagrange方程建立了完整力学系统的高阶Ham ilton正则方程,得到完整有势力学系统高阶循环积分和高阶广义能量积分,并阐明了高阶Ham ilton函数的物理意义.
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| 关 键 词： | 高阶广义动量 高阶Hamilton函数 高阶Hamilton正则方程 高阶Lagrange函数 |
| 文章编号： | 1000-2162（2006）02-0041-04 |
| 收稿时间： | 2005-09-14 |
| 修稿时间： | 2005-09-14 |
Higher order Hamilton's canonical equations of holonomic mechanical system |
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| ZHANG Xiang-wu.Higher order Hamilton''''s canonical equations of holonomic mechanical system[J].Journal of Anhui University(Natural Sciences),2006,30(2):41-44. |
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| Authors: | ZHANG Xiang-wu |
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| Institution: | Department of Physics, Longdong University, Qingyang 745000, China |
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| Abstract: | By using higher order Lagrange equations of holonomic mechanical system,higher order Hamilton's canonical equations of holonomic mechanical system are obtained,by which the higher order cyclic integral and the higher order generalized energy integral of holonomic potential mechanical system are obtained,and the physical meaning of higher order Hamilton's function is explained. |
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| Keywords: | higher order generalized momentum higher order Hamilton's function higher order Hamilton's canonical equations higher order Lagrange's function |
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