| Lie群在力学中的应用 |
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| 引用本文： | 施国勇.Lie群在力学中的应用[J].宁波大学学报(理工版),1994(2). |
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| 作者姓名： | 施国勇 |
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| 作者单位： | 宁波大学应用数学系 |
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| 摘 要： | 本文用Ｌｉｅ群理论中无穷小变换的延拓方法（Ｐｒｏｌｏｎｇａｔｉｏｎｏｆｉｎｆｉｎｉｔｅｓｉｍａｌｔｒａｎｓｆｏｒｍａｔｉｏｎｓ）推导动力学系统的守恒定律与场的守恒定律。这一方法统一、简洁，避免了应用中推导的繁琐，且便于推广。
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| 关 键 词： | 无穷小变换，延拓，守恒定律，Noether定理 |
APPLICATION OF LIE GROUPS IN MECHANICS |
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| shi Guoyong.APPLICATION OF LIE GROUPS IN MECHANICS[J].Journal of Ningbo University(Natural Science and Engineering Edition),1994(2). |
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| Authors: | shi Guoyong |
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| Abstract: | his paper uses the method of Prolongation of infinitesimal transfrmations in deriving some conservation laws in dynamic systeme and in fields theory. This unified method is quite concise, avoiding tedious manipulations in some literatuns. The method can be easily generalized. |
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| Keywords: | infinitesimal transformatin porolongation conseration lawNoether's theorem |
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