| Lagrange函数等效变换对形式不变性的影响 |
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| 引用本文： | 丁光涛.Lagrange函数等效变换对形式不变性的影响[J].安徽师范大学学报(自然科学版),2008,31(3):223-228. |
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| 作者姓名： | 丁光涛 |
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| 作者单位： | 安徽师范大学,物理与电子信息学院,安徽芜湖,241000 |
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| 摘 要： | 研究Lagrange函数两种等效变换对系统形式不变性的影响,给出了保持形式不变性的条件,指出利用Lagrange函数等效变换使系统产生形式不变性的可能.举例说明结果的应用.
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| 关 键 词： | Lagrange函数的规范等效变换 Lagrange函数的同位等效变换 形式不变性 分析力学 |
| 文章编号： | 1001-2443(2008)03-0223-06 |
| 修稿时间： | 2008年1月5日 |
Effects of Equivalent Transformations of Lagrange Functions on Form-Invariance |
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| DING Guang-tao.Effects of Equivalent Transformations of Lagrange Functions on Form-Invariance[J].Journal of Anhui Normal University(Natural Science Edition),2008,31(3):223-228. |
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| Authors: | DING Guang-tao |
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| Abstract: | The effects of two kinds of equivalent transformations of Lagrange functions on form-invariance of mechanics systams are studied.The conditions under which the form-invariance can be kept are given.And the possibilities of making systems form-invariance with the use of equivalent transformations of Lagrange functions are pointed out.Four examples are given to illustrate the applicalion of the results. |
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| Keywords: | equivalent transformation of Lagrange function isotopic equivalent transformation of Lagrange function form-invariance analytical mechanics |
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