| Vacco动力学方程的形式不变性 |
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| 引用本文： | 顾书龙,张宏彬,洪求三.Vacco动力学方程的形式不变性[J].安徽师范大学学报(自然科学版),2004,27(3):292-294,305. |
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| 作者姓名： | 顾书龙 张宏彬 洪求三 |
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| 作者单位： | 巢湖学院,物理系,安徽,巢湖,238000;巢湖学院,物理系,安徽,巢湖,238000;上海大学,应用数学和力学研究所,上海,200072 |
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| 基金项目： | 安徽省教育厅自然科学基金 |
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| 摘 要： | Vacco动力学系统的形式不变性的研究一直是近代分析力学发展的一个重要方向,多应用于现代工程力学的一些领域.文章研究了Vacco动力学方程的形式不变性,给出Vacco动力学方程形式不变性的定义与判据,并讨论了这种形式不变性与Noether 对称性之间的关系,最后举例说明结果的应用.
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| 关 键 词： | 分析力学 Vacco动力学方程 形式不变性 Noether 对称性 |
| 文章编号： | 1001-2443(2004)03-0292-03 |
ON THE FORM INVARIANCE OF VACCO DYNAMICS EQUATIONS |
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| GU Shu-long,ZHANG Hong-bin.ON THE FORM INVARIANCE OF VACCO DYNAMICS EQUATIONS[J].Journal of Anhui Normal University(Natural Science Edition),2004,27(3):292-294,305. |
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| Authors: | GU Shu-long ZHANG Hong-bin |
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| Institution: | GU Shu-long~1,ZHANG Hong-bin~ |
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| Abstract: | The study of dynamics of Vacco systems is a relatively new direction of development in mathematical physics, can be applied to quantum mechanics, mechanics of space flight and some fields in modern engineering science. The form invariance of Vacco dynamics equations under the infinitesimal transformations of group is studied. The definition and the criterion of the form invariance of Vacco dynamics equations are given. The relation between the form invariance and the Noether symmetry is discussed. An example is given to illustrate the application of the result. |
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| Keywords: | analytical mechanics vacco dynamics equations form invariance noether symmetry |
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