| Hamilton系统Noether理论的新型逆问题 |
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| 引用本文： | 丁光涛.Hamilton系统Noether理论的新型逆问题[J].物理学报,2010,59(3):1423-1427. |
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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，芜湖 241000 |
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| 摘 要： | 研究Hamilton系统Noether理论新型的逆问题,得到利用Noether理论从已知的第一积分构建Hamilton函数和对称性的一般解法和若干特殊解法,提出由Hamilton函数直接导出守恒量的两条推论.举例说明所得结果的应用.
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| 关 键 词： | Noether理论 Hamilton系统 逆问题 守恒量 |
| 收稿时间： | 2009-05-24 |
New kind of inverse problems of Noether's theory for Hamiltonian systems |
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| Ding Guang-Tao.New kind of inverse problems of Noether's theory for Hamiltonian systems[J].Acta Physica Sinica,2010,59(3):1423-1427. |
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| Authors: | Ding Guang-Tao |
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| Abstract: | In this paper, a new kind of inverse problems of Noether' s theory for Hamiltonian systems is studied. The general solution and the specific solutions of constructing the Hamiltonians and the symmetries from known first integrals by using Noether' s theory are obtained. Two corollaries according to which the conserved quantities can be deduced directly from the Hamiltonians are presented. Two examples are given to illustrate the application of the results. |
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| Keywords: | Noether's theory Hamiltonian system inverse problem conserved quantity |
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