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物理学报. 2003, 52(5): 1048-1050.
doi: 10.7498/aps.52.1048.
广义Hamilton系统的Lie对称性与守恒量
- 收稿日期: 2002-09-02
- 修回日期: 2002-10-14
- 刊出日期: 2003-05-20
摘要: 研究广义Hamilton系统Lie对称性导致的新型守恒量.首先,建立系统的微分方程.其次,研究一类特殊无限小变换下系统的Lie对称性.第三,将Hojman定理推广到广义Hamilton系统.最后,举例说明结果的应用.
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关键词:
- 广义Hamilton系统 /
- Lie对称性 /
- 守恒量
English Abstract
Lie symmetry and the conserved quantity of a generalized Hamiltonian system
- Received Date:
02 September 2002
- Accepted Date:
14 October 2002
- Published Online:
20 May 2003
Abstract: For a generalized Hamiltonian system, a new conservation law derived by using the Lie symmetry is studies. Firstly, the differential equations of the system are given. Secondly, the Lie symmetry under special infinitesimal transformations is studied. Thirdly, the theorem of Hojman is generalized to this system. Finally, an example is given to illustrate the application of the result.
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