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物理学报. 2008, 57(11): 6709-6713.
doi: 10.7498/aps.57.6709.
广义Hamilton系统的共形不变性与Hojman守恒量
- 收稿日期: 2007-12-23
- 修回日期: 2008-03-25
- 刊出日期: 2008-11-20
摘要: 研究了广义Hamilton系统在无限小变换下的共形不变性，推导出共形不变性的确定方程，找到在无限小变换下的共形不变性并且是Lie对称性的共形因子，最后导出广义Hamilton系统的运动微分方程共形不变时的Hojman守恒量，并给出应用算例.
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关键词:
- 广义Hamilton系统 /
- 共形不变性 /
- Hojman守恒量 /
- 确定方程
English Abstract
Conformal invariance and Hojman conserved quantities of generalized Hamilton systems
- Received Date:
23 December 2007
- Accepted Date:
25 March 2008
- Published Online:
20 November 2008
Abstract: In this paper the conformal invariance under infinitesimal transformations of generalized Hamilton systems is studied. The necessary and sufficient conditions for the conformal invariance under infinitesimal transformations which has Lie symmetry are given. Then we get the Hojman conserved quantities from conformal invariance of generalized Hamilton systems. Finally，an illustrative example is given to verify the result.
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