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提出广义Hamilton-Tabarrok-Leech正则方程的对称性理论.列写系统的运动方程.研究系统的Noether对称性、形式不变性和Lie对称性,并求出相应的守恒量.举例说明结果的应用.
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关键词:
- 广义经典力学 /
- H-T-L 正则方程 /
- 对称性 /
- 守恒量
Symmetry theory of the generalized Hamilton-Tabarrok-Leech’s canonical equations is presented. The differential equations of motion of systems are written. The Noether symmetry, the form invariance and the Lie symmetry of systems are studied, and the corresponding conserved quantities are found. Finally, an example is given to illustrate the application of the results.-
Keywords:
- generalized classical mechanics /
- H-T-L canonical equation /
- symmetry /
- conserved quantity
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