Dynamics symmetries of Hamiltonian system on time scales

被引:16
|
作者
Peng, Keke [1 ]
Luo, Yiping [1 ]
机构
[1] Zhejiang Sci Tech Univ, Dept Phys, Hangzhou 310018, Zhejiang, Peoples R China
基金
中国国家自然科学基金;
关键词
BOUNDARY-VALUE-PROBLEMS; CONSERVED QUANTITIES; NOETHER SYMMETRY; LIE SYMMETRY; MEI SYMMETRY; NONHOLONOMIC CONSTRAINTS; CONFORMAL-INVARIANCE; FORM INVARIANCE; CALCULUS; EQUATIONS;
D O I
10.1063/1.4871545
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper, the dynamics symmetries of Hamiltonian system on time scales are studied. We study the symmetries and quantities based on the calculation of variation and Lie transformation group. Particular focus lies in: the Noether symmetry leads to the Noether conserved quantity and the Lie symmetry leads to the Noether conserved quantity if the infinitesimal transformations satisfy the structure equation. As the new application of result, at end of the article, we give a simple example of Noether symmetry and Lie symmetry on time scales. (C) 2014 AIP Publishing LLC.
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页数:10
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