中国物理B ›› 2004, Vol. 13 ›› Issue (7): 979-983.doi: 10.1088/1009-1963/13/7/001
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顾书龙1, 张宏彬2
Gu Shu-Long (顾书龙)a, Zhang Hong-Bin (张宏彬)b
摘要: In this paper, it is shown that infinitesimal symmetry transformations of Birkhoffian systems have a characteristic functional structure, which is formulated by means of an auxiliary symmetry transformation function Z_μ(t,a) (introduced by the relation ξ_μ(t,a)=Z_μ(t,a)+\dot{a}^μξ_0 (t, a)) and is manifestly dependent upon the constants of motion of the system. At the end of the paper, an example is given to illustrate the application of the results.
中图分类号: (General theory of classical mechanics of discrete systems)