Characteristic functional structure of infinitesimal symmetry transformations of Birkhoffian systems
Gu Shu-Long (顾书龙)a, Zhang Hong-Bin (张宏彬)b
a Department of Physics, Chaohu College, Chaohu 238000, China; b Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
Abstract 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 $Z_{\mu}(t,a)$ (introduced by the relation $\xi_{\mu}(t,a)=Z_{\mu}(t,a)+\dot{a}^{\mu}\xi_0 (t, a))$ 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.
Received: 16 October 2003
Revised: 16 January 2004
Accepted manuscript online:
PACS:
45.05.+x
(General theory of classical mechanics of discrete systems)
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