Characteristic functional structure of infinitesimal symmetry transformations of Birkhoffian systems

• 来源期刊: 中国物理（英文版）
• 关键词: analytical mechanics Birkhoffian system constant of motion characteristic functional structure infinitesimal symmetry transformation
• 年，卷（期）: 2004,（7）
• 页码范围: 979-983
• 页数: 5页
• 语种: 英文

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 Zμ (t, a) (intro duced by the relation ξμ (t, a) = Zμ(t, a) + aμξ0(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.