A General Approach to the Construction of Conservation Laws for Birkhoffian Systems in Event Space

• 来源期刊: 理论物理通讯(英文版)
• 年，卷（期）: 2008,（10）
• 页码范围: 851-854
• 页数: 4页
• 语种: 英文

摘要

For a Birkhoman system in the event space, a general approach to the construction of conservation laws is presented. The conservation laws are constructed by finding corresponding integrating factors for the parametric equations of the system. First, the parametric equations of the Birkhoffian system in the event space are established, and the definition of integrating factors for the system is given; second the necessary conditions for the existence of conservation laws are studied in detail, and the relation between the conservation laws and the integrating factors of the system is obtained and the generalized Killing equations for the determination of the integrating factors are given; finally, the conservation theorem and its inverse for the system are established, and an example is given to illustrate the application of the results.