A new non-Noether conserved quantity of the relativistic holonomic nonconservative systems in general Lie transformations

• 来源期刊: 中国物理（英文版）
• 关键词: relativity holonomic nonconservative system Lie symmetry non-Noehter conserved quantity
• 年，卷（期）: 2005,（4）
• 页码范围: 656-659
• 页数: 4页
• 语种: 英文

摘要

For the relativistic holonomic nonconservative system, a new Lie symmetrical non-Noether conserved quantity is given under general infinitesimal transformations of groups in which time is variable. On the basis of the theory of invariance of differential equations of motion under infinitesimal transformations for t and qs, we construct the relativistic Lie symmetrical determining equations and obtain directly a new relativistic Lie symmetrical non-Noether conserved quantity of the system, which only depend on the variables t, qs and qs. An example is given to illustrate the application of the results.