Noether symmetry and non-Noether conserved quantity of the relativistic holonomic nonconservative systems in general Lie transformations

• 来源期刊: 中国物理B（英文版）
• 关键词: relativity holonomic nonconservative system Noether symmetry non-Noether conserved quantity
• 年，卷（期）: 2007,（11）
• 页码范围: 3182-3186
• 页数: 5页
• 语种: 英文

摘要

For a relativistic holonomic nonconservative system, by using the Noether symmetry, a new non-Noether conserved quantity is given under general infinitesimal transformations of groups. On the basis of the theory of invariance of differential equations of motion under general infinitesimal transformations, we construct the relativistic Noether symmetry, Lie symmetry and the condition under which the Noether symmetry is a Lie symmetry under general infinitesimal transformations. By using the Noether symmetry, a new relativistic non-Noether conserved quantity is given which only depends on the variables t, qs and (q)s. An example is given to illustrate the application of the results.