The Lie symmetrical non-Noether conserved quantity of holonomic Hamiltonian system

• 来源期刊: 中国物理（英文版）
• 关键词: Hamiltonian system Lie symmetry non-Noether conserved quantity
• 年，卷（期）: 2004,（10）
• 页码范围: 1620-1622
• 页数: 3页
• 语种: 英文

摘要

In this paper, we study the Lie symmetrical non-Noether conserved quantity of a holonomic Hamiltonian system under the general infinitesimal transformations of groups. Firstly, we establish the determining equations of Lie symmetry of the system. Secondly, the Lie symmetrical non-Noether conserved quantity of the system is deduced. Finally,an example is given to illustrate the application of the result.