Conformal invariance and Hojman conserved quantities of first order Lagrange systems

• 来源期刊: 中国物理B（英文版）
• 关键词: first order Lagrange systems infinitesimal transformation conformal invariance Hojman conserved quantities
• 年，卷（期）: 2008,（9）
• 页码范围: 3180-3184
• 页数: 5页
• 语种: 英文

摘要

In this paper the conformal invaxiance by infinitesimal transformations of first order Lagrange systems is discussed in detail.The necessary and sufficient conditions of conformal invariance and Lie symmetry simultaneously by the action of infinitesimal transformations are given.Then it gets the Hojman conserved quantities of conformal invariance by the infinitesimal transformations.Finally an example is given to illustrate the application of the results.