摘要
研究事件空间中变质量完整力学系统的Noether对称性和Lie对称性。给出了系统的运动微分方程,在参数τ不变的无限小变换下,研究了系统的Noether对称性和Lie对称性,得到了对称性导致的Noether守恒量,并举例说明结果的应用。
The Noether symmetries and Lie symmetries for variable mass systems with holonomic constraints in event space are studied. The differential equations of motion of the systems are given. Under the infinitesimal transformations with △τ=0, the Noether symmetries and the Lie symmetries of the systems are studied, and the Noether conserved quantities led by the symmetries are obtained. An example is given to illustrate the application of the results.
出处
《苏州科技学院学报（自然科学版）》
CAS
2009年第3期20-25,共6页
Journal of Suzhou University of Science and Technology （Natural Science Edition）
基金
江苏省高校自然科学基金资助项目(08KJB130002)
作者简介
谢友波（1984-），男，江苏宿迁人，研究方向：分析力学。
