相对论性转动变质量系统的Lie对称性与守恒量

LIE SYMMETRIES AND CONSERED QUANTITIES OF RELATIVISTIC ROTATIONAL VARIABLE MASS SYSTEM

给出相对论性转动变质量系统的d’Alembert原理和运动微分方程 .利用运动微分方程在无限小变换下的不变性 ,建立相对论性转动变质量系统的Lie对称确定方程 ,得到结构方程和守恒量 .

The d'Alembert principle and the differential equations of motion of relativistic rotational variable mass system are given. By using the-invariance of the differential equations under the infinitesimal transformations, the determining equations of the Lie symmetries of relativistic rotational variable mass system are built, and the structure equation and the conserved quantities of the Lie symmetries are obtained. An example is given to illustrate the application of the result.