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物理学报  2002 

Appell equations and form invariance of rotational relativistic systems
转动相对论系统的Appell方程及其形式不变性

Keywords: rotational relativistic system,Appell equation,form invariance,symmetry and conserved quantity
转动相对论
,Appell方程,形式不变性,对称性与守恒量

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Abstract:

The Appell equations of rotational relativistic systems are given.Four new basic dynamical functions of relativistic mechanics are discussed.Under infinitesimal transformations,a form invariance in the Appell equations of rotational relativistic systems is studied,and the definition and criteria are given.The relations among the form invariance,the Noether symmetries and the Lie symmetries are studied,and the conserved quantities of rotational relativistic systems are obtained.

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