费米子系统的交换对称性

The Exchange Symmetry of Fermi Particles System

借助于群表示论这一数学工具来研究费米子系统的对称性。在理论处理中,首先将某一对称群的表示按它的某个类算符的本征空间进行分解,使该对称群的表示空间得到约化,用该类算符的本征函数及杨氏盘的标记来揭示费米子系统的交换对称性。

This paper studies the symmetry of Fermi particles system by means of the mathematical method on the theory of group repersentations. On theoretical treating , the representation of the symmetry group is resolved according to the eigenspace of one class operator firstiy. The representation space of the symmetry group is thus reduced. The exchange symmetry of Fermi particles system is revealed by msking use of the eigenfunetion of the class operator and mark of Young's tableau.