量子体系能级的简并度与对称性的关系

RELATIONS BETWEEN THE DEGENERACY OF THE ENERGY LEVEL IN A QUANTIZED SYSTEM AND THE SYMMETRY

本文用群表示论理论定量地阐述了量子体系能级的简并度与该体系的全对称性群的关系:即能级的简并度等于此群的不可约表示的维数。

In this paper relations between the degeneracy of the ene- rgy level in a quantized system and whole symmetry group of the system are quantitatively elaborated: The degeneracy of the energy level equas the dimension of the irreducible representation.