二维各向异性谐振子能级简并与对称性关系

The Relation between Two-dimension Anisotropic Harmonic Oscillator Degeneracy and Symmetry

从二维各向同性谐振子的能级简并情况出发,利用群论方法得到了能级简并与对称性及守恒量之间的关系,类比经典守恒量保证粒子轨道的闭合性,讨论了二维各向异性谐振子的能级简并。

Compared to the situation of isotropic harmonic oscillator in two-dimension,the relation among the degeneracy of energy levels,the symmetry and conservation quantities have been obtained by using the group theory,which was similar to that the classical conservation quantities could ensure the close of particles＇ orbits.And the degeneracy of energy level for the anisotropic harmonic oscillator in two-dimension was investigated systemically.