三维各向同性谐振子的对称守恒张量与欧勒角

The Symmetry Conservation Tensor and Euler Angles of the Isotropic Three-dimensional Harmonic Oscillator

三维各向同性谐振子有一对称的守恒张量，由守桓张量可直接求得振子的特征能量和轨道长短轴的长度，确定轨道长短轴方向及轨道平面法线方向的三欧勒角，可由守桓张量的分量及机械能、角动量决定．

There is a symmetry conservation tensor for the isotropie three - dimensional harmonic oscillator.By using the symmetry conservation tensor,the characteristic energy and the length of major and minor axis for elliptis orbit can be obtained.The Euler Angles that describe the position of the major axis,minor axis and the normal line of the orbit can be determined by conservation tensor's component and mechanical energy and angular momentum.