本文从量子力学中三维线性谐振子在直角坐标和球坐标系下的波函数出发，采用蒙特卡罗方法对空间概率函数进行了抽样，并采用Mathmatica软件对不同坐标系下谐振子运动的概率云图像进行了可视化呈现，进一步结合可视化图像对两种坐标系下不同量子数分解方式下得到的系统量子性运动特征进行了详细的对比研究，并从量子力学理论角度分析了对应的物理意义.

Based on the wave functions of three-dimensional quantum linear harmonic oscillator in the Descartes and spherical coordinates, we make the sampling by Monte Carlo method through the spatial probability density function. The spatial probability cloud of the particle is visualized by Mathematica software in different coordinate systems. Further comparison and analyzation of the visualization pictures of the system from different decompositions of the quantum numbers in two coordinate systems are carried out. And the physical meaning is illustrated from the theoretical point of view of quantum mechanics.