基于计算软件对一些常见的无限深势阱进行了可视化研究，并设计了GUI 界面实现对势阱的选择.在选定势阱后，

设置好相应的势阱参数和量子数，便可依次绘制出低维势阱的波函数、概率密度函数和三维势阱中的电子云图像.文中分析了

二维和三维势阱中能级的简并度问题，并重点讨论了不同势阱波函数和概率密度函数随量子数的变化规律.将势阱问题可视

化可以方便分析不同条件下波函数的物理图像，有助于量子力学课程中的教师教学与学生学习.

With a computation software，many common in finite potential wells are visualized，and a corresponding

GUI interface is designed to select different potential wells.After a potential well is selected and the corresponding potential

well parameters and quantum numbers are set，the wave function，probability density function of low dimensionalgrangian function of any system with finite degrees of freedom and the constraints are provided，the approximate solution

can be found. And this simple method can be applied to the approximate calculation of the bicycle system to

analyze the motion and stability of the bicycle.