Abstract:

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.

Key words:  , analytical mechanics, non-complete system, stability of the bicycle