Section 11.11: Exploring Many Steps in Infinite and Finite Wells

Please wait for the animation to completely load.
Shown is an infinite square well with L = 2 (from x = −1 to x = 1) to which you can add five potential energy steps:
V1  V2  V3  V4  V5 
1< x < 0.6  0.6< x < 0.2  0.2 < x < 0.2  0.2< x < 0.6  0.6 < x < 1 
by using one of the five sliders to change the size of this addition. To see the other bound states, simply clickdrag in the energy level diagram on the left to select a level. The selected level will turn red. For the animation we have set: ħ = 2m = 1. Given the following values for the potential energies,
V1  V2  V3  V4  V5 
150  0  150  0  150 
150  0  150  0  150 
what happens to the energy eigenfunction for small n and for large n? What happens to the energy spectrum? Once you have completed this exercise, explore Animation 2 which allows you to do something similar in a finite well.