Section 7.5: 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 click-drag 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.

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