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Problem 12.5: Describe the effect of the added potential energy function
Please wait for the animation to completely load.
The animation shows a finite square well where a potential energy function can be added. Using the slider the bottom of the finite well can be made to vary from ∨ shaped to ∧ shaped. 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. Restart.
Before looking at the animation:
- Draw the first few energy eigenfunctions for the finite well with a ∨-shaped bottom.
- Draw the first few energy eigenfunctions for the finite well with a ∧-shaped bottom.
- Once you have drawn your energy eigenfunctions, use the animation to check your results. Describe in words why the energy eigenfunctions behave the way they do.