## Section 11.10: Exploring Wells with an Added Symmetric Potential

*Please wait for the animation to completely load.*

Shown are both an infinite and a finite square well with *L* = 2 (from
*x* = −1 to *x* = 1) to which you can add a symmetric potential energy barrier or
well from from *x* = −0.5 to *x* = 0.5. Use the slider 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* = 2*m* = 1. Answer the following for both the infinite and finite well:

- Make the step
*V* = −200. What happens to the energy eigenfunction for
small *n* and large *n*? What happens to the energy spectrum?
- Make the step
*V* = −100. What happens to the energy eigenfunction for
small *n* and large *n*? What happens to the energy spectrum?
- Make the step
*V* = 100. What happens to the energy eigenfunction for
small *n* and large *n*? What happens to the energy spectrum?
- Make the step
*V* = 200. What happens to the energy eigenfunction for
small *n* and large *n*? What happens to the energy spectrum?