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Shown is an infinite square well with L = 6 (from x = −3 to x = 3) which you can make into an asymmetric infinite square well (AISW).  Consider Region I to be from x = −3 to x = 0 and Region II to be from x = 0 to x = 3.  This AISW has a constant potential energy over the right half of the well (Region II) that you control with the slider. 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.   Restart.  Answer the following:

1. Make the step V = 0.  Describe the wave function. Describe the energy spectrum.
2. Make the step V = 1. What happens to the energy eigenfunction in each region?  What happens to the energy spectrum?  What happens for large n?
3. Make the step V = 10. What happens to the energy eigenfunction in each region?  What happens to the energy spectrum?  What happens for large n?
4. Make the step V = 50. What happens to the energy eigenfunction in each region?  What happens to the energy spectrum?  What happens for small n?