Section 11.9: Exploring Asymmetric Infinite Square Wells

Please wait for the animation to completely load.

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?