Problem 11.4

Energy Eigenfunction Probability Density

Please wait for the animation to completely load.

Shown is the time-independent energy eigenfunction for a particle in a finite-ranged periodic potential energy function (a series of finite square potential energy wells).  You may change the state by click-dragging on the energy-level diagram on the left.  You may view the energy eigenfunction or the probability density.  In the animation, ħ = 2m =1.

  1. How many finite potential energy wells are there?

  2. Why?