Physlet Quantum Physics by Belloni, Christian, and Cox: Problem 11.4

11.1: Characterize the finite wells by width and depth
11.2: Determine the number of bound states from the transcendental equations
11.3: Determine the energy bands and gaps for a periodic potential
11.4: Determine the number of finite wells
11.5: Determine the unknown addition to these finite wells
11.6: Determining the properties of half wells

Problem 11.4: Determine the number of finite wells

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.

How many finite potential energy wells are there?
Why?

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