Physlet Quantum Physics by Belloni, Christian, and Cox: Problem 11.1

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 11.1: Characterize the finite wells by width and depth

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The energy spectrum of a set of 9 finite square wells is shown. In the animation, ħ = 2m = 1. 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. By using the energy level diagram, categorize each of the finite wells according to its depth (shallow, moderate, or deep) and width (narrow, moderate, or wide). NOTE: there are 9 depth-width combinations. Use each pair of descriptors (for example: shallow and wide) once. Restart.

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