Physlet Quantum Physics by Belloni, Christian, and Cox: Problem 11.2

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 11.2: Determine the number of bound states from the transcendental equations

Please wait for the animation to completely load.

Shown in the graph is the transcendental equation describing the bound-state energy levels of finite square well. The red curve represents one side of the equation and the black curve represents the other side of the equation. Restart. In the animation, ħ = 2m =1.

How many bound states are there?
What are the bound state energies for the system represented by the transcendental equation?

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