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1. Although most quantum wells have a flat bottom, other profiles can be grown. Three examples are shown in Figure 7.13. How would you expect the quantum-confined Stark effect to be changed in these systems? In particular, would the change in energy still be quadratic in the strength of the field?
2. What happens to the energy of the second state in an infinitely deep well when an electric field is applied?
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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