1. Show that the polarizability of the lowest state in a quantum well tilted by an electric field, equation (7.38), can also be found by considering the change in wave functions and the resulting dipole moment -e(x).
2. Calculate the expected shift in the absorption lines seen in Figure 7.3. Use the approximation of infinitely deep wells and assume that the holes are either purely heavy or purely light. (The real wells have finite depth, which permits the electrons and holes to tunnel into the baiiiers, making the wave functions wider; this increases their polarizability, so the simplification should give too small a shift.)
