Problem Sets to be completed in your corresponding PSNs by noon Sun. Feb. 26.

• EM PS#6: Griffiths: 4.11&4.17, 4.12, 4.15, 4.16(a), 4.20, 4.21, 4.33, 4.34, 4.35
• LA PS#6: Lay 5.5: 4&6, 8&12, 23, 24
• QM PS#3: Townsend: 3.8, 3.13, 3.15, 3.16, 3.17, 3.18, 3.20, 3.22, 3.24, 3.25

• EM notes: For 4.12, note that since the polarization is uniform, the P and dot product can be pulled out in front of the integral; the integral is now a modified version of an integral you carried out in the collected set of problem 2.7, problem 2.8, Example 2.3 and problem 2.12. For 4.34, you’ll get to show that the information in the problem statement means that the dielectric constant is given by 1+ x/d. For 4.35, you’ll get to use the Dirac delta function.
• LA notes: Lay uses the overbar to mean complex conjugate (recall that Townsend uses *), such that A = A*. For 4 and 6, follow the approach outlined in Example 2. For 8 and 12, use Example 6 (as directed). Problems 23 and 24 are related to what you did for the last problem on LA/QM Exam 1; some of you might be interested in seeing what happens if you replace the condition that A is an n x n real matrix with the property A^T = A with the condition that A is an n x n complex matrix with the property that A^T = A (in other words, A is Hermitian), in which case this might become an alternative proof that the eigenvalues of a Hermitian matrix operator are real.
• QM notes: Problem 3.8 should be straightforward. For 3.24, choose the simplest N (e.g. with phase = 0). I plan to go over 3.2, 3.9, 3.10, 3.11, 3.12, 3.14, parts of 3.15 and 3.18, and 3.21 in class, which should hopefully prepare you for the rest of the assignment.