QM PS#1 (Townsend): 1.8, 1.9, 1.10, 1.11, 1.12, 1.13, 1.14, 1.15

Notes:

• You need the results of Problem 1.10 for 1.11 and 1.12. You can check your results for <S_z> and <S_y> as directed in the problem statement. You should find that <S_x> = 0.
• Problems 1.4, 1.5, 1.6, and 1.7 will be assigned as part of QM PS#2, so after completing this week’s set, you may choose to begin on those problems. We will complete Problem 1.3 together during class on Thu. Jan. 10; Problems 1.4-1.7 are based on Problem 1.3.