Homework #1
Problem #7.44 (Use the suggested new variables to transform 7.140 into
the simpler form. ONLY do part c which you will need for 7.58. And yes
there is a sign error in the text!), 7.58.
Homework #2
Problem #7.93, Derive the connections formulas 7.189a, 7.189b.
Homework #3
Problem #7.62, 7.63, 7.64, 7.66
Homework #4
Show that the propagator (eq. 7.216) evaluated only on the classical path
for a free particle gives the exact result (eq. 6.52).
Hints:
a) Parameterize the classical path x_cl(t") in terms of x,t,x',t' and
t".
b) To determine the normalization, use the fact that the propagator must
approach a delta function as t approaches t'.
c) Then think about an appropriate delta function representation.
Problems#11.1 and 7.86
Homework #5
Problem #11.6, 11.7, 11.8, 11.10, 11.11, 11.12, 11.13, 11.14,
11.23, 11.31, 11.33, 11.34
Homework #6
Problem #11.38,11.39,11.75,11.76,11.45, 11.48, 11.51
Look at and think about #11.46, 11.49, 11.50
Homework #7
Problem #11.55 (show your work), 11.57, 11.58
Homework #8
Problem #13.3, 13.7, 13.9, 13.10, 13.11
Homework #9
Problem #13.12, 13.17, 13.19
Homework #10a
Problem #9.34, 9.35, 11.59, 11.60, 12.1(b only)
Homework #10b
Problem # 12.5, 12.12, 12.13, 12.16, 12.17
Homework #11
Problem #12.20, 13.6(What happens if we include spin?), 13.27, 13.28,
13.33