Homework #8  (due 4/8/08)

8.1. (a) Reproduce Fig. 6.8 of Merz. P. 109 using the same parameters in that figure.

(b) From Merz. P.110, show that the phase shift is indeed given by eq. (6.64).

(c) Plot the phase shift as a function of energy, make sure that the phase shift is continuous.

(d)  Calculate  and show that you can get Fig. 6.9 of Merz.

Note: Compare (a) and (d) you note that (i)  the resonances occur at the same positions, (2) Near the resonances, the phase shift changes rapidly.

8.2. Problem 3 of Merz. On page 111.