PHY532 Problem Set 4. Due April 19, 2001

- 1.
- Jackson 7.24. You should assume that
(0)1 and that
() goes to 1 at high frequencies. One way to attack
parts a and b is to remember that the difference in the number of
zeroes and poles of a function
*f*(*z*) analytic except for simple poles inside a contour is given by the integral around the contour of*dz*.(1) *f*(*z*) where it has simple poles

ln[ *a*(*z*-*z*_{0})]= ln[ *a*(*z*-*z*_{0})^{- 1}]= - . (2) *f*(*z*) takes on any particular value inside a contour. - 2.
- Jackson 8.2
- 3.
- Jackson 8.4
- 4.
- Jackson 8.6
- 5.
- Jackson 8.19