Phys 200C – HW3

Due Monday 18-Apr-05 noon to Daniel Cebra’s Mailbox (Graded by: Tae Seong Jeong)

3-1. If n is a unit three vector in the direction of propagation of an electro-magnetic wave, then according to classical electromagnetism, . Show that this statement is also invariant under Lorentz transformation by showing its equivalence to the manifestly Lorentz invariant statement , where is the four-vector oriented in the direction of propagation of the wave and is the field strength tensor.

3-2. Problem 11.14 in Jackson.