Thanks, It definitely is. I actually have already looked at those notes, although now that I'm looking at them again, I realized I was making some errors earlier, but even after correcting those and ignoring the ##\delta n## part of n, I still have a few problems.
Using the relations between...
I appreciate the reply, but I still have a few issues. ##\epsilon_0## is not involved, so I can't express my answer in terms of ##\omega_p##. Also, your solution would still result in ##\alpha_{\pm}## being tensors, while the problem requires them to be constants. Also, would your ##\alpha## be...
First, assuming, ##v \alpha e^{i(k{\pm}z - \omega t)}## I worked with the equation of motion to get:
##-i\omega v_x = -\frac{e}{m}E_x - \omega_c v_y## and ##-i\omega v_y = -\frac{e}{m}E_y + \omega_c v_x##
Solving this system of equations, I end up with:
##v_x = \frac{-e}{m(\omega^2 -...