Photon scattering with a moving electron

[wakko101]

Hello,

The problem I have is trying to derive a formula for the compton equation, but instead of having the electron at rest, it is moving in the same direction as the incident photon. I've tried deriving it in the same manner as deriving it for an electron at rest (ie. I've simply made the change that the initial momentum and energy of the electron is no longer 0, with electron initial and final energies being of the form E=sqrt(m^2c^4 + p^2c^2)), but it seems to me that doing so results in too many extra terms that don't cancel out.

Is there something I'm missing here?

Thanks,
W. =)

 

[genneth]

Best to do the calculation in the frame where the electron is initially at rest, so that you can use the Compton scattering formula. Then transform to the original frame. Or, if you're comfortable with the derivation of the Compton scattering formula, just do the usual transform to the zero-momentum frame where things are easy, then back out.

 

[botee]

Best to do the calculation in the frame where the electron is initially at rest, so that you can use the Compton scattering formula. Then transform to the original frame. Or, if you're comfortable with the derivation of the Compton scattering formula, just do the usual transform to the zero-momentum frame where things are easy, then back out.

Thanks for your post, I messed a lot with this problem trying to solve it in the rest-frame of earth.

 

[Narayanan.S]

Hi,
I think Thomson and Kleinn -Nishina scattering formulas appllies at lower and higher velocities respectively-see WIKI
Shankar