Newtonian Solution to Compton Scattering

1. Feb 21, 2007

Partyzan

1. The problem statement, all variables and given/known data
I need to derive the Compton scattering formula using Newtonian mechanics, I have it done in relativistic mechanics but cant get the Newtonian version.

2. Relevant equations
the solution to the relativistic equation is

1=mc^2(1/E2-1/E1)+cos(theta)

for newtonian mechanics:

1=mc^2(1/E2-1/E1)+cos(theta)-(E1-E2)^2/2E1E2

3. The attempt at a solution
i have no idea where to get started for the newtonian solution

2. Feb 21, 2007

Partyzan

i have the relativistic solution, but if i could just get pointed in the right direction for the newtonian solution, that would be amazing.