Can you please clarify just a bit on the difference between Compton and Thomson scattering in relation to photons interacting with plasma?
I've been trying some of the maths myself; and I've been simply using special relativistic dynamics where a photon interacts with a free electron, to exchange momentum and energy.
I gather that Compton scattering is a high energy case and Thomson scattering a low energy case. Can you expand on this a bit?