Question
see below - please note this is not 'compton scattering'
In Thomson scattering a photon with propagation vector ki and polarization is scattered by a free electron with initial momentum Pi. After the scattering process the electron has momentum Pf while the scattered photon has propagation vector kf and polarization . For convenience we can always transform to a frame where the initial momentum of the electron is pi = 0. In that frame, the nonrelativistic QED Hamiltonian can be used as long as , where m is the rest mass of the electron. We will assume this to be the case. Show classically from conservation of free energy and momentum that if pi = 0 then
Explanation / Answer
http://www.ira.inaf.it/~ddallaca/P-Rad_4.pdf
