Consider a photon that scatters off an electron. In the case of
an electron which is not at rest, but rather which has a kinetic
energy, E_e much larger than the photon energy. Find an expression
for the photon energy after the interaction. To do this most
simply, make a frame transformation to a frame where the electron
is at rest, calculate the scattering , and then transform back to
the original reference frame. For this problem, you may wish...