Slide 17 of 48
Notes:
This effect of cooling the radiation (ie because it loses energy) and transferring the energy to the electron is sometimes called the recoil effect.
For very high energy electrons, the proper quantum relativistic cross-section for scattering must be used, rather than the classical Thomson cross-section.
Also, if the electron is moving ultrarelativistically, the quantum relativistic cross-section must be used and this is given by the Klein-Nishina formula.
Compton scattering has the effect of broadening spectral lines and washing out edges.
