The theory of Compton scattering

This chapter deals with the theory of the double differential photon scattering cross-section in both non-relativistic and relativistic treatments. It shows how the Impulse Approximation leads to a cross-section interpretable in terms the ground state electron momentum density distribution, either directly through the Compton profile or in coordinate space though the reciprocal form factor. The nature of these derived quantities for atoms, molecules, and solids, including the treatment of electron-electron correlations is explained. The chapter also deals with spin-dependent scattering theory, and provides an introduction to the theory of the photon inelastic scattering cross section for all x-ray physicists.