I can understand the whole mathematics in this effect. The thing that i could understand is the production of new photon. I mean how it is produced. Is it similar to refraction in solid state physics. Can anyone xplain
As I recall, Compton scattering is a standard example in textbooks on quantum electrdynamics (QED), at the level of Bjorken and Drell's "Relativistic Quantum Fields." But that's fairly old by now. Perhaps someone can suggest a newer reference.
The kinematics of Compton scattering is similar to classical elastic scattering in the sense that a photon scatters off a stationary electron, there is a recoil electron and a scattered photon. Both energy and momentum are conserved. See http://en.wikipedia.org/wiki/Compton_scattering The probability of a single photon Compton scattering off of one of N electrons in a box 1 cm on a side is Nσ_{tot}. σ_{tot} = about 0.66 x 10^{-24} cm^{2}. This called the classical total cross section (Thomson scattering).. Compton scattering is discussed in http://www.strw.leidenuniv.nl/~michiel/ismclass_files/radproc07/chapter7.pdf Thompson scattering is discussed in (see page 48) http://www.strw.leidenuniv.nl/~michiel/ismclass_files/radproc07/chapter4.pdf