Compton Effect: Understand Maths & Photon Production

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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
 
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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 Nσtot.

σtot = about 0.66 x 10-24 cm2. 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
 
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thnx Bob
 
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