Compton Effect: Understand Maths & Photon Production

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    Compton effect
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Discussion Overview

The discussion centers around the Compton Effect, specifically focusing on the mathematics involved and the production of new photons during the scattering process. Participants explore the relationship between Compton scattering and concepts from quantum electrodynamics, as well as comparisons to classical physics phenomena.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant expresses understanding of the mathematics of the Compton Effect but seeks clarification on the production of new photons, questioning if it is similar to refraction in solid-state physics.
  • Another participant notes that Compton scattering is a standard example in quantum electrodynamics textbooks, suggesting the need for updated references.
  • A third participant describes the kinematics of Compton scattering, comparing it to classical elastic scattering, emphasizing conservation of energy and momentum, and providing specific cross-section values.
  • Links to external resources are shared for further reading on Compton and Thomson scattering.

Areas of Agreement / Disagreement

Participants present various viewpoints and information, but there is no consensus on the specific nature of photon production or its comparison to refraction. The discussion remains unresolved regarding these points.

Contextual Notes

Some limitations include the potential dependence on definitions of terms like "refraction" and "scattering," as well as the need for clarity on the mathematical steps involved in the Compton Effect.

darkxponent
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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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