Klein Nishina Formula: History, Importance & Proving

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SUMMARY

The Klein–Nishina formula, derived in 1928 by Oskar Klein and Yoshio Nishina, is crucial for accurately calculating gamma ray transport and represents a significant advancement in quantum electrodynamics. The formula addresses the scattering of radiation from target electrons by incorporating relativistic and quantum mechanical effects. Key resources for understanding its derivation include Greiner's "Quantum Electrodynamics" and Feynman's lectures on the subject, as well as Bjorken & Drell's "Relativistic Quantum Fields." These texts provide comprehensive treatments of the formula, although many details are often left as exercises for students.

PREREQUISITES
  • Understanding of quantum electrodynamics (QED)
  • Familiarity with relativistic physics concepts
  • Mathematical proficiency in advanced calculus and linear algebra
  • Knowledge of particle physics and scattering theory
NEXT STEPS
  • Study the derivation of the Klein–Nishina formula in Greiner's "Quantum Electrodynamics"
  • Explore Feynman's lectures on quantum electrodynamics for practical applications
  • Review Bjorken & Drell's "Relativistic Quantum Fields" for exercises related to the formula
  • Investigate online resources such as the document at http://web.phys.ntnu.no/~mika/qft1h.pdf for additional insights
USEFUL FOR

This discussion is beneficial for physicists, graduate students in quantum mechanics, and researchers focusing on quantum electrodynamics and gamma ray transport calculations.

M. next
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What is its importance? Where there any publications to prove exactly the formulation of Klein Nishina formula of Compton Effect? Why is it that complicated to prove..
 
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The Klein–Nishina formula was derived in 1928 by Oskar Klein and Yoshio Nishina, and was one of the first results obtained from the study of quantum electrodynamics. Consideration of relativistic and quantum mechanical effects allowed development of an accurate equation for the scattering of radiation from a target electron.

Above from Wikipedia.

It is important in order to calculate gamma ray transport correctly.
 
Thank you, but I would have liked to know more about its derivation. I found no online resources that show all the mathematical elaboration. Is there any book perhaps that has the full derivation. If not, then why such derivations can not be sought easily?
 
Did you look at http://web.phys.ntnu.no/~mika/qft1h.pdf? Sect 5.3.1 gives a rather thorough treatment.
 
Is there any book perhaps that has the full derivation.
greiner book on quantum electrodynamics contain full derivation.Also it is treated in feynman's quantum electrodynamics.
 
I remember seeing/doing the derivation in my grad school QED course which used Bjorken & Drell's texbook, probably "Relativistic Quantum Fields".

At that level, some or most of the details are often left to the student as exercises. :wink:
 
Thank you a lot for your suggestions and shared experiences!
 
One more thing. What prerequisites should we have in order to prove this (Physics and Mathematics)?
 

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