Newtonian Solution to Compton Scattering

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SUMMARY

The discussion focuses on deriving the Compton scattering formula using Newtonian mechanics. The participant has successfully derived the relativistic version but struggles with the Newtonian approach. The key equation for the Newtonian solution is presented as 1=mc^2(1/E2-1/E1)+cos(theta)-(E1-E2)^2/2E1E2. This highlights the differences in energy considerations between relativistic and Newtonian frameworks.

PREREQUISITES
  • Understanding of Compton scattering principles
  • Familiarity with Newtonian mechanics
  • Knowledge of energy conservation in collisions
  • Basic grasp of trigonometric functions in physics
NEXT STEPS
  • Study the derivation of the Compton scattering formula in Newtonian mechanics
  • Explore energy conservation principles in elastic collisions
  • Review the differences between relativistic and classical mechanics
  • Investigate the implications of using approximations in physics equations
USEFUL FOR

Physics students, educators, and researchers interested in classical mechanics applications, particularly those focusing on scattering phenomena and energy conservation principles.

Partyzan
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Homework Statement


I need to derive the Compton scattering formula using Newtonian mechanics, I have it done in relativistic mechanics but can't get the Newtonian version.


Homework Equations


the solution to the relativistic equation is

1=mc^2(1/E2-1/E1)+cos(theta)

for Newtonian mechanics:

1=mc^2(1/E2-1/E1)+cos(theta)-(E1-E2)^2/2E1E2


The Attempt at a Solution


i have no idea where to get started for the Newtonian solution
 
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i have the relativistic solution, but if i could just get pointed in the right direction for the Newtonian solution, that would be amazing.
 

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