A photon and electron collision

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SUMMARY

The discussion centers on the collision between a photon and an electron, specifically analyzing the frequency of a back-scattered photon when the electron is initially at rest. The key conclusion is that, despite the photon having no rest mass and always traveling at the speed of light, the frequency of the photon before and after the collision is not necessarily the same. The confusion arises from the assumption that the frequency remains constant, which is incorrect in the context of Compton scattering.

PREREQUISITES
  • Understanding of photon and electron properties
  • Familiarity with Compton scattering principles
  • Knowledge of frequency and wavelength relationships
  • Basic concepts of relativistic physics
NEXT STEPS
  • Study Compton scattering and its implications on photon frequency changes
  • Learn about the conservation of energy and momentum in particle collisions
  • Explore the relationship between frequency, wavelength, and energy in photons
  • Investigate the effects of relativistic speeds on particle interactions
USEFUL FOR

Physics students, educators, and anyone interested in quantum mechanics and particle physics, particularly those studying photon-electron interactions.

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Homework Statement


Consider a photon colliding with an electron and scattered directly backward. If the electron is initially at rest and the incident photon has frequency f, determine the frequency of the back-scattered photon


Homework Equations



The Attempt at a Solution


Since the photon has no rest mass, then it should always move in speed of light. Therefore the frequency before and after the collision must be the same.
 
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So red light and blue light, both of which travel with speed ##c##, have the same frequency and wavelength?
 

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