Quantum Mechanics Help. Compton Scattering Use.

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SUMMARY

The discussion focuses on a Compton scattering experiment where a photon is scattered at an angle of 90.0 degrees, and an electron is scattered at 21.4 degrees. The key equations utilized include the conservation of momentum and energy, specifically the relationships p = h/λ and E = hc/λ. The Compton wavelength is identified as 2.43 x 10^-12 m, but the user struggles with applying energy conservation principles in the context of relativistic equations.

PREREQUISITES
  • Understanding of Compton scattering and its implications in quantum mechanics.
  • Familiarity with the conservation of momentum and energy principles.
  • Knowledge of the equations p = h/λ and E = hc/λ.
  • Basic grasp of relativistic energy-momentum relationships.
NEXT STEPS
  • Study the derivation of the Compton wavelength and its significance in quantum mechanics.
  • Learn how to apply the relativistic energy-momentum equation in particle interactions.
  • Explore examples of Compton scattering problems to solidify understanding.
  • Investigate the implications of scattering angles on photon and electron energy calculations.
USEFUL FOR

Students and educators in physics, particularly those focusing on quantum mechanics and particle physics, as well as researchers interested in Compton scattering phenomena.

Billy12
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Homework Statement


In a Compton scattering experiment, a photon is scattered through an angle of 90.0deg, and the electron is scattered through an angle of 21.4deg. Determine the wavelength of the scattered photon


Homework Equations


Conservation of momentum and energy. p = h/lambda, E = hc/lambda


The Attempt at a Solution


Since the angle of scattering is 90.0 deg for the photon the compton wavelength would just be 2.43*10^-12. I know that the momentum is conserved in both directions (x and y) and i got two equations for it but I don't know what to do for energy conservation. What do we use for energy?
 
Last edited:
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Energy and momentum are linked through the relativistic energy-momentum equation.
 
I solved it without the relativistic equations.
 

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