# Compton Scattering Equation In his explanation of the Compton scattering experiment, Arthur Compton treated the x-ray photons as particles and applied conservation of energy and conservation of momentum to the collision of a photon with a stationary electron. Using the Planck relationship and the relativistic energy expression, conservation of energy takes the form Conservation of momentum requires where p=E/c is used for the photon momentum. Squaring this equation using the scalar product gives Again using the Planck relationship and the relativistic energy expression: The energy conservation expression above can be squared to give These two forms can be equated to give which can be rearranged to and finally to the standard Compton formula: Calculation Compton scattering experiment
Index

References:
Compton

Blatt
Sec 4.6

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