Compton Scattering EquationIn his explanation of the Compton scattering experiment, Arthur Compton treated the xray 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:

Index References: Compton Blatt Sec 4.6  

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