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    Relativistic Compton Scattering Calculation

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    Please see attached picture. Note that the formula for Compton scattering is wrong.

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    A condensed version of the solution is provided below. See attachment for equations.

    The current density vector J is defined as the change in charge per unit area per unit time.
    So, if we integrate the current density over a surface S, we get the change in charge per unit time on that surface - the current flowing through the surface.
    We write it as:
    Now assume we have a ...

    Solution Summary

    The solution shows in detail how to obtain the energy of the electron after the collision, determine if it is relativistic and shows how to calculate its velocity in this case. The solution then goes on and show that relativistic momentum is conserved.