# 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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##### 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.

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The solution is attached below in two files. the files are identical in content, only differ in format. The first is in MS Word format, while the other is in Adobe pdf format. Therefore you can choose the format that is most suitable to you.

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:

(1.1)

Now assume we have a ...

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