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Consider the case of an electron which is not at rest, but rather which has a...

Consider the case of an electron which is not at rest, but rather which has a kinetic energy, E_e much larger than the photon energy. Find an expression for the photon energy after the interaction. To do this most simply, make a frame transformation to a frame where the electron is at rest, calculate the scattering as above, and then transform back to the original reference frame. For this problem, you may wish to work in terms of the wavelength of the photon, rather than its energy. You will find that this converts to a simple wavelength shift.

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