ch38-p084 - 84. The difference between the electron-photon...

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where we note that φ = π (since the photon is scattered back in the direction of incidence). Now, from the Doppler shift formula (Eq. 38-25) the frequency f' 0 of the photon prior to the scattering in the new reference frame satisfies f c f ' ' , 0 0 0 1 1 == + λ β where = v / c . Also, as we switch back from the new reference frame to the original one after the scattering 11 . c ff −− + We solve the two Doppler-shift equations above for λ ' and λ ' 0 and substitute the results into the Compton shift formula for ∆λ ' : ∆λ '. = + + = 1 1 2 0 2 h mc e Some simple algebra then leads to Eh f h f h e + + F H G I K J 0 2 1 1 21 1 . 84. The difference between the electron-photon scattering process in this problem and the
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