You 1) [10 points] Compton scattering. You might recall that when a photon scatters off a...

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You 1) [10 points] Compton scattering. You might recall that when a photon scatters off a free electron, its wavelength is shifted. Derive the Compton formula. The invariants s, t and u from last week are quite useful. are working in a frame where the photon comes in along the z direction, so P1 = (E, 0, 0, E/c), the electron has p2 = (mc2, 0, 0, 0) and the outgoing photon = (E', 0, (E'/c) sin 0, (E'/c) cos 0). Recall the relation between photon en- ergy and wavelength, E = hc/\. I think I have the c's right in the momenta, but I put them in by hand at the end. is P3 = You 1) [10 points] Compton scattering. You might recall that when a photon scatters off a free electron, its wavelength is shifted. Derive the Compton formula. The invariants s, t and u from last week are quite useful. are working in a frame where the photon comes in along the z direction, so P1 = (E, 0, 0, E/c), the electron has p2 = (mc2, 0, 0, 0) and the outgoing photon = (E', 0, (E'/c) sin 0, (E'/c) cos 0). Recall the relation between photon en- ergy and wavelength, E = hc/\. I think I have the c's right in the momenta, but I put them in by hand at the end. is P3 =