474 Introduction to Quantum PhysicsP40.28(a)Thanks to Compton we have four equations in the unknowns φ, v, and ′λ:hchcmceeλλγ022=′+−(energy conservation)hhmveφγ02=′+coscos(momentum in xdirection)02=′−hesinsin(momentum in ydirection)′−=−012hecosbg(Compton equation).Using sinsin cosφφ=in Equation  gives he=′2cos .Substituting this into Equation  and using coscos12=−yieldshh0221241=′−+′=′−coscoscosej,or′=−4020cos.Substituting the last result into the Compton equation gives4212121020222λφcoscoscos−=−−=−hhceeej.With the substitution 00=hcE, this reduces tocos22020212=++=++EExxeewhere xEe≡02.For x==0700137..MeV0.511 MeV, this gives =++=°−cos.11233 0xx.FIG. P40.28(a)(b)From Equation , −=
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This note was uploaded on 12/14/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .