Unformatted text preview: a) Calculate the frequency dependence of the re±ected Xray on the scattering angle. Draw a rough plot. b) Why is it ok to treat the electrons as free? c) How would the result change if the electron were massless? d) If you didn’t believe in quantized photon momenta, what kind of distribution would you have expected? (Stuck? Look at Compton’s paper on the isite) 5. Coherent states of the Simple Harmonic Oscillator a) Calculate ∂ z ( e − za † ae za † ) . b) Show that  z a = e za †  a is an eigenstate of a . What is its eigenvalue? c) Calculate A n  z a ? d) Show that these “coherent states” are minimally dispersive: Δ p Δ q = 1 2 , where Δ q 2 = A q 2 a−A q a 2 and Δ p 2 = A p 2 a−A p a 2 , where A q a = a z  q  z A a z  z A and A p a = a z  p  z A a z  z A . e) Why can’t you make an eigenstate of a † ? 1...
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 Electron, Center Of Mass, Energy, Mass, Special Relativity, Light, Fundamental physics concepts, Lorentz Invariance Review, Lorentz invariant. d3k, quantized photon momenta, reflected Xray momentum.

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