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Originally Posted by lyndonashmore
In the meantime, whilst you are sitting in the Library, get hold of a copy of "Quantum Electrodynamics" R. P. Feynman, Advanced books classics, perseus books reading, Mass. 1991, 1998 and turn to page 96.
Here you will find your Compton effect. The momenta of photon and electron are shown as p and q.
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Fig 19 -2 (a) the initial electron enters with amplitude u_1; (b) the electron is first scattered by a potential (i.e. absorbs a photon); (c) having received momentum q from the potential the electron travels as a free electron with momentum p + q (d) the electron emits a photon of polarization e_2
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Didn't you show that this was impossible? |
For real particles this is impossible, though for a virtual particle this can happen. You can also look up Mandl and Shaw (Quantum Field Theory, p 153) and see that the momentum and energy of the incoming and outgoing states are conserved, and that the energy loss due to recoil for the photon is zero for the case that you have been talking about. If you are able to show, using QED, how your case works, you're more than welcome to give it a go.