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I know free electrons interact with multiple photons,But there should be a limit.What is the limit and why it interacts with that many photons,What factor decides the interaction between an photon and an free electron?.

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  • $\begingroup$ "I know free electrons interact with multiple photons " do you mean with virtual photons? Virtual photons are under an integration continuum and in principle are infinite in number. for real photons an electron has to interact, i.e. pickup or give energy , and "multiple" is given by the quantum mechanical probability distribution for brehmsstrahlung or synchrotron radiation $\endgroup$ – anna v Jun 24 '18 at 9:34
  • $\begingroup$ Not virtual photons.Suppose two similar photons simultaneously incident on a electron,does the electron interact with both photons simultaneously or with only one electron?. $\endgroup$ – Anns Jun 24 '18 at 10:13
  • $\begingroup$ within the metal the photons are virtual, as well as the fermi sea electrons. A real free electron can interact with two photons , there will be a Feynman diagram, but the delta(t) between the two photon -electron vertices will be again within a integration, the "instant" has no meaning, because vertices do not overlap mathematically, in the integral. The order also has no meaning because there will be two diagrams . $\endgroup$ – anna v Jun 24 '18 at 10:36
  • $\begingroup$ You can only say that one ore more photons interact with a many-electron state. $\endgroup$ – my2cts Jun 24 '18 at 10:46

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