Abstract
We consider the question whether quantum effects associated with the electron recoil on the field quantization have an significant effect on the FEL operation in the x‐ray regime. We consider the gain formulae, spontaneous emission and electron multirecoil effect due to spontaneous multiphoton emission. It is concluded that quantum effects are usually negligible in the x‐ray regime above 1A wavelength. They only may be detectable in a stimulated Compton FEL if high enough gain could ever be realized.
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