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Published online by Cambridge University Press: 01 October 2004
Quantum effects in spontaneous and stimulated Compton laser-beam interactions are considered in the frame of the Klein–Gordon theory. We derive a quantum kinetic equation to describe the laser cooling of electron beams. Nonlinear theory of coherent π-pulse generation in the quantum X-ray Compton FEL is presented. A scheme of coherent stimulated annihilation of electron-positron pairs and stimulated emission of γ-ray photons is proposed.