Abstract
After the classical approach to acceleration of a charged particle by the δ-form impulsive force, we consider the corresponding quantum theory based on the Volkov solution of the Dirac equation. We determine the modified Compton formula for frequency of photons generated by the scattering of the δ-form laser pulse on the electron in a rest. The article follows the physical ideas involved in the author text with the title Electron in an Ultrashort Laser Pulse (Pardy, 2003).
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