Abstract

A nonrelativistic quantum approach is adopted to describe the scattering of an intense laser beam from a simple atomic system. Two forms of the corresponding transition amplitude (TA) are derived, one involving the kinetic momentum operator of the electron and the other involving the force operator. The spectral and angular distribution of the scattered radiation is expressed in terms of TA by a relation recalling the classical one. The formalism is applied to the scattering of radiation by an electron (free or bound) with the absorption of two photons from the incident laser beam. Analytic and numeric results are presented for the distributions of the emitted photons in the case of the nonlinear Compton scattering from a hydrogenic atom in the ground state.

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