Three-dimensional relativistic model of a bound particle in an intense laser field

Abstract
We analyze a three-dimensional model of a Klein-Gordon particle in a short-range separable potential and interacting with an intense plane-wave electromagnetic field. In the specific case of the circular polarization of the radiation, we find an exact solution of the Klein-Gordon equation of the system and derive analytic expressions for obtaining the total and partial rates of particle ejection by N-photon absorption, the energy spectrum of the ejected particle, as well as the amplitudes for stimulated bremsstrahlung and its inverse.