Abstract
odinger equation and the Green’s function for an electron moving in an arbitrary electromagnetic wave and crossed constant electric and magnetic fields are obtained. The exact expressions are found for the level shift and width of the electron in a zero-range force field, a constant magnetic field, and a monochromatic electromagnetic field. In the case of ionization of neutral atoms and positive ions, we also take into consideration the Coulomb interaction of the emerging electron with the atomic or ionic core. The first-order contributions from the Stark and Zeeman effects to the ionization rate are taken into account as well. The paper generalizes the results earlier obtained by V. M. Rylyuk and J. Ortner [ Phys. Rev. A67, 013414 (2003)].
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