On the Contribution of the Long-Range Scattering Potential in the Process of Multiphoton Above-Threshold Ionization of Atoms in the Laser Field

Using the quantum mechanical analysis of stimulated bremsstrahlung of an electron on an electrostatic potential in the field of a strong electromagnetic wave in the generalized eikonal approximation, the simplified formula for the probability of multiphoton above-threshold ionization of a hydrogen-like atom in the laser field is obtained, taking into account the interaction of the photoelectron with the long-range Coulomb field of the residual ion.