Unified Theory of Above Threshold Ionization, Multi-Harmonic Radiation and Radiative Electron Scattering in Strong Laser Fields
A stationary quantum theory of ATI-amplitude, multi-harmonic radiation (MHR)-amplitude, and radiative scattering amplitude is developed using a unifying quantum resolvent (Green’s function) method. Relation between the many-atom and one-atom aspects of MHR-spectra and the latter’s dependence on the physical (on-shell) and off-shell ATI-amplitude are illucidated. Exact analytical solutions of the ATI-, MHR- and radiative scattering amplitudes are given for a general separable potential of arbitrary rank plus a laser field. They permit one to obtain variationally stable solution of the 3D-Schrödinger problem associated with them. Finally, a general solution of the problem of constructing asymptotically correctly velocity correlated N-electron wavefunction in the Coulomb continua is given. This provides a set of asymptotically suitable final states appropriate for multiple ionization of atoms (and ions) in a laser field, or related problems.
KeywordsCircular Polarization Laser Field Multiple Ionization Arbitrary Rank Coulomb Wave Function
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