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The Taylor group is an exception to comments about ad hoc or two-step approaches. They have systematically pursued exact numerical solutions to the time-dependent Schrödinger equation for helium in strong laser fields. See J.S. Parker et al., J. Phys. B 36, L393 (2003), and references therein. However, to the present time the numerical challenges are so great that the helium results cannot be extended to other atoms being studied experimentally.
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