Abstract
When it comes to properties and phenomena involving field-free and field-induced nonstationaryN-electron states of atoms and molecules, the many-electron problem (MEP) manifests itself at levels of theoretical complexity and computational difficulty that are much higher than that which characterizes the extensively studied MEP for ground states. I outline how time-independent and time-dependent state-and property-specific approaches have succeeded in dealing with MEPs involving various types of nonstationary states, using Hermitian or non-Hermitian formulations. Their application over the years has yielded a large number of quantitative results, which compare favorably with measurements or constitute testable predictions.
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