We discuss the dynamics of electrons under near-fields. In an attempt to apply time dependent density functional theory to this problem we stumble on some serious deficiencies in standard density functional theories and their time-dependent extensions. We then describe the theory for constructing a new functional to remedy these problems.
The resulting functional is shown to be very accurate for many types of properties of molecules, including excited states and even Rydberg excitations. With it we describe some applications to electron dynamics in small metal clusters.
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