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TIME DEPENDENT DENSITY FUNCTIONAL THEORY ... - TDDFT.org

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Scattering amplitudes from time-dependent<br />

density functional theory<br />

Adam Wasserman, Neepa T. Maitra, and Kieron Burke<br />

Rutgers University<br />

The linear response formalism of time-dependent density functional theory is adapted to study<br />

low-lying electronic continuum states of atoms. Exact formulas to extract transmission amplitudes<br />

from the susceptibility are derived for one dimensional scattering, and exemplified on a simple<br />

model. Continuum states of the ground-state Kohn-Sham potential of an N-electron system can<br />

provide a good approximation to scattering from the corresponding (N-1)-electron system, as shown<br />

here for the case of electron-He+ scattering.<br />

41

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