I will give a general review of density functional theory for non-experts
and explain why time-dependent DFT holds such promise for strong fields. I
will also explain why successes for electronic exitations do not imply
success for strong field processes 
 Time-dependent density functional theory: Past, present, and future K. Burke, Jan Werschnik, and E.K.U. Gross, J. Chem. Phys. 123, 062206 (2005).
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