Adiabatic approximation within time-dependent density functional theory using inversion of the ground-state spin-density Kohn-Sham formalism

► An adiabatic approximation for time-dependent density functional theory is proposed. ► Inverting static spin-density functional theory yields accurate correlation potentials. ► The derivative discontinuity is reproduced. ► Tested for strong-field ionization and molecules at large internuclear distance.