%0 Journal Article %T Double-Pole Approximation in Time-Dependent Density Functional Theory %A H. Appel %A E. K. U. Gross %A K. Burke %J Physics %D 2005 %I arXiv %R 10.1002/qua.20964 %X A simple approximate solution to the linear response equations of time-dependent density functional theory (TDDFT) is given. This extends the single-pole approximation (SPA) to two strongly-coupled poles. The analysis provides both an illustration of how TDDFT works when strong exchange-correlation effects are present and insight into such corrections. For example, interaction can cause a transition to vanish entirely from the optical spectrum. %U http://arxiv.org/abs/cond-mat/0510396v1