The self-interaction correction in the time domain

We provide a brief outline of the Self Interaction Correction (SIC) used in connection with the Local Density Approximation (LDA) of Density Functional Theory (DFT), pointing out especially the implications for Time Dependent theories (TDDFT). We discuss how the self-interaction problem can be resolved by a clean formulation of the SIC theory including in an explicit manner the ortho-normalization of Kohn Sham orbitals. We finally show a few examples of applications of the theory.