Time-Dependent Density-Functional Theory: Concepts and Applications

1. Introduction 2. Review of ground-state density-functional theory 3. Fundamental existence theorems 4. Time-dependent Kohn-Sham scheme 5. Time-dependent observables 6. Properties of the time-dependent xc potential 7. The formal framework of linear-response TDDFT 8. The frequency-dependent xc kernel 9. Applications in atomic and molecular systems 10. Time-dependent current-DFT 11. Time-dependent optimized effective potential 12. Extended systems 13. TDDFT and many-body theory 14. Long-range correlations and dispersion interactions 15. Nanoscale transport and molecular junctions 16. Strong-field phenomena and optimal control 17. Nuclear motion A. Atomic units B. Functionals and functional derivatives C. Densities and density matrices D. Hartree-Fock and other wave-function approaches E. Constructing the xc potential from a given density F. DFT for excited states G. Systems with noncollinear spin H. The dipole approximation I. A brief review of classical fluid dynamics J. Constructing the scalar from the tensor xc kernel K. Semiconductor quantum wells L. TDDFT in a Lagrangian frame M. Inversion of the dielectric matrix N. Review literature in DFT and many-body theory O. TDDFT computer codes