The problem addressed by this School is electronic excitations in atoms, molecules, or materials. The target method of choice is time-dependent density-functional theory (TDDFT), but other theories will be covered (mainly many-body perturbation theory techniques), in order to get a general picture, and to be able to establish comparisons. The relation of the various options will be analysed. The theoretical foundations will be covered, as well as the large list of possible applications: description of photo-absorption cross section of molecules and nanostructures, electron-ion dynamics in the excited state triggered by either a small or high intense laser fields, van der Waals interactions, development of new functionals coping with memory and non-locality effects, applications to biological systems (chromophores), transport phenomena, optical spectra of solids and low- dimensional structures (as nanotubes, polymers, surfaces...)
The theoretical sessions will be complemented by six hands-on-session, where we will teach the students the use of standard TDDFT codes, and basic coding techniques for software development in this area of science.
1. Introduction to "standard" ground-state DFT.
2. TDDFT: Fundamentals, and advanced topics.
3. Introduction to Many-Body quantum physics.
7. Non-linear response within TDDFT.
8. Perspectives, standing problems.
9. Computational implementations: techniques, methods.
10. Practical sessions: use of TDDFT in practice for basic problems.