Analysis and Control of Electron Dynamics

This lecture covers the analysis and control of electron dynamics on the femto-second time scale in laser fields, discussing the non-perturbative solutions of the full time-dependent Schrödinger equation (TDSE) for both strong and weak lasers. It delves into the density-functional theory, explaining how every observable quantity of a quantum system can be calculated from the system's density alone. The lecture also explores the time-dependent density-functional formalism, the photo-absorption in weak lasers, and the optimal control theory for achieving specific goals with laser pulses. Additionally, it touches upon electronic transport with time-dependent density-functional theory and the theoretical approach of real-time time-dependent density-functional theory with spin-orbit coupling.