Time-Dependent Density-Functional Theory

Carsten A. Ullrich, Department of Physics and Astronomy, University of Missouri - Columbia.

• 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

This is a very pedagogical introduction to the central ideas of time-dependent density-functional theory. The theory is described in depth and illustrated with many insightful examples and applications in atomic, molecular and condensed matter physics. This is a valuable book for both students and researchers.