Time-Dependent Density-Functional Theory

Carsten Ullrich is Associate Professor of Physics at the 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.