Time-dependent Density Functional Theoretical Methods for Treatment of Many-electron Molecular Systems in Intense Laser Fields

In this chapter, we review the recent new developments in time-dependent density functional (TDDFT) methods for treatment of dynamics of many-electron molecules in intense laser fields. We discuss some recent development of TDDFT with optimized effective potential (OEP) and self-interaction-correction (SIC) for many-electron systems which allows the use of orbital-independent single-particle local potential with correct asymptotic ba-havior. We also describe several numerical techniques recently developed for efficient and high-precision treatment of the time-dependent Kohn-Sham equations. The usefulness of these procedures is illustrated by a few case studies of multiphoton processes in diatomic molecules, including multiphoton ionization and high-order harmonic generation. TDDFT methods for molecular systems in laser fields 3