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Time-dependent density-functional theory: First-principles approach toward electronic excitations

 

Yong-Hoon Kim

 

Korea Institute for Advanced Study, Seoul 130-722, Korea

 

In this lecture, I will first review the basics of time-dependent density-functional theory (TDDFT), emphasizing the comparison with the many-body formulation, Hedin’s GW approach plus Bethe-Salpeter equation. After presenting several recent developments in its formalism and computational implementations, I will show several examples of its applications taken from the literature to assess its performance. The methodology is still being actively developed, and the theoretical and computational ingredients required for TDDFT to become a reliable and useful tool for the study of electronic excitations will be described throughout the talk.