This paper provides a pedagogical in
troduction to TDDFT . With that in mind, they present, in section 2, a
quite detailed proof of the Runge-Gross theorem, i.e. the time-dependent
generalization of the Hohenberg-Kohn theorem, and the corresponding
Kohn-Sham construction. These constitute the mathematical foundations
of TDDFT. Several approximate exchange-correlation (xc) functionals are
then reviewed. Section 3 is concerned with linear-response theory,
and with its main ingredient, the xc kernel. The calculation of excitation energies is treated in the following section. After giving a brief overlook of the competing density-functional methods to calculate excitations, they present some results obtained from the full solution of the Kohn-Sham scheme, and from linear-response theory. Section 5 is devoted to the problem of atoms
and molecules in strong laser fields. Both high-harmonic generation and ionization are discussed. Finally, the last section is reserved to some concluding
remarks. |