Many-body Diagrammatic Expansion for the Exchange-Correlation Kernel in Time Dependent Density Functional Theory

  title={Many-body Diagrammatic Expansion for the Exchange-Correlation Kernel in Time Dependent Density Functional Theory},
  author={Ilya V. Tokatly and R. Stubner and O. A. Pankratov},
  journal={Physical Review B},
The central problem of time dependent density functional theory (TDDFT) 1 is to find an adequate approximation for the dynamic exchange-correlation (xc) potential vxc. In contrast to static DFT, where the local density approximation (LDA) has been extremely successful, no universal recipe for a dynamic vxc has been found, and it remains unclear if such a recipe exists. The adiabatic LDA (ALDA), which is most popular in practical TDDFT calculations, is valid, by its nature, only in a quasistatic… 
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