@article {Baer2018,
	title = {Time-dependent generalized Kohn\&ndash;Sham theory},
	journal = {The European Physical Journal B},
	volume = {91},
	number = {7},
	year = {2018},
	month = {Jul},
	pages = {170},
	abstract = {Generalized Kohn{\textendash}Sham (GKS) theory extends the realm of density functional theory (DFT) by providing a rigorous basis for non-multiplicative potentials, the use of which is outside original Kohn{\textendash}Sham theory. GKS theory is of increasing importance as it underlies commonly used approximations, notably (conventional or range-separated) hybrid functionals and meta-generalized-gradient-approximation (meta-GGA) functionals. While this approach is often extended in practice to time-dependent DFT (TDDFT), the theoretical foundation for this extension has been lacking, because the Runge{\textendash}Gross theorem and the van Leeuwen theorem that serve as the basis of TDDFT have not been generalized to non-multiplicative potentials. Here, we provide the necessary generalization. Specifically, we show that with one simple but non-trivial additional caveat {\textendash} upholding the continuity equation in the GKS electron gas {\textendash} the Runge{\textendash}Gross and van Leeuwen theorems apply to time-dependent GKS theory. We also discuss how this is manifested in common GKS-based approximations.},
	issn = {1434-6036},
	doi = {10.1140/epjb/e2018-90103-0},
	url = {https://doi.org/10.1140/epjb/e2018-90103-0},
	author = {Baer, Roi and Kronik, Leeor}
}
