Related Experiment Video
Updated: Jun 10, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Communications: On the relation between the scalar and tensor exchange-correlation kernels of the time-dependent
V U Nazarov1, G Vignale, Y-C Chang
1Research Center for Applied Sciences, Academia Sinica, Taipei 115, Taiwan. nazarov@gate.sinica.edu.tw
Abstract:
The scalar f(xc) and tensor f(xc) exchange-correlation (xc) kernels are key ingredients of the time-dependent density functional theory and the time-dependent current density functional theory, respectively. We derive a comparatively simple relation between these two kernels under the assumption that the dynamic xc can be considered "weak." A calculation of the frequency-dependent dielectric function of silicon using this relation in conjunction with Vignale-Kohn f(xc) demonstrates a potential of our method to account for the dynamic many-body effects within the rigorous scheme of time-dependent density functional theory. Our formula provides a bridge between the scalar f(xc), which directly enters many applications, and the tensor f(xc) which, due to its locality in space, is much easier to approximate.
Related Concept Videos
Carrier Transport
Drift Current:
The drift of charge carriers is started by an external electric field (E). Charged particles, such as electrons and holes, experience an acceleration between collisions with lattice atoms. For electrons, this results in a drift velocity (vd) given by:
2D NMR: Overview of Heteronuclear Correlation Techniques
2D NMR: Overview of Homonuclear Correlation Techniques
COSY90 is the standard two-dimensional (2D) COSY experiment that...
Extraction: Partition and Distribution Coefficients
For extracting a solute from an aqueous phase into an organic...
Properties of DTFT II
The frequency differentiation property is illustrated by considering a DTFT pair and differentiating both sides with respect to ω. Multiplying by j...
Debye–Huckel–Onsager Conductance Equation

