# On the relation between the scalar and tensor exchange-correlation kernels of the time-dependent density-functional theory

Please use this identifier to cite or link to this item: http://hdl.handle.net/10355/7633

 Title: On the relation between the scalar and tensor exchange-correlation kernels of the time-dependent density-functional theory Author: Nazarov, V. U.; Vignale, Giovanni, 1957-; Chang, Y.-C. Date: 2010-01 Publisher: arXiv Citation: arXiv:1001.2795v1 Abstract: The scalar $f_{xc}$ and tensor $\hat{f}_{xc}$ 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". We expect our formula to serve as a convenient bridge between the scalar $f_{xc}$ which directly enters many applications and the tensor $\hat{f}_{xc}$ which, due to its locality in space, is much easier to approximate. URI: http://hdl.handle.net/10355/7633