The role of the exchange-correlation potential and the exchange-correlation kernel in the calculation of excitation energies from time-dependent density functional theory is studied. Excitation energies of the helium and beryllium atoms are calculated, both from the exact Kohn-Sham ground-state pote
Exact exchange kernel for time-dependent density-functional theory
✍ Scribed by Andreas Görling
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 204 KB
- Volume
- 69
- Category
- Article
- ISSN
- 0020-7608
No coin nor oath required. For personal study only.
✦ Synopsis
An exact expression for the exchange kernel of time-dependent densityfunctional theory, the frequency-dependent functional derivative of the exchange potential with respect to the density, is derived. The expression is simple enough to be applied in practice. A simple and transparent derivation of the coupled Kohn᎐Sham equation of time-dependent density-functional theory is given. Modified coupled Kohn᎐Sham equations are presented that are especially well suited for an ''exact-exchange'' treatment of excitation energies, polarizabilities, and other linear response properties.
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