Starting from a formally exact density-functional representation of the frequencydependent linear density response and exploiting the fact that the latter has poles at the true excitation energies, we develop a density-functional method for the calculation of excitation energies. Simple additive cor
Excitation energies from time-dependent density functional theory using exact and approximate potentials
β Scribed by M. Petersilka; E. K. U. Gross; Kieron Burke
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 308 KB
- Volume
- 80
- Category
- Article
- ISSN
- 0020-7608
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β¦ Synopsis
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 potential and from two orbital-dependent approximations. These are exact exchange and self-interaction corrected local density approximation (SIC-LDA), both calculated using Krieger-Li-Iafrate approximation. For the exchange-correlation kernels, three adiabatic approximations were tested: the local density approximation, exact exchange, and SIC-LDA. The choice of the ground-state exchange-correlation potential has the largest impact on the absolute position of most excitation energies. In particular, orbital-dependent approximate potentials result in a uniform shift of the transition energies to the Rydberg states.
π SIMILAR VOLUMES
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 t
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