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
Spin-multiplet energies from time-dependent density functional theory
โ Scribed by M. Petersilka; E. K. U. Gross
- Publisher
- John Wiley and Sons
- Year
- 1996
- Tongue
- English
- Weight
- 606 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0020-7608
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โฆ Synopsis
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 corrections to the Kohr-Sham single-particle transition energies are derived whose actual computation only requires the ordinary static Koh-Sham orbitals apd the corresponding eigenvalues. Numerical results are presented for spin-singlet and triplet energies.
๐ 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
A quantum fluid density functional theory has been developed through an amalgamation of the quantum fluid dynamics and the time-dependent density functional theory. It is used in studying typical time-dependent processes like ionแatom collisions and atomแfield interaction. Temporal evolution of chem
## Abstract A highly efficient new algorithm for timeโdependent densityโfunctional theory (TDDFT) calculations is presented. In this algorithm, a dualโlevel approach to speed up DFT calculations (Nakajima and Hirao, J Chem Phys 2006, 124, 184108) is combined with a stateโspecific (SS) algorithm for