Several different versions of density functional theory (DFT) that satisfy Hohenberg-Kohn theorems are characterized by different definitions of a reference or model state determined by an N-electron ground state. A common formalism is developed in which exact Kohn-Sham equations are derived for sta
Exchange—correlation potential and excited-state density functional theory
✍ Scribed by Pratim K. Chattaraj; Swapan K. Ghosh; Shubin Liu; Robert G. Parr
- Publisher
- John Wiley and Sons
- Year
- 1996
- Tongue
- English
- Weight
- 545 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0020-7608
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✦ Synopsis
The exchange-correlation potential associated with excited-state density functional theory is studied numerically using accurate electron densities for ground and excited states of He, Be, Ne, Mg, and Ar. The long-range and short-range behaviors of this potential are discussed. First-excitation energies are estimated using various prescriptions.
📜 SIMILAR VOLUMES
Density functional theory for a single excited state is presented using Kato's theorem and the concept of adiabatic connection. The degenerate case is also detailed. The optimized potential method is generalized. The generalized Krieger, Li, and Ž . Iafrate KLI approximation is derived.
For Hamiltonians which are invariant under a group of transformations, one can restrict the search for the energy eigenstates in spaces whose functions transform according to the irreducible representations of the group. However, the construction of a Slater determinant to represent the equivalent n
This work reports the first density-functional theory DFT treatment of excited-state potential energy surfaces exhibiting avoided crossings. Time-dependent Ž . DFT TD-DFT results, using a recently proposed asymptotically corrected local density approximation functional, are compared with multirefere
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