scholarly journals Density Functional Theory of Highly Excited States of Coulomb Systems

Computation ◽  
2021 ◽  
Vol 9 (6) ◽  
pp. 73
Author(s):  
Ágnes Nagy
Keyword(s):  
Density Functional Theory ◽  
Excited States ◽  
Density Functional ◽  
Coulomb Systems ◽  
Functional Theory ◽  
Hartree Fock ◽  
The Density Functional Theory

The density functional theory proposed earlier for excited states of Coulomb systems is discussed. The localized Hartree–Fock (LHF) and the Krieger, Li, and Iafrate (KLI) methods combined with correlation are generalized for excited states. Illustrative examples include some highly excited states of Li and Na atoms.

QUASILOCAL DENSITY FUNCTIONAL THEORY FOR NUCLEI INCLUDING PAIRING CORRELATIONS

2007 ◽  
Vol 16 (02) ◽  
pp. 249-262 ◽  
Author(s):  
X. VIÑAS ◽  
V. I. TSELYAEV ◽  
V. B. SOUBBOTIN ◽  
S. KREWALD
Keyword(s):  
Density Functional Theory ◽  
Density Functional ◽  
Equations Of Motion ◽  
Mean Field ◽  
Field Operator ◽  
Functional Theory ◽  
Hartree Fock ◽  
Orbit Potential ◽  
The Density Functional Theory ◽  
Pairing Correlations

We propose first a generalization of the Density Functional Theory leading to single-particle equations of motion with a quasilocal mean-field operator containing a position-dependent effective mass and a spin-orbit potential. Ground-state properties of doubly magic nuclei are obtained within this framework using the Gogny D1S force and compared with the exact Hartree-Fock values. Next, extend the Density Functional Theory to include pairing correlations without formal violation of the particle-number condition. This theory, which is nonlocal, is simplified by a suitable quasilocal reduction. Some calculations to show the ability of this theory are presented.

Quadrupole polarizabilities and Sternheimer antishielding factors in the density functional theory

1982 ◽  
Vol 60 (2) ◽  
pp. 210-221 ◽  
Author(s):  
M. J. Stott ◽  
E. Zaremba ◽  
D. Zobin
Keyword(s):  
Density Functional Theory ◽  
Density Functional ◽  
Correlation Energy ◽  
Local Density ◽  
Closed Shell ◽  
Energy Functional ◽  
Functional Theory ◽  
Hartree Fock ◽  
Shielding Factor ◽  
The Density Functional Theory

The quadrupole polarizability and Sternheimer antishielding factor have been calculated for selected closed-shell atoms and ions using the density functional theory. In most cases, the results agree favourably with coupled Hartree–Fock calculations. However, for atoms with valence (d-shells the local density approximation used in the calculations is found to be inadequate. Our results suggest that refinements to the exchange-correlation energy functional are required in order to obtain accurate values for the polarizability and shielding factor of (d-shell atoms within a density functional approach.

scholarly journals Multiresolution quantum chemistry in multiwavelet bases: excited states from time-dependent Hartree–Fock and density functional theory via linear response

2015 ◽  
Vol 17 (47) ◽  
pp. 31405-31416 ◽  
Author(s):  
Takeshi Yanai ◽  
George I. Fann ◽  
Gregory Beylkin ◽  
Robert J. Harrison
Keyword(s):  
Density Functional Theory ◽  
Quantum Chemistry ◽  
Numerical Method ◽  
Excited States ◽  
Multiresolution Analysis ◽  
Linear Response ◽  
Density Functional ◽  
Time Dependent ◽  
Functional Theory ◽  
Hartree Fock

A fully numerical method for the time-dependent Hartree–Fock and density functional theory (TD-HF/DFT) with the Tamm–Dancoff (TD) approximation is presented in a multiresolution analysis (MRA) approach.

scholarly journals Coordinate Scaling in Time-Independent Excited-State Density Functional Theory for Coulomb Systems

Computation ◽  
2019 ◽  
Vol 7 (4) ◽  
pp. 59
Author(s):  
Ágnes Nagy
Keyword(s):  
Density Functional Theory ◽  
Excited State ◽  
Excited States ◽  
Density Functional ◽  
Coulomb Systems ◽  
State Theory ◽  
State Density ◽  
Functional Theory ◽  
Exchange Correlation ◽  
Coordinate Scaling

A time-independent density functional theory for excited states of Coulomb systems has recently been proposed in a series of papers. It has been revealed that the Coulomb density determines not only its Hamiltonian, but the degree of excitation as well. A universal functional valid for any excited state has been constructed. The excited-state Kohn–Sham equations bear resemblance to those of the ground-state theory. In this paper, it is studied how the excited-state functionals behave under coordinate scaling. A few relations for the scaled exchange, correlation, exchange-correlation, and kinetic functionals are presented. These relations are expected to be advantageous for designing approximate functionals.

scholarly journals Density Functional Theory of Coulombic Excited States Based on Nodal Variational Principle

Computation ◽  
2021 ◽  
Vol 9 (8) ◽  
pp. 93
Author(s):  
Ágnes Nagy
Keyword(s):  
Density Functional Theory ◽  
Variational Principle ◽  
Excited States ◽  
Density Functional ◽  
Functional Theory ◽  
Correct Number ◽  
The Density Functional Theory

The density functional theory developed earlier for Coulombic excited states is reconsidered using the nodal variational principle. It is much easier to solve the Kohn–Sham equations, because only the correct number of nodes of the orbitals should be insured instead of the orthogonality.

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