Development of non-local Wigner-like correlation-energy density functionals through coordinate scaling requirements and evaluation of contraint obedience in the construction of density functionals

1994 ◽  
Vol 181 (3) ◽  
pp. 337-353 ◽  
Author(s):  
Leslie C. Wilson
Keyword(s):  
Energy Density ◽  
Correlation Energy ◽  
Density Functionals ◽  
Non Local ◽  
Coordinate Scaling

scholarly journals Nonuniversality of commonly used correlation-energy density functionals

2006 ◽  
Vol 124 (23) ◽  
pp. 234111 ◽  
Author(s):  
Jacob Katriel ◽  
Sudip Roy ◽  
Michael Springborg
Keyword(s):  
Energy Density ◽  
Correlation Energy ◽  
Density Functionals

Results obtained with the correlation energy density functionals of becke and Lee, Yang and Parr

1989 ◽  
Vol 157 (3) ◽  
pp. 200-206 ◽  
Author(s):  
Burkhard Miehlich ◽  
Andreas Savin ◽  
Hermann Stoll ◽  
Heinzwerner Preuss
Keyword(s):  
Energy Density ◽  
Correlation Energy ◽  
Density Functionals

scholarly journals Coulomb Energy Density Functionals for Nuclear Systems: Recent Studies of Coulomb Exchange and Correlation Functionals

2019 ◽  
Vol 223 ◽  
pp. 01044
Author(s):  
Tomoya Naito ◽  
Ryosuke Akashi ◽  
Gianluca Colò ◽  
Haozhao Liang ◽  
Xavier Roca-Maza
Keyword(s):  
Energy Density ◽  
Nuclear Force ◽  
Correlation Energy ◽  
Coulomb Energy ◽  
Density Functionals ◽  
Electron Systems ◽  
Generalized Gradient ◽  
Generalized Gradient Approximation ◽  
Nuclear Systems ◽  
Exchange And Correlation

The Coulomb exchange and correlation energy density functionals for electron systems are applied to nuclearsystems. It is found that the exchange functionals in the generalized gradient approximation provide agreements with the exact-Fock energy with one adjustable parameter within a few dozen keV accuracy, whereas the correlation functionals are not directly applicable to nuclear systems due to the existence of the nuclear force.

scholarly journals Scaling analysis of a physics-guided kinetic energy density expansion

2021 ◽  
Vol 2090 (1) ◽  
pp. 012123
Author(s):  
Bader H Aldossari ◽  
Mel Levy ◽  
Abdulaziz H Al-Aswad ◽  
Fahhad H Alharbi
Keyword(s):  
Energy Density ◽  
Kinetic Energy ◽  
Scaling Analysis ◽  
Kinetic Energy Density ◽  
Density Functionals ◽  
General Expansion ◽  
Coordinate Scaling ◽  
Density Expansion

Abstract An approach guided by physical consistency in determining the general forms of D-dimensional kinetic energy density functionals (KEDF) has been demonstrated previously, producing an expansion which contains the majority of the known one-point KEDF forms. It is known that any noninteracting KEDF shall necessarily have a homogeneity degree of 2 in coordinate scaling. This paper demonstrates that this condition is already satisfied in the general expansion despite not being conceived with the scaling as a constraint.

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