Hartree-Fock energy-density functionals generated by local-scaling transformations: Applications to first-row atoms

1997 ◽  
Vol 107 (17) ◽  
pp. 6722-6731 ◽  
Author(s):  
R. López-Boada ◽  
E. V. Ludeña ◽  
V. Karasiev ◽  
R. Pino
Keyword(s):  
Energy Density ◽  
Density Functionals ◽  
Local Scaling ◽  
Hartree Fock

Approximate kinetic energy density functionals generated by local-scaling transformations

1996 ◽  
Vol 74 (6) ◽  
pp. 1097-1105 ◽  
Author(s):  
E.V. Ludeña ◽  
R. López-Boada ◽  
R. Pino
Keyword(s):  
Density Functional Theory ◽  
Energy Density ◽  
Kinetic Energy ◽  
Density Functional ◽  
Kinetic Energy Density ◽  
Density Functionals ◽  
Functional Theory ◽  
Local Scaling ◽  
Energy Functionals ◽  
Key Words Density

Different stages in the development of density functional theory are succinctly reviewed for the purpose of tracing the origin of the local-scaling transformation version of density functional theory. Explicit kinetic energy functionals are generated within this theory. These functionals are analyzed in terms of several approximations to the local-scaling function and are applied to a few selected first-row atoms. Key words: density functional theory, kinetic energy density functionals, local-scaling transformations, explicit kinetic energy functionals, kinetic energy of first-row atoms.

scholarly journals Determination of local energy density functionals from Brueckner-Hartree-Fock calculations

2011 ◽  
Vol 84 (2) ◽  
Author(s):  
D. Gambacurta ◽  
L. Li ◽  
G. Colò ◽  
U. Lombardo ◽  
N. Van Giai ◽  
...  
Keyword(s):  
Energy Density ◽  
Local Energy ◽  
Density Functionals ◽  
Hartree Fock ◽  
Local Energy Density

RELATIVISTIC NUCLEAR ENERGY DENSITY FUNCTIONALS

2010 ◽  
Vol 19 (04) ◽  
pp. 548-557 ◽  
Author(s):  
D. VRETENAR ◽  
T. NIKŠIĆ ◽  
P. RING
Keyword(s):  
Energy Density ◽  
Degrees Of Freedom ◽  
Nuclear Energy ◽  
Effective Interaction ◽  
Binding Energies ◽  
Large Set ◽  
Density Functionals ◽  
Heavy Nuclei ◽  
Interaction Terms ◽  
Range Dynamics

A class of relativistic nuclear energy density functionals is explored, in which only nucleon degrees of freedom are explicitly used in the construction of effective interaction terms. Short-distance correlations, as well as intermediate and long-range dynamics, are encoded in the nucleon-density dependence of the strength functionals of an effective interaction Lagrangian. The resulting phenomenological effective interaction, adjusted to experimental binding energies of a large set of axially deformed nuclei, together with a new separable pairing interaction adjusted to reproduce the pairing gap in nuclear matter calculated with the Gogny force, is applied in triaxial relativistic Hartree-Bogoliubov calculations of sequences of heavy nuclei: Th , U , Pu , Cm , Cf , Fm , and No .

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