Density functional theory and Kohn-Sham scheme for self-bound systems

2009/04/30 by J. Messud, M. Bender, E. Suraud · 43 citations
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #Computer science #Density functional theory #Energy (signal processing) #Function (biology) #Functional theory #High-pressure geophysics and materials #Kinetic energy #Kohn–Sham equations #Mathematical analysis #Mathematics #Orbital-free density functional theory #Physics #Quantum mechanics #Quantum, superfluid, helium dynamics #Scheme (mathematics) #Set (abstract data type) #Statistical physics #Time-dependent density functional theory #Wave function #nucl-th

paper · pdf · doi:10.1103/physrevc.80.054314

published in Physical Review C 80(5) (American Institute of Physics) · 6 pages. To be published in Phys. Rev. C

arxiv created 2009/11/10 · openalex publication_date 2009/11/24 · arxiv updated 2010/01/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We demonstrate how the separation of the total energy of a self-bound system into a functional of the internal one-body Fermionic density and a function of an arbitrary wave vector describing the center-of-mass kinetic energy can be used to set up an ``internal'' Kohn-Sham scheme.

Citations

• Scalar nature of the nuclear density functional
• Self-consistent mean-field models for nuclear structure
• Local nuclear energy density functional at next-to-next-to-next-to-leading order
• Density functional theory for self-bound systems
• Self-Consistent Equations Including Exchange and Correlation Effects

Cited by

• Self-interaction errors in nuclear energy density functionals
• Estimating the relevance of predictions from the Skyrme–Hartree–Fock model