Intrinsic-Density Functionals

Abstract

The Hohenberg-Kohn theorem and Kohn-Sham procedure are extended to functionals of the localized intrinsic density of a self-bound system such as a nucleus. After defining the intrinsic-density functional, we modify the usual Kohn-Sham procedure slightly to evaluate the mean-field approximation to the functional, and carefully describe the construction of the leading corrections for a system of fermions in one dimension with a spin-degeneracy equal to the number of particles N. Despite the fact that the corrections are complicated and nonlocal, we are able to construct a local Skyrme-like intrinsic-density functional that, while different from the exact functional, shares with it a minimum value equal to the exact ground-state energy at the exact ground-state intrinsic density, to next-to-leading order in 1/N. We briefly discuss implications for real Skyrme functionals.

15 pages

References in corpus (2)

• Density Functional Theory for a Confined Fermi System with Short-Range Interaction
• The Kinetic Energy Density in Kohn-Sham Density Functional Theory

Cited by in corpus (7)

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• Khon-Sham Density Functional Inspired Approach to Nuclear Binding
• Relativistic RPA in axial symmetry
• Density functional theory for self-bound systems
• Scalar Nature of the Nuclear Density Functional
• Global nuclear structure aspects of tensor interaction
• Significance and properties of internucleon correlation functions