dorsal/arxiv
View SchemaIntrinsic-Density Functionals
| Authors | J. Engel |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0610043 |
| URL | https://arxiv.org/abs/nucl-th/0610043 |
| DOI | 10.1103/PhysRevC.75.014306 |
| Journal | Phys.Rev.C75:014306,2007 |
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.
{
"annotation_id": "d6c1ab21-e65b-423b-b5b4-2591dc21f83c",
"date_created": "2026-03-02T18:00:08.017000Z",
"date_modified": "2026-03-02T18:00:08.017000Z",
"file_hash": "e9e78bd8c578453bc3b7e316f7700ef6c4f8e0dd8be5c6a4d3834ba47714effb",
"private": false,
"record": {
"abstract": "The Hohenberg-Kohn theorem and Kohn-Sham procedure are extended to\nfunctionals of the localized intrinsic density of a self-bound system such as a\nnucleus. After defining the intrinsic-density functional, we modify the usual\nKohn-Sham procedure slightly to evaluate the mean-field approximation to the\nfunctional, and carefully describe the construction of the leading corrections\nfor a system of fermions in one dimension with a spin-degeneracy equal to the\nnumber of particles N. Despite the fact that the corrections are complicated\nand nonlocal, we are able to construct a local Skyrme-like intrinsic-density\nfunctional that, while different from the exact functional, shares with it a\nminimum value equal to the exact ground-state energy at the exact ground-state\nintrinsic density, to next-to-leading order in 1/N. We briefly discuss\nimplications for real Skyrme functionals.",
"arxiv_id": "nucl-th/0610043",
"authors": [
"J. Engel"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.75.014306",
"journal_ref": "Phys.Rev.C75:014306,2007",
"title": "Intrinsic-Density Functionals",
"url": "https://arxiv.org/abs/nucl-th/0610043"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "16a97fd8-de19-49d5-b965-b6918dfc92aa",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}