dorsal/arxiv
View SchemaDensity-functional theory for the pairing Hamiltonian
| Authors | T. Papenbrock, Anirban Bhattacharyya |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0609084 |
| URL | https://arxiv.org/abs/nucl-th/0609084 |
| DOI | 10.1103/PhysRevC.75.014304 |
| Journal | Phys.Rev.C75:014304,2007 |
Abstract
We consider the pairing Hamiltonian and systematically construct its density functional in the strong-coupling limit and in the limit of large particle number. In the former limit, the functional is an expansion into central moments of occupation numbers. In the latter limit, the functional is known from BCS theory. Both functionals are nonlocal in structure, and the nonlocalities are in the form of simple products of local functionals. We also derive the relation between the occupation numbers and the Kohn-Sham density.
{
"annotation_id": "1597b2de-9887-4867-af40-f865d8c52b7b",
"date_created": "2026-03-02T18:00:08.593000Z",
"date_modified": "2026-03-02T18:00:08.593000Z",
"file_hash": "5a1c7efde20d58b5397be464297ef0c7c34742dc1a170f3295f1facbf182fde7",
"private": false,
"record": {
"abstract": "We consider the pairing Hamiltonian and systematically construct its density\nfunctional in the strong-coupling limit and in the limit of large particle\nnumber. In the former limit, the functional is an expansion into central\nmoments of occupation numbers. In the latter limit, the functional is known\nfrom BCS theory. Both functionals are nonlocal in structure, and the\nnonlocalities are in the form of simple products of local functionals. We also\nderive the relation between the occupation numbers and the Kohn-Sham density.",
"arxiv_id": "nucl-th/0609084",
"authors": [
"T. Papenbrock",
"Anirban Bhattacharyya"
],
"categories": [
"nucl-th",
"cond-mat.supr-con"
],
"doi": "10.1103/PhysRevC.75.014304",
"journal_ref": "Phys.Rev.C75:014304,2007",
"title": "Density-functional theory for the pairing Hamiltonian",
"url": "https://arxiv.org/abs/nucl-th/0609084"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "0a2e3059-b74a-4124-a991-d2701aee0e13",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}