dorsal/arxiv
View SchemaNonabelian density functional theory
| Authors | G. Rosensteel, Ts. Dankova |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9909070 |
| URL | https://arxiv.org/abs/nucl-th/9909070 |
| DOI | 10.1088/0305-4470/31/44/017 |
| Journal | J.Phys.A31:8933,1998 |
Abstract
Given a vector space of microscopic quantum observables, density functional theory is formulated on its dual space. A generalized Hohenberg-Kohn theorem and the existence of the universal energy functional in the dual space are proven. In this context ordinary density functional theory corresponds to the space of one-body multiplication operators. When the operators close under commutation to form a Lie algebra, the energy functional defines a Hamiltonian dynamical system on the coadjoint orbits in the algebra's dual space. The enhanced density functional theory provides a new method for deriving the group theoretic Hamiltonian on the coadjoint orbits from the exact microscopic Hamiltonian.
{
"annotation_id": "96586fe6-27e8-47a7-9224-0b13b0288de1",
"date_created": "2026-03-02T18:00:29.431000Z",
"date_modified": "2026-03-02T18:00:29.431000Z",
"file_hash": "09642d0df3e00daa16fa9cdc9d6f62b41dfb416c89e532a90d89ae669dccf1c8",
"private": false,
"record": {
"abstract": "Given a vector space of microscopic quantum observables, density functional\ntheory is formulated on its dual space. A generalized Hohenberg-Kohn theorem\nand the existence of the universal energy functional in the dual space are\nproven. In this context ordinary density functional theory corresponds to the\nspace of one-body multiplication operators. When the operators close under\ncommutation to form a Lie algebra, the energy functional defines a Hamiltonian\ndynamical system on the coadjoint orbits in the algebra\u0027s dual space. The\nenhanced density functional theory provides a new method for deriving the group\ntheoretic Hamiltonian on the coadjoint orbits from the exact microscopic\nHamiltonian.",
"arxiv_id": "nucl-th/9909070",
"authors": [
"G. Rosensteel",
"Ts. Dankova"
],
"categories": [
"nucl-th"
],
"doi": "10.1088/0305-4470/31/44/017",
"journal_ref": "J.Phys.A31:8933,1998",
"title": "Nonabelian density functional theory",
"url": "https://arxiv.org/abs/nucl-th/9909070"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "a4dbefb7-d5dd-4ef3-9055-c5d1c1d8ce32",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}