Density functional theory in one-dimension for contact-interacting fermions

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dc.creatorMagyar, R. J.
dc.creatorBurke, K.
dc.date2004-02-04
dc.date.accessioned2026-07-07T06:33:17Z
dc.date.available2026-07-07T06:33:17Z
dc.descriptionA density functional theory is developed for fermions in one dimension, interacting via a delta-function. Such systems provide a natural testing ground for questions of principle, as the local density approximation should work well for short-ranged interactions. The exact-exchange contribution to the total energy is a local functional of the density. A local density approximation for correlation is obtained using perturbation theory and Bethe-Ansatz results for the one-dimensional contact-interacting uniform Fermi gas. The ground-state energies are calculated for two finite systems, the analogs of Helium and of Hooke's atom. The local approximation is shown to be excellent, as expected.
dc.description10 pages, 7 Figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0402108
dc.identifierhttp://arxiv.org/abs/cond-mat/0402108
dc.identifierPhys. Rev. A 70, 032508 (2004)
dc.identifierdoi:10.1103/PhysRevA.70.032508
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99140
dc.subjectOther Condensed Matter
dc.subjectMaterials Science
dc.titleDensity functional theory in one-dimension for contact-interacting fermions
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