Intrinsic-Density Functionals

dc.creatorEngel, J.
dc.date2006-10-10
dc.date.accessioned2026-07-07T10:26:32Z
dc.date.available2026-07-07T10:26:32Z
dc.descriptionThe 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.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/nucl-th/0610043
dc.identifierhttp://arxiv.org/abs/nucl-th/0610043
dc.identifierPhys.Rev.C75:014306,2007
dc.identifierdoi:10.1103/PhysRevC.75.014306
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/176914
dc.subjectNuclear Theory
dc.titleIntrinsic-Density Functionals
dc.typetext

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