A convexified energy functional for the Fermi-Amaldi correction
type: Item
instance of: scholarly article
title: A convexified energy functional for the Fermi-Amaldi correction
zbMATH Open document ID: 1194.35340
author: Gisèle Ruiz Goldstein
author: Jerome A. Goldstein
author: Naima Naheed
published in: Discrete and Continuous Dynamical Systems
publication date: 2010-06-23T00:00:00Z
review text: The authors consider a quantum mechanical system of \(N\) electrons in \({\mathbb R}^3\) interacting through Coulomb interaction, with \(N_1\) spin up and \(N_2\) spin down. They study the Thomas-Fermi energy with the Fermi-Amaldi correction. As this functional is not convex, they replace it by a convex minorant \(E\) and they prove that this modified energy has a unique minimizing density provided that \(N_1\) is close to \(N_2\).
reviewed by: Bernard Ducomet
Mathematics Subject Classification ID: 35Q40
Mathematics Subject Classification ID: 35J47
Mathematics Subject Classification ID: 35J91
Mathematics Subject Classification ID: 49S05
Mathematics Subject Classification ID: 81V55
Mathematics Subject Classification ID: 92E10
zbMATH DE Number: 5725453
zbMATH Keywords: Thomas-Fermi theory
zbMATH Keywords: Fermi-Amaldi correction
zbMATH Keywords: spin polarized system
zbMATH Keywords: constrained minimization
zbMATH Keywords: convex minorant
zbMATH Keywords: degree theory
MaRDI profile type: Publication
full work available at URL: dcds.2010.28.41
OpenAlex ID: W2058496015
DOI: 10.3934/DCDS.2010.28.41
description: scientific article; zbMATH DE number 5725453