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Publication . Other literature type . Article . 1995

Thomas-Fermi theory with magnetic fields and the Fermi-Amaldi correction

Goldstein, Gisèle Ruiz; Goldstein, Jerome A.; Jia, Wenyao;
Open Access
Published: 01 Jan 1995 Journal: Differential and Integral Equations, volume 8 (issn: 0893-4983, Copyright policy )
Publisher: Khayyam Publishing, Inc
Abstract

Of concern is a quantum mechanical system having $N_{1}$ (resp. $N_{2}$) spin up (resp. spin down) electrons, in the presence of a potential $V$ and a magnetic field $B.$ When the Fermi-Amaldi correction is incorporated into the Thomas-Fermi energy functional, convexity is lost and the computation of the ground state spin up and down electron densities becomes nontrivial. We discuss the existence of these densities and various approximation procedures for them, via variational calculus, differential equations, and numerical procedures.

Subjects by Vocabulary

arXiv: Condensed Matter::Strongly Correlated Electrons

Subjects

Applied Mathematics, Analysis, 81V45, 49S05, 81V55

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Project Euclid
Other literature type . 1995
Providers: Project Euclid
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