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Publication . Other literature type . Article . 1995

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

Gisèle Ruiz Goldstein; Jerome A. Goldstein; Wenyao Jia;
Open Access
Published: 01 Jan 1995
Publisher: Khayyam Publishing, Inc.

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


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

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Project Euclid
Other literature type . 1995
Providers: Project Euclid