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1995 Thomas-Fermi theory with magnetic fields and the Fermi-Amaldi correction
Gisèle Ruiz Goldstein, Jerome A. Goldstein, Wenyao Jia
Differential Integral Equations 8(6): 1305-1316 (1995).

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.

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Gisèle Ruiz Goldstein. Jerome A. Goldstein. Wenyao Jia. "Thomas-Fermi theory with magnetic fields and the Fermi-Amaldi correction." Differential Integral Equations 8 (6) 1305 - 1316, 1995.

Information

Published: 1995
First available in Project Euclid: 15 May 2013

zbMATH: 0863.49032
MathSciNet: MR1329842

Subjects:
Primary: 81V45
Secondary: 49S05, 81V55

Rights: Copyright © 1995 Khayyam Publishing, Inc.

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Vol.8 • No. 6 • 1995
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