Title

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

Abstract

Of concern is a quantum mechanical system having N1 (resp. N2) 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. © 1995, Khayyam Publishing.

Publication Title

Differential and Integral Equations

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