The Fermi-Amaldi Correction in Spin Polarized Thomas-Fermi Theory


This chapter describes the Fermi–Amaldi correction in spin polarized Thomas–Fermi Theory. In Thomas–Fermi theory one seeks to find the ground state (electron position) density of a quantum mechanical N electron system by minimizing the energy functional. The spin polarized analogue of Thomas–Fermi theory. The chapter also derives the Euler–Lagrange equations. However, in this case no miracle occurs; the chapter obtains a coupled system of nonlinear elliptic equations which cannot be reduced to a single equation. The Euler–Lagrange equations are reduced to a coupled system of two elliptic partial differential equations. © 1992, Academic Press Inc.

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Mathematics in Science and Engineering