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.
Mathematics in Science and Engineering
Bénilan, P., Goldstein, J., & Rieder, G. (1992). The Fermi-Amaldi Correction in Spin Polarized Thomas-Fermi Theory. Mathematics in Science and Engineering, 186 (C), 25-37. https://doi.org/10.1016/S0076-5392(08)63373-1