Spin-polarized Thomas–Fermi theory

DOI10.1063/1.528011zbMath0649.35082OpenAlexW2083591730MaRDI QIDQ3794631

Gisèle Ruiz Rieder, Jerome A. Goldstein

Publication date: 1988

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528011

zbMATH Keywords

Euler-Lagrange equationsminimization problemkinetic energyspinunique solutionThomas-Fermi problemcoupled system of nonlinear elliptic differential equationselectron- electron repulsionelectron-nuclear attractionspin-polarized theoryThomas Fermi energy functional for a spin polarized system

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Nonlinear elliptic equations (35J60) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (1)

A convex minorant problem arising in electron density theory

Cites Work

• On some properties of the solution of the Thomas–Fermi problem

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