Convergence of Levy-Lieb to Thomas-Fermi density functional

Gottschling, Nina und Nam, Phan Thanh (2018): Convergence of Levy-Lieb to Thomas-Fermi density functional. In: Calculus of Variations and Partial Differential Equations, Bd. 57, Nr. 6, 146

Abstract

We prove that the Levy-Lieb density functional Gamma-converges to the Thomas-Fermi functional in the semiclassical mean-field limit. In particular, this aides an easy alternative proof of the validity of the atomic Thomas-Fermi theory which was first established by Lieb and Simon.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 0944-2669
• Sprache: Englisch