Convergence of Levy-Lieb to Thomas-Fermi density functional

Gottschling, Nina and Nam, Phan Thanh (2018): Convergence of Levy-Lieb to Thomas-Fermi density functional. In: Calculus of Variations and Partial Differential Equations, Vol. 57, No. 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.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 0944-2669
• Language: English