Convergence of Levy–Lieb to Thomas–Fermi density functional

Nina Gottschling; Phan Thành Nam

doi:10.1007/s00526-018-1430-y

Convergence of Levy–Lieb to Thomas–Fermi density functional

Nina Gottschling
, Phan Thành Nam

Quantum Communications and Networking

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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.

Original language	English
Article number	146
Journal	Calculus of Variations and Partial Differential Equations
Volume	57
Issue number	6
DOIs	https://doi.org/10.1007/s00526-018-1430-y
State	Published - Dec 1 2018

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title = "Convergence of Levy–Lieb to Thomas–Fermi density functional",

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.",

author = "Nina Gottschling and Nam, \{Phan Th{\`a}nh\}",

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AU - Gottschling, Nina

AU - Nam, Phan Thành

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N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/85053834818

U2 - 10.1007/s00526-018-1430-y

DO - 10.1007/s00526-018-1430-y

M3 - Article

AN - SCOPUS:85053834818

SN - 0944-2669

VL - 57

JO - Calculus of Variations and Partial Differential Equations

JF - Calculus of Variations and Partial Differential Equations

IS - 6

M1 - 146

ER -

Convergence of Levy–Lieb to Thomas–Fermi density functional

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