# Convergence of Levy–Lieb to Thomas–Fermi density functional

@article{Gottschling2018ConvergenceOL, title={Convergence of Levy–Lieb to Thomas–Fermi density functional}, author={Nina M. Gottschling and Phan Th{\`a}nh Nam}, journal={Calculus of Variations and Partial Differential Equations}, year={2018}, volume={57}, pages={1-13} }

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.

## 3 Citations

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