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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

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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.

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