Convergence of Levy–Lieb to Thomas–Fermi density functional

@article{Gottschling2018ConvergenceOL,
  title={Convergence of Levy–Lieb to Thomas–Fermi density functional},
  author={Nina Gottschling and P. Nam},
  journal={Calculus of Variations and Partial Differential Equations},
  year={2018},
  volume={57},
  pages={1-13}
}
  • Nina Gottschling, P. Nam
  • Published 2018
  • Mathematics, Physics
  • Calculus of Variations and Partial Differential Equations
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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