Article

Inventiones mathematicae

, Volume 97, Issue 1, pp 159-193

On the leading correction of the Thomas-Fermi model: Lower bound

  • Heinz SiedentopAffiliated withCarolo-Wilhelmina, Institut für Mathematische Physik
  • , Rudi WeikardAffiliated withCarolo-Wilhelmina, Institut für Mathematische Physik
  • , A. M. Klaus MüllerAffiliated withCarolo-Wilhelmina, Institut für Mathematische Physik

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Summary

We prove that the quantum mechanical ground state energy of an atom with nuclear chargeZ can be bounded from below by the sum of the Thomas-Fermi energy of the problem plusq/8Z 2 plus terms of ordero(Z 2 ).