Communications in Mathematical Physics

, Volume 184, Issue 1, pp 143–171

Pair Correlations and Exchange Phenomena in the Free Electron Gas

  • G. Friesecke

Abstract:

We present a rigorous derivation of the formulae of Dirac-Bloch and Wigner-Seitz for the quantum mechanical exchange energy and the ‘exchange hole’ of the free electron gas. More precisely we establish that for arbitrary determinantal ground states of the underlying finite system of N free electrons in a box, subject to periodic or zero boundary conditions, the formulae are accurate to order \(N^{-1/3}\) (per electron) and \(N^{-1/2}\) respectively.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • G. Friesecke
    • 1
  1. 1.Departement Mathematik, ETH Zürich, Rämistr. 101, CH-8092 Zürich, SwitzerlandCH

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