Communications in Mathematical Physics

, Volume 184, Issue 1, pp 143–171 | Cite as

Pair Correlations and Exchange Phenomena in the Free Electron Gas

  • G. Friesecke


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.


Boundary Condition Free Electron Exchange Energy Mechanical Exchange Pair Correlation 
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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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