Model Hamiltonians and How to Determine their Parameters

  • K. Schönhammer
  • O. Gunnarsson
Part of the NATO ASI Series book series (NSSB, volume 184)


It is straightforward to write down the Hamiltonian for the electrons in molecules or solids within the Born-Oppenheimer approximation for the nuclei. Unfortunately the resulting electronic many-body problem is notoriously hard to solve. The idea of mean field theory has therefore very early been used in attempts to perform reasonable calculations for the properties of atoms and molecules.1 In quantum chemistry a Hartree-Fock calculation is the usual starting point for configuration interaction (CI) calculations, which can yield very accurate results for small molecules. As this technique is not very well suited for solids, the Hohenberg-Kohn-Sham density functional theory (DFT) represented a major step forward.2 These authors showed that the calculation of ground state properties can be formally exactly reduced to a problem of non-interacting electrons in an effective potential veff.


Spectral Function Core Level Spectrum Anderson Impurity Model Screen Mechanism Anderson Impurity 
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Copyright information

© Plenum Press, New York 1988

Authors and Affiliations

  • K. Schönhammer
    • 1
  • O. Gunnarsson
    • 2
  1. 1.Institut für Theoretische PhysikUniversitat GöttingenGöttingenWest Germany
  2. 2.Max-Planck-Institut für FestkörperforschungStuttgart 80West Germany

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