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Mathematical Aspects of Density Functionals and Density Matrix Functionals in Quantum Chemistry

  • Volker Bach
Chapter
Part of the Mathematical Physics Studies book series (MPST)

Abstract

An overview on mathematical rigorously proven results on the ground state energy and the ground state of atoms and molecules is given. Three different approximations for the exchange correlations—the Hartree–Fock approximation, the local density approximation, and the Müller approximation—are defined and discussed. The G-, P-, Q-Conditions and also the \(T_1\)- and \(T_2\)-Conditons deriving from \(N\)-representability are introduced and used to derive lower bounds on the ground state energy.

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Institut fuer Analysis und Algebra, Carl-Friedrich-Gauss-FakultaetTechnische Universitaet BraunschweigBraunschweigGermany

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