Fermion Correlation Inequalities derived from G- and P-Conditions
Volker Bach, Hans Konrad Kn\"orr, Edmund Menge
TL;DR
This paper demonstrates that certain representability conditions imply fermion correlation inequalities, which are crucial for bounding the accuracy of the Hartree-Fock approximation in large Coulomb systems.
Contribution
It establishes a link between G- and P-Conditions and fermion correlation inequalities, providing new insights into the accuracy of Hartree-Fock methods.
Findings
G- and P-Conditions imply fermion correlation estimates
Fermion correlation inequalities lead to bounds on Hartree-Fock accuracy
Results applicable to large Coulomb systems
Abstract
It is shown in this paper that the G-Condition and the P-Condition from representability imply the fermion correlation estimate from [1] which, in turn, is known to yield a nontrivial bound on the accuracy of the Hartree-Fock approximation for large Coulomb systems.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Rare-earth and actinide compounds · Quantum Chromodynamics and Particle Interactions