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Challenging the Lieb–Oxford bound in a systematic way

Seidl, Michael ; Vuckovic, Stefan ; Gori-Giorgi, Paola


The Lieb-Oxford bound, a nontrivial inequality for the indirect part of the many-body Coulomb repulsion in an electronic system, plays an important role in the construction of approximations in density functional theory. Using the wave function for strictly correlated electrons of a given density, we turn the search over wave functions appearing in the original bound into a more manageable search ...


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