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Improved Lieb-Oxford exchange-correlation inequality with a gradient correction

Improved Lieb-Oxford exchange-correlation inequality with a gradient correction

We prove a Lieb-Oxford-type inequality on the indirect part of the Coulomb energy of a general many-particle quantum state, with a lower constant than the original statement but involving an additional gradient correction. The result is similar to a recent inequality of Benguria et al. [Int. J. Quantum Chem. 112, …