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Article Dans Une Revue Physical Review A : Atomic, molecular, and optical physics [1990-2015] Année : 2015

Improved Lieb-Oxford exchange-correlation inequality with gradient correction

Résumé

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, Bley and Loss, except that the correction term is purely local, which is more usual in density functional theory.

Dates et versions

hal-01070603 , version 1 (01-10-2014)

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Mathieu Lewin, Elliott H. Lieb. Improved Lieb-Oxford exchange-correlation inequality with gradient correction. Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2015, 91 (2), pp.022507. ⟨10.1103/PhysRevA.91.022507⟩. ⟨hal-01070603⟩
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