title: Communication: Testing and using the Lewin-Lieb bounds in density functional theory.
abstract: Lewin and Lieb have recently proven several new bounds on the exchange-correlation energy that complement the Lieb-Oxford bound. We test these bounds for atoms, for slowly-varying gases, and for Hooke's atom, finding them usually less strict than the Lieb-Oxford bound. However, we also show that, if a generalized gradient approximation is to guarantee satisfaction of the new bounds for all densities, new restrictions on the exchange-correlation enhancement factor are implied.
authors.affiliation: Department of Chemistry, University of California, Irvine, California 92697, USA.
authors.forename: David V
authors.initials: DV
authors.lastname: Feinblum
authors.affiliation: Department of Physics and Astronomy, University of California, Irvine, California 92697, USA.
authors.forename: John
authors.initials: J
authors.lastname: Kenison
authors.affiliation: Department of Chemistry, University of California, Irvine, California 92697, USA.
authors.forename: Kieron
authors.initials: K
authors.lastname: Burke