Testing and Using the Lewin-Lieb Bound in Density Functional Theory

David V. Feinblum; John Kenison; Kieron Burke

doi:10.1063/1.4904448

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arXiv · 1410.7838

Testing and Using the Lewin-Lieb Bound in Density Functional Theory

David V. Feinblum·John Kenison·Kieron Burke

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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 (GGA) is to guarantee satisfaction of the new bounds for all densities, new restrictions on the the exchange-correlation enhancement factor are implied.

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David V. Feinblum, John Kenison, Kieron Burke. 2014-12-06. Testing and Using the Lewin-Lieb Bound in Density Functional Theory. https://doi.org/10.1063/1.4904448

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