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Communication: Testing and using the Lewin-Lieb bounds in density functional theory

  • Author(s): Feinblum, DV
  • Kenison, J
  • Burke, K
  • et al.

Published Web Location

https://doi.org/10.1063/1.4904448Creative Commons Attribution 4.0 International Public License
Abstract

© 2014 AIP Publishing LLC. 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.

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