Optimized effective potentials from electron densities in finite basis sets.

Journal Article (Journal Article)

The Wu-Yang method for determining the optimized effective potential (OEP) and implicit density functionals from a given electron density is revisited to account for its ill-posed nature, as recently done for the direct minimization method for OEP's from a given orbital functional [T. Heaton-Burgess, F. A. Bulat, and W. Yang, Phys. Rev. Lett. 98, 256401 (2007)]. To address the issues on the general validity and practical applicability of methods that determine the Kohn-Sham (local) multiplicative potential in a finite basis expansion, a new functional is introduced as a regularized version of the original work of Wu and Yang. It is shown that the unphysical, highly oscillatory potentials that can be obtained when unbalanced basis sets are used are the controllable manifestation of the ill-posed nature of the problem. The new method ensures that well behaved potentials are obtained for arbitrary basis sets.

Full Text

Duke Authors

Cited Authors

  • Bulat, FA; Heaton-Burgess, T; Cohen, AJ; Yang, W

Published Date

  • November 2007

Published In

Volume / Issue

  • 127 / 17

Start / End Page

  • 174101 -

PubMed ID

  • 17994801

Pubmed Central ID

  • 17994801

Electronic International Standard Serial Number (EISSN)

  • 1089-7690

International Standard Serial Number (ISSN)

  • 0021-9606

Digital Object Identifier (DOI)

  • 10.1063/1.2800021


  • eng