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Connections between variation principles at the interface of wave-function and density-functional theories

Irons, Tom J P; Furness, James W.; Ryley, Matthew S.; Zemen, Jan; Helgaker, Trygve; Teale, Andrew Michael
Journal article; PublishedVersion; Peer reviewed
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JChemPhys_147_134107_2017.pdf (356.9Kb)
Year
2017
Permanent link
http://urn.nb.no/URN:NBN:no-62935

CRIStin
1536109

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  • Kjemisk institutt [845]
  • CRIStin høstingsarkiv [16059]
Original version
Journal of Chemical Physics. 2017, 147 (13), DOI: http://dx.doi.org/10.1063/1.4985883
Abstract
A recently proposed variation principle [N. I. Gidopoulos, Phys. Rev. A 83, 040502(R) (2011)] for the determination of Kohn–Sham effective potentials is examined and extended to arbitrary electron-interaction strengths and to mixed states. Comparisons are drawn with Lieb’s convex-conjugate functional, which allows for the determination of a potential associated with a given electron density by maximization, yielding the Kohn–Sham potential for a non-interacting system. The mathematical structure of the two functionals is shown to be intrinsically related; the variation principle put forward by Gidopoulos may be expressed in terms of the Lieb functional. The equivalence between the information obtained from the two approaches is illustrated numerically by their implementation in a common framework.

This article was originally published in the Journal of Chemical Physics. © 2017 AIP Publishing
 
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