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Exact Exchange-Correlation Functional for the Infinitely Stretched Hydrogen Molecule

Chemical Physics 2017-11-16 v1

Abstract

The exchange-correlation hole density of the infinitely stretched (dissociated) hydrogen molecule can be cast into a closed analytical form by using its exact wave function. This permits to obtain an explicit exchange-correlation energy functional of the electron density which allows for its functional derivation to yield the corresponding Kohh-Sham effective exchange-correlation potential. We have shown that this exchange-correlation functional is exact for the dissociated hydrogen molecule, yields its dissociation energy correctly, and its corresponding exchange-correlation potential has the correct 1/r-1/r asymptotic behavior.

Keywords

Cite

@article{arxiv.1608.02553,
  title  = {Exact Exchange-Correlation Functional for the Infinitely Stretched Hydrogen Molecule},
  author = {Eduard Matito and David Casanova and Xabier Lopez and Jesus M. Ugalde},
  journal= {arXiv preprint arXiv:1608.02553},
  year   = {2017}
}

Comments

8 pages, 1 figure

R2 v1 2026-06-22T15:15:12.075Z