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Science China Mathematics

, Volume 62, Issue 1, pp 63–68 | Cite as

A mathematical aspect of Hohenberg-Kohn theorem

  • Aihui ZhouEmail author
Articles
  • 41 Downloads

Abstract

The Hohenberg-Kohn theorem plays a fundamental role in density functional theory, which has become the most popular and powerful computational approach to study the electronic structure of matter. In this article, we study the Hohenberg-Kohn theorem for a class of external potentials based on a unique continuation principle.

Keywords

density functional theory electronic structure unique continuation principle Hohenberg-Kohn theorem 

MSC(2010)

81V70 

Notes

Acknowledgements

This work was supported by National Natural Science Foundation of China (Grant Nos. 91730302, 9133202 and 11671389), and the Key Research Program of Frontier Sciences of the Chinese Academy of Sciences (Grant No. QYZDJ-SSW-SYS010). The author thanks Mr. Bing Yang for the useful discussion on the unique continuation property and the anonymous referees for their careful reviews and helpful suggestions that improved the presentation of this paper.

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Copyright information

© Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.LSEC, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems ScienceChinese Academy of SciencesBeijingChina
  2. 2.School of Mathematical SciencesUniversity of Chinese Academy of SciencesBeijingChina

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