Hohenberg-Kohn Theorem for Coulomb Type Systems

Details Hohenberg-Kohn Theorem for Coulomb Type Systems Hohenberg-Kohn Theorem for Coulomb Type Systems

2011-08-23

arxiv.org/abs/1108.4517v1

Physics

Quantum Physics

Scientific paper

Density functional theory (DFT) has become a basic tool for the study of electronic structure of matter, in which the Hohenberg-Kohn theorem plays a fundamental role in the development of DFT. Unfortunately, the existing proofs are incomplete even incorrect; besides, the statement of the Hohenberg-Kohn theorem for many-electron Coulomb systems is not perfect. In this paper, we shall restate the Hohenberg-Kohn theorem for Coulomb type systems and present a rigorous proof by using the Fundamental Theorem of Algebra.

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