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Corollary to the Hohenberg-Kohn Theorem

Xiao-Yin Pan·Viraht Sahni
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Abstract

In this paper we construct such a set of `degenerate' Hamiltonians $\hat{H}$, which differ by an `intrinsic' constant but represent different physical systems yet possess the same ground state density. . Thus, although the proof of Hohenberg-Kohn (HK) theorem is independent of whether the constant $C$ is additive or intrinsic, its applicability is restricted to excluding the case of the latter. This constitutes the corollary to the theorem.The corollary has also been extended to the time-dependent version of the HK theorem.

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Xiao-Yin Pan, Viraht Sahni. 2003-01-05. Corollary to the Hohenberg-Kohn Theorem. https://arxiv.org/abs/cond-mat/0209688

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