Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Corollary to the Hohenberg-Kohn Theorem   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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The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-th
18
The categories of this paper are: econ
2
The categories of this paper are: math
12
The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
1
The categories of this paper are: cs
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: physics
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The categories of this paper are: patt-sol