Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reply to Comment by Holas and March   The accompanying Comment by A. Holas and N. H. March [Phys. Rev. A {\bf 66},
066501 (2002)] is concerned with the issue of whether or not kinetic energy can
be represented by an effective local potential, as required for an exact
Thomas-Fermi theory equivalent to Kohn-Sham density-functional theory. They
dispute [R.K. Nesbet, Phys. Rev. A {\bf 65}, 010502(R) (2001)], which concludes
that for more than two electrons the use by Kohn and Sham of the Schr\"odinger
kinetic energy operator is variationally correct, while the equivalent local
potential required for a valid Thomas-Fermi theory, a Fr\'echet functional
derivative of the Kohn-Sham ground-state kinetic energy functional, does not
exist. The argument of Holas and March is clearly invalid for the simple
example of the lowest triplet state of a two-electron atom with noninteracting
electrons. Why this fails, as do earlier arguments in the literature, has been
explained in recent publications, summarized here.

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The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
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The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph