Reply to Lindgren and Salomonson

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dc.creatorNesbet, R. K.
dc.date2003-09-29
dc.date.accessioned2026-07-07T05:50:06Z
dc.date.available2026-07-07T05:50:06Z
dc.descriptionIn the accompanying Comment [Phys. Rev. A {\bf 67}, 056501 (2003)], I. Lindgren and S. Salomonson claim to prove for the Kohn-Sham kinetic energy functional of ground state electron density that a Frëchet functional derivative exists, equivalent to a multiplicative local potential function. If true, this result would imply an exact Thomas-Fermi theory for ground states of noninteracting electrons. However, such a theory is not consistent with the exclusion principle for more than one electron of each spin. The simplest counterexample is the lowest triplet state of a noninteracting two-electron atom. If only the total electron density were normalized, as in Thomas-Fermi theory, the lowest state would collapse into a doubly-occupied $1s$ spin-orbital. Two independent parameters $ε_{1s}$ and $ε_{2s}$ are required to maintain independent subshell normalization. The argument presented by these authors is discussed in the light of this unphysical implication.
dc.description2pp
dc.identifierhttps://arxiv.org/abs/physics/0309121
dc.identifierhttp://arxiv.org/abs/physics/0309121
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/85613
dc.subjectAtomic Physics
dc.subjectCondensed Matter
dc.subjectChemical Physics
dc.subjectComputational Physics
dc.titleReply to Lindgren and Salomonson
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