Kinetic energy functional derivative for the Thomas-Fermi atom in D dimensions

Norman H. March, Sabre Kais

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The self-consistent Thomas-Fermi atom satisfying Poisson's equation in D dimensions has a functional derivative of the kinetic energy T with respect to the ground-state density n(r) proportional to n2/D. But the Poisson equation relates n1-2/D to "reduced" density derivatives n-3(d2n/dr2). Thus δT/δn can be written also, quite compactly, solely in terms of these derivatives. An analytic solution to the Thomas-Fermi equation in D dimensions can be presented as an expansion about the known analytic solution at D = 2.

Original languageEnglish
Pages (from-to)411-413
Number of pages3
JournalInternational Journal of Quantum Chemistry
Volume65
Issue number5
Publication statusPublished - 1 Dec 1997
Externally publishedYes

Fingerprint

Poisson equation
Kinetic energy
kinetic energy
Derivatives
Atoms
atoms
Ground state
expansion
ground state

ASJC Scopus subject areas

  • Physical and Theoretical Chemistry

Cite this

Kinetic energy functional derivative for the Thomas-Fermi atom in D dimensions. / March, Norman H.; Kais, Sabre.

In: International Journal of Quantum Chemistry, Vol. 65, No. 5, 01.12.1997, p. 411-413.

Research output: Contribution to journalArticle

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