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)


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
Issue number5
Publication statusPublished - 1 Jan 1997


ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Condensed Matter Physics
  • Physical and Theoretical Chemistry

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