Recursion representation of gradient expansion for free fermion ground state in one dimension

L. Šamaj, J. K. Percus

Research output: Contribution to journalArticle

Abstract

We consider noninteracting Fermion system in an external field, confined to one-dimensional space. Our main objective is to take advantage of low dimension to find explicitly potential-density profile as well as kinetic energy functional in the ground state. This is accomplished by deriving the complete x-space linear response and a simple recursion representation of the gradient expansion for the kinetic energy. The results can serve as a potential test for higher dimensions, e.g., in exploring convergence properties of the gradient expansion in various regions of the energy spectrum.

Original languageEnglish (US)
Pages (from-to)1809-1814
Number of pages6
JournalJournal of Chemical Physics
Volume111
Issue number5
DOIs
StatePublished - Aug 1 1999

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry

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