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 language | English (US) |
|---|---|
| Pages (from-to) | 1809-1814 |
| Number of pages | 6 |
| Journal | Journal of Chemical Physics |
| Volume | 111 |
| Issue number | 5 |
| DOIs | |
| State | Published - Aug 1 1999 |
ASJC Scopus subject areas
- General Physics and Astronomy
- Physical and Theoretical Chemistry