Abstract
A fermion ground state energy functional is set up in terms of particle density, relative pair density, and kinetic energy tensor density. It satisfies a minimum principle if constrained by a complete set of compatibility conditions. A partial set, which thereby results in a lower bound energy under minimization, is obtained from the solution of model systems, as well as a small number of exact sum rules. Prototypical application is made to several one-dimensional spinless noninteracting models. The effectiveness of "atomic" constraints on model "molecules" is observed, as well as the structure of systems with only finitely many bound states.
Original language | English (US) |
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Article number | 012508 |
Journal | Physical Review A - Atomic, Molecular, and Optical Physics |
Volume | 74 |
Issue number | 1 |
DOIs | |
State | Published - 2006 |
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics