Correlated fermionic densities for many harmonically trapped particles interacting with repulsive forces
Faculty of Sciences. Physics
Physics letters: A. - Amsterdam, 1967, currens
, p. 2480-2482
University of Antwerp
This study is motivated by the very recent work on correlation energy as approximated by the ThomasFermi (TF) semiclassical limit [B.R. Landry, et al., Phys. Rev. Lett. 103 (2009) 066401]. In contrast, and motivated by the HohenbergKohn theorem, our work is focussed primarily on the correlated TF ground-state density. We invoke directly the Holas et al. result that for two-fermion systems with harmonic trapping, the fermionfermion interaction u simply adds to the trapping potential. We conclude this report with some results on correlation kinetic energy for two-fermion systems.