Harmonically trapped jellium
Chemical Physics
2015-06-04 v1 Other Condensed Matter
Quantum Gases
Strongly Correlated Electrons
Abstract
We discuss the model of a -dimensional confined electron gas in which the particles are trapped by a harmonic potential. In particular, we study the non-interacting kinetic and exchange energies of finite-size inhomogeneous systems, and compare the resulting Thomas-Fermi and Dirac coefficients with various uniform electron gas paradigms. We show that, in the thermodynamic limit, the properties of this model are identical to those of the -dimensional Fermi gas.
Cite
@article{arxiv.1202.0573,
title = {Harmonically trapped jellium},
author = {Pierre-François Loos and Peter M. W. Gill},
journal= {arXiv preprint arXiv:1202.0573},
year = {2015}
}
Comments
6 pages, 2 figures, 1 table, invited paper for Peter Taylor's 60th anniversary, submitted to Molecular Physics