Pierre-François Loos, Peter M. W. Gill
We discuss the model of a $D$-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
$D$-dimensional Fermi gas.
View original:
http://arxiv.org/abs/1202.0573
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