Harmonically trapped jellium

Details Harmonically trapped jellium Harmonically trapped jellium

2012-02-02

arxiv.org/abs/1202.0573v1

Physics

Chemical Physics

6 pages, 2 figures, 1 table, invited paper for Peter Taylor's 60th anniversary, submitted to Molecular Physics

Scientific paper

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.

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