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arXiv · 1202.0573

Harmonically trapped jellium

Pierre-François Loos·Peter M. W. Gill
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Abstract

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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Pierre-François Loos, Peter M. W. Gill. 2012-02-02. Harmonically trapped jellium. https://doi.org/10.1080/00268976.2012.679634

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