Harmonically trapped jellium

Pierre Franois Loos; Peter M.W. Gill

doi:10.1080/00268976.2012.679634

Harmonically trapped jellium

Pierre Franois Loos
, Peter M.W. Gill^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

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.

Original language	English
Pages (from-to)	2337-2342
Number of pages	6
Journal	Molecular Physics
Volume	110
Issue number	19-20
DOIs	https://doi.org/10.1080/00268976.2012.679634
Publication status	Published - 1 Oct 2012

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title = "Harmonically trapped jellium",

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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AU - Loos, Pierre Franois

AU - Gill, Peter M.W.

PY - 2012/10/1

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N2 - 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.

AB - 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.

KW - electron gas

KW - exchange density

KW - jellium

KW - kinetic energy

UR - https://www.scopus.com/pages/publications/84868359629

U2 - 10.1080/00268976.2012.679634

DO - 10.1080/00268976.2012.679634

M3 - Article

SN - 0026-8976

VL - 110

SP - 2337

EP - 2342

JO - Molecular Physics

JF - Molecular Physics

IS - 19-20

ER -

Harmonically trapped jellium

Abstract

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