Exchange energy of an electron gas of arbitrary dimensionality

M.L. Glasser; J. Boersma

doi:10.1137/0143034

Exchange energy of an electron gas of arbitrary dimensionality

M.L. Glasser, J. Boersma

Mathematics and Computer Science

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

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Abstract

Procedures are presented for obtaining the complete low temperature asymptotic behavior of fractional integrals (of Riemann–Liouville type) of squares of Fermi–Dirac integrals. These integrals occur in consideration of the properties of electron systems. The development is presented in the context of calculating the exchange thermodynamic potential for a $d$-dimensional neutralized homogeneous electron gas interacting via a $1/r$ potential.

Original language	English
Pages (from-to)	535-545
Journal	SIAM Journal on Applied Mathematics
Volume	43
Issue number	3
DOIs	https://doi.org/10.1137/0143034
Publication status	Published - 1983

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title = "Exchange energy of an electron gas of arbitrary dimensionality",

abstract = "Procedures are presented for obtaining the complete low temperature asymptotic behavior of fractional integrals (of Riemann–Liouville type) of squares of Fermi–Dirac integrals. These integrals occur in consideration of the properties of electron systems. The development is presented in the context of calculating the exchange thermodynamic potential for a $d$-dimensional neutralized homogeneous electron gas interacting via a $1/r$ potential.",

author = "M.L. Glasser and J. Boersma",

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T1 - Exchange energy of an electron gas of arbitrary dimensionality

AU - Glasser, M.L.

AU - Boersma, J.

PY - 1983

Y1 - 1983

N2 - Procedures are presented for obtaining the complete low temperature asymptotic behavior of fractional integrals (of Riemann–Liouville type) of squares of Fermi–Dirac integrals. These integrals occur in consideration of the properties of electron systems. The development is presented in the context of calculating the exchange thermodynamic potential for a $d$-dimensional neutralized homogeneous electron gas interacting via a $1/r$ potential.

AB - Procedures are presented for obtaining the complete low temperature asymptotic behavior of fractional integrals (of Riemann–Liouville type) of squares of Fermi–Dirac integrals. These integrals occur in consideration of the properties of electron systems. The development is presented in the context of calculating the exchange thermodynamic potential for a $d$-dimensional neutralized homogeneous electron gas interacting via a $1/r$ potential.

U2 - 10.1137/0143034

DO - 10.1137/0143034

M3 - Article

VL - 43

SP - 535

EP - 545

JO - SIAM Journal on Applied Mathematics

JF - SIAM Journal on Applied Mathematics

SN - 0036-1399

IS - 3

ER -

Exchange energy of an electron gas of arbitrary dimensionality

Abstract

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