Pair correlations and exchange phenomena in the free electron gas

G. Friesecke

doi:10.1007/s002200050056

Pair correlations and exchange phenomena in the free electron gas

G. Friesecke

ETH Zurich

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

20 Scopus citations

Abstract

We present a rigorous derivation of the formulae of Dirac-Bloch and Wigner-Seitz for the quantum mechanical exchange energy and the 'exchange hole' of the free electron gas. More precisely we establish that for arbitrary determinantal ground states of the underlying finite system of N free electrons in a box, subject to periodic or zero boundary conditions, the formulae are accurate to order N^-1/3 (per electron) and N^-1/2 respectively.

Original language	English
Pages (from-to)	143-171
Number of pages	29
Journal	Communications in Mathematical Physics
Volume	184
Issue number	1
DOIs	https://doi.org/10.1007/s002200050056
State	Published - 1997
Externally published	Yes

Access to Document

10.1007/s002200050056

Cite this

@article{66c557acce9249ae86ae4c25f64a2f9e,

title = "Pair correlations and exchange phenomena in the free electron gas",

abstract = "We present a rigorous derivation of the formulae of Dirac-Bloch and Wigner-Seitz for the quantum mechanical exchange energy and the 'exchange hole' of the free electron gas. More precisely we establish that for arbitrary determinantal ground states of the underlying finite system of N free electrons in a box, subject to periodic or zero boundary conditions, the formulae are accurate to order N-1/3 (per electron) and N-1/2 respectively.",

author = "G. Friesecke",

note = "Funding Information: This work was partially supported by NREL Grant No. NDJ-1-30630-02.",

year = "1997",

doi = "10.1007/s002200050056",

language = "English",

volume = "184",

pages = "143--171",

journal = "Communications in Mathematical Physics",

issn = "0010-3616",

publisher = "Springer New York",

number = "1",

}

TY - JOUR

T1 - Pair correlations and exchange phenomena in the free electron gas

AU - Friesecke, G.

N1 - Funding Information: This work was partially supported by NREL Grant No. NDJ-1-30630-02.

PY - 1997

Y1 - 1997

N2 - We present a rigorous derivation of the formulae of Dirac-Bloch and Wigner-Seitz for the quantum mechanical exchange energy and the 'exchange hole' of the free electron gas. More precisely we establish that for arbitrary determinantal ground states of the underlying finite system of N free electrons in a box, subject to periodic or zero boundary conditions, the formulae are accurate to order N-1/3 (per electron) and N-1/2 respectively.

AB - We present a rigorous derivation of the formulae of Dirac-Bloch and Wigner-Seitz for the quantum mechanical exchange energy and the 'exchange hole' of the free electron gas. More precisely we establish that for arbitrary determinantal ground states of the underlying finite system of N free electrons in a box, subject to periodic or zero boundary conditions, the formulae are accurate to order N-1/3 (per electron) and N-1/2 respectively.

UR - http://www.scopus.com/inward/record.url?scp=0031546440&partnerID=8YFLogxK

U2 - 10.1007/s002200050056

DO - 10.1007/s002200050056

M3 - Article

AN - SCOPUS:0031546440

SN - 0010-3616

VL - 184

SP - 143

EP - 171

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 1

ER -

Pair correlations and exchange phenomena in the free electron gas

Abstract

Access to Document

Other files and links

Fingerprint

Cite this