Improved lower bound on the indirect coulomb energy

Elliott H. Lieb; Stephen Oxford

doi:10.1007/3-540-27056-6_4

Improved lower bound on the indirect coulomb energy

Elliott H. Lieb
, Stephen Oxford

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

For a Coulomb system of particles of charge e, it has previously been shown that the indirect part of the repulsive Coulomb energy (exchange plus correlation energy) has a lower bound of the form -Ce^2/3∫ρ(x) ^4/3 dx, where ρ is the single particle charge density. Here we lower the constant C from the 8.52 previously given to 1.68. We also show that the best possible C is greater than 1.23.

Original language	English (US)
Title of host publication	The Stability of Matter
Subtitle of host publication	From Atoms to Stars: Fourth Edition
Publisher	Springer Berlin Heidelberg
Pages	65-77
Number of pages	13
ISBN (Print)	3540420835, 9783540222125
DOIs	https://doi.org/10.1007/3-540-27056-6_4
State	Published - 2005

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1007/3-540-27056-6_4

Cite this

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title = "Improved lower bound on the indirect coulomb energy",

abstract = "For a Coulomb system of particles of charge e, it has previously been shown that the indirect part of the repulsive Coulomb energy (exchange plus correlation energy) has a lower bound of the form -Ce2/3∫ρ(x) 4/3 dx, where ρ is the single particle charge density. Here we lower the constant C from the 8.52 previously given to 1.68. We also show that the best possible C is greater than 1.23.",

author = "Lieb, \{Elliott H.\} and Stephen Oxford",

year = "2005",

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TY - CHAP

T1 - Improved lower bound on the indirect coulomb energy

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AU - Oxford, Stephen

PY - 2005

Y1 - 2005

N2 - For a Coulomb system of particles of charge e, it has previously been shown that the indirect part of the repulsive Coulomb energy (exchange plus correlation energy) has a lower bound of the form -Ce2/3∫ρ(x) 4/3 dx, where ρ is the single particle charge density. Here we lower the constant C from the 8.52 previously given to 1.68. We also show that the best possible C is greater than 1.23.

AB - For a Coulomb system of particles of charge e, it has previously been shown that the indirect part of the repulsive Coulomb energy (exchange plus correlation energy) has a lower bound of the form -Ce2/3∫ρ(x) 4/3 dx, where ρ is the single particle charge density. Here we lower the constant C from the 8.52 previously given to 1.68. We also show that the best possible C is greater than 1.23.

UR - https://www.scopus.com/pages/publications/84892222247

UR - https://www.scopus.com/pages/publications/84892222247#tab=citedBy

U2 - 10.1007/3-540-27056-6_4

DO - 10.1007/3-540-27056-6_4

M3 - Chapter

AN - SCOPUS:84892222247

SN - 3540420835

SN - 9783540222125

SP - 65

EP - 77

BT - The Stability of Matter

PB - Springer Berlin Heidelberg

ER -

Improved lower bound on the indirect coulomb energy

Abstract

All Science Journal Classification (ASJC) codes

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