The role of inequalities in the analysis of many-body systems

Jerome Percus

Research output: Contribution to journalArticle

Abstract

We discuss the strategy of determining properties of many-body systems by applying successively more stringent limitations on the domain on which solutions can lie, i.e., sharpening the degree of resolution of the results obtained. A rough division is made into universal, or system-independent inequalities and systemdependent ones, which are joined by equalities or sum rules. General examples include Fermion ground states and classical fluids in thermal equilibrium, and for the latter, the effect of estimation by saturating inequalities.

Original languageEnglish (US)
Pages (from-to)2996-3004
Number of pages9
JournalInternational Journal of Quantum Chemistry
Volume110
Issue number15
DOIs
StatePublished - Dec 2010

Fingerprint

Fermions
Ground state
Fluids
sum rules
division
fermions
ground state
fluids
Hot Temperature

Keywords

  • Density functional
  • Inequalities
  • Reduced density matrix

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Atomic and Molecular Physics, and Optics
  • Physical and Theoretical Chemistry

Cite this

The role of inequalities in the analysis of many-body systems. / Percus, Jerome.

In: International Journal of Quantum Chemistry, Vol. 110, No. 15, 12.2010, p. 2996-3004.

Research output: Contribution to journalArticle

@article{1642649cff0a4c94ab8768ef50424ba5,
title = "The role of inequalities in the analysis of many-body systems",
abstract = "We discuss the strategy of determining properties of many-body systems by applying successively more stringent limitations on the domain on which solutions can lie, i.e., sharpening the degree of resolution of the results obtained. A rough division is made into universal, or system-independent inequalities and systemdependent ones, which are joined by equalities or sum rules. General examples include Fermion ground states and classical fluids in thermal equilibrium, and for the latter, the effect of estimation by saturating inequalities.",
keywords = "Density functional, Inequalities, Reduced density matrix",
author = "Jerome Percus",
year = "2010",
month = "12",
doi = "10.1002/qua.22902",
language = "English (US)",
volume = "110",
pages = "2996--3004",
journal = "International Journal of Quantum Chemistry",
issn = "0020-7608",
publisher = "John Wiley and Sons Inc.",
number = "15",

}

TY - JOUR

T1 - The role of inequalities in the analysis of many-body systems

AU - Percus, Jerome

PY - 2010/12

Y1 - 2010/12

N2 - We discuss the strategy of determining properties of many-body systems by applying successively more stringent limitations on the domain on which solutions can lie, i.e., sharpening the degree of resolution of the results obtained. A rough division is made into universal, or system-independent inequalities and systemdependent ones, which are joined by equalities or sum rules. General examples include Fermion ground states and classical fluids in thermal equilibrium, and for the latter, the effect of estimation by saturating inequalities.

AB - We discuss the strategy of determining properties of many-body systems by applying successively more stringent limitations on the domain on which solutions can lie, i.e., sharpening the degree of resolution of the results obtained. A rough division is made into universal, or system-independent inequalities and systemdependent ones, which are joined by equalities or sum rules. General examples include Fermion ground states and classical fluids in thermal equilibrium, and for the latter, the effect of estimation by saturating inequalities.

KW - Density functional

KW - Inequalities

KW - Reduced density matrix

UR - http://www.scopus.com/inward/record.url?scp=77958110346&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77958110346&partnerID=8YFLogxK

U2 - 10.1002/qua.22902

DO - 10.1002/qua.22902

M3 - Article

VL - 110

SP - 2996

EP - 3004

JO - International Journal of Quantum Chemistry

JF - International Journal of Quantum Chemistry

SN - 0020-7608

IS - 15

ER -