On the trail of the 2-body reduced density matrix

Jerome Percus

Research output: Contribution to journalArticle

Abstract

A brief review is made of developments in the theory of reduced density matrix estimation of fermion system properties, to which John Coleman contributed enormously. Emphasis is placed upon those constraints that are peculiar to the system in question, as well as to those of "universal" validity. The former are typically obtained by following the consequences of the insertion or deletion of one of the particles of the system, and, for example, the PY equation of classical fluid theory is identified as the "saturation" of a valid inequality. An analogous process for fermion systems is introduced but not carried out very far.

Original languageEnglish (US)
Pages (from-to)2-7
Number of pages6
JournalComputational and Theoretical Chemistry
Volume1003
DOIs
StatePublished - Jan 1 2013

Fingerprint

Fermions
fermions
deletion
insertion
saturation
Fluids
fluids

Keywords

  • Pseudo-density matrix
  • Reduced density matrix
  • System-dependent inequalities

ASJC Scopus subject areas

  • Physical and Theoretical Chemistry
  • Biochemistry
  • Condensed Matter Physics

Cite this

On the trail of the 2-body reduced density matrix. / Percus, Jerome.

In: Computational and Theoretical Chemistry, Vol. 1003, 01.01.2013, p. 2-7.

Research output: Contribution to journalArticle

@article{863e507654854492ae3303319c9fc30e,
title = "On the trail of the 2-body reduced density matrix",
abstract = "A brief review is made of developments in the theory of reduced density matrix estimation of fermion system properties, to which John Coleman contributed enormously. Emphasis is placed upon those constraints that are peculiar to the system in question, as well as to those of {"}universal{"} validity. The former are typically obtained by following the consequences of the insertion or deletion of one of the particles of the system, and, for example, the PY equation of classical fluid theory is identified as the {"}saturation{"} of a valid inequality. An analogous process for fermion systems is introduced but not carried out very far.",
keywords = "Pseudo-density matrix, Reduced density matrix, System-dependent inequalities",
author = "Jerome Percus",
year = "2013",
month = "1",
day = "1",
doi = "10.1016/j.comptc.2012.09.023",
language = "English (US)",
volume = "1003",
pages = "2--7",
journal = "Computational and Theoretical Chemistry",
issn = "2210-271X",
publisher = "Elsevier BV",

}

TY - JOUR

T1 - On the trail of the 2-body reduced density matrix

AU - Percus, Jerome

PY - 2013/1/1

Y1 - 2013/1/1

N2 - A brief review is made of developments in the theory of reduced density matrix estimation of fermion system properties, to which John Coleman contributed enormously. Emphasis is placed upon those constraints that are peculiar to the system in question, as well as to those of "universal" validity. The former are typically obtained by following the consequences of the insertion or deletion of one of the particles of the system, and, for example, the PY equation of classical fluid theory is identified as the "saturation" of a valid inequality. An analogous process for fermion systems is introduced but not carried out very far.

AB - A brief review is made of developments in the theory of reduced density matrix estimation of fermion system properties, to which John Coleman contributed enormously. Emphasis is placed upon those constraints that are peculiar to the system in question, as well as to those of "universal" validity. The former are typically obtained by following the consequences of the insertion or deletion of one of the particles of the system, and, for example, the PY equation of classical fluid theory is identified as the "saturation" of a valid inequality. An analogous process for fermion systems is introduced but not carried out very far.

KW - Pseudo-density matrix

KW - Reduced density matrix

KW - System-dependent inequalities

UR - http://www.scopus.com/inward/record.url?scp=84871771318&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84871771318&partnerID=8YFLogxK

U2 - 10.1016/j.comptc.2012.09.023

DO - 10.1016/j.comptc.2012.09.023

M3 - Article

VL - 1003

SP - 2

EP - 7

JO - Computational and Theoretical Chemistry

JF - Computational and Theoretical Chemistry

SN - 2210-271X

ER -