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

J. K. Percus

doi:10.1002/qua.22902

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

J. K. Percus

Mathematics

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

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 language	English (US)
Pages (from-to)	2996-3004
Number of pages	9
Journal	International Journal of Quantum Chemistry
Volume	110
Issue number	15
DOIs	https://doi.org/10.1002/qua.22902
State	Published - Dec 2010

Keywords

Density functional
Inequalities
Reduced density matrix

ASJC Scopus subject areas

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

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10.1002/qua.22902

Cite this

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

Abstract

Keywords

ASJC Scopus subject areas

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