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

J. K. Percus

Research output: Contribution to journalArticlepeer-review


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
Issue number15
StatePublished - Dec 2010


  • 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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