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The role of inequalities in the analysis of many‐body systems
Author(s) -
Percus J. K.
Publication year - 2010
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.22902
Subject(s) - sharpening , quantum , inequality , division (mathematics) , domain (mathematical analysis) , quantum system , statistical physics , mathematics , resolution (logic) , degree (music) , theoretical physics , computer science , physics , mathematical analysis , quantum mechanics , artificial intelligence , arithmetic , acoustics
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 system‐dependent 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. © 2010 Wiley Periodicals, Inc. Int J Quantum Chem, 2010