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Correlation hole and physical properties: A model calculation
Author(s) -
Cohen Leon,
Lee Chongmoon
Publication year - 1986
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.560290315
Subject(s) - wave function , position (finance) , space (punctuation) , correlation , extension (predicate logic) , momentum (technical analysis) , position and momentum space , physics , correlation function (quantum field theory) , statistical physics , closeness , distribution (mathematics) , function (biology) , quantum mechanics , mathematics , mathematical analysis , geometry , finance , evolutionary biology , computer science , dielectric , economics , biology , programming language , linguistics , philosophy
The correlation hole of Coulson and Nielson and its extension to momentum space by Banyard and Reed is studied by using an exactly solvable model. For this model all relevant quantities pertaining to the correlation hole have been calculated exactly. We use this model to study the relationship between the fit to the correlation hole for an approximate wave function and the closeness of the approximate energies to the exact ones. We show that, although in general the better the fit the closer are the approximate physical quantities to the exact ones, there are exceptions where that is not the case. Also, we present a convenient method for the calculation of the two particle distribution in momentum space and generalize the concept of the correlation hole by defining it in the pseudophase space of position and momentum.