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On the additivity and interference of interactions
Author(s) -
Mayer I.
Publication year - 1992
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.560440868
Subject(s) - additive function , eigenvalues and eigenvectors , simple (philosophy) , interference (communication) , additive model , perturbation theory (quantum mechanics) , perturbation (astronomy) , mathematics , statistical physics , matrix (chemical analysis) , computational chemistry , computer science , chemistry , physics , quantum mechanics , statistics , mathematical analysis , telecommunications , philosophy , channel (broadcasting) , epistemology , chromatography
There is a very simple criterion showing whether two (or more) Hamiltonians describe strictly additive effects. Based on this criterion, an attempt is made to develop techniques that would permit treatment of different not strictly additive interactions by separating out their components, which can be considered strictly additive, and describing the nonadditive (interference) effects as some perturbation. As a first result, a promising scheme has been developed for estimating matrix eigenvalues by an ∼ N 2 procedure. © 1992 John Wiley & Sons, Inc.