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Shannon entropy and many‐electron correlations: Theoretical concepts, numerical results, and Collins conjecture
Author(s) -
Delle Site Luigi
Publication year - 2015
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.24823
Subject(s) - statistical physics , conjecture , monte carlo method , entropy (arrow of time) , electronic correlation , quantum monte carlo , series (stratigraphy) , theoretical physics , electron , mathematics , physics , quantum mechanics , discrete mathematics , statistics , geology , paleontology
In this article, I will discuss the overlap between the concept of Shannon entropy and the concept of electronic correlation. Quantum Monte Carlo numerical results for the uniform electron gas are also presented; these latter on the one hand enhance the hypothesis of a direct link between the two concepts but on the other hand leave a series of open questions which may be used to trace a roadmap for the future research in the field. © 2014 Wiley Periodicals, Inc.