dorsal/arxiv
View SchemaMutual information and electron correlation in momentum space
| Authors | Robin P. Sagar, Nicolais L. Guevara |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0602046 |
| URL | https://arxiv.org/abs/quant-ph/0602046 |
| DOI | 10.1063/1.2180777 |
| Journal | J. Chem. Phys. 124, 134101 (2006) |
Abstract
Mutual information and information entropies in momentum space are proposed as measures of the non-local aspects of information. Singlet and triplet state members of the helium isoelectronic series are employed to examine Coulomb and Fermi correlation, and their manifestations, in both the position and momentum space mutual information measures. The triplet state measures exemplify that the magnitude of the spatial correlations relative to the momentum correlations, depends on, and may be controlled by the strength of the electronic correlation. Examination of one and two-electron Shannon entropies in the triplet state series yields a crossover point, which is characterized by a localized momentum density. The mutual information density in momentum space illustrates that this localization is accompanied by strong correlation at small values of $p$.
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"abstract": "Mutual information and information entropies in momentum space are proposed\nas measures of the non-local aspects of information. Singlet and triplet state\nmembers of the helium isoelectronic series are employed to examine Coulomb and\nFermi correlation, and their manifestations, in both the position and momentum\nspace mutual information measures. The triplet state measures exemplify that\nthe magnitude of the spatial correlations relative to the momentum\ncorrelations, depends on, and may be controlled by the strength of the\nelectronic correlation. Examination of one and two-electron Shannon entropies\nin the triplet state series yields a crossover point, which is characterized by\na localized momentum density. The mutual information density in momentum space\nillustrates that this localization is accompanied by strong correlation at\nsmall values of $p$.",
"arxiv_id": "quant-ph/0602046",
"authors": [
"Robin P. Sagar",
"Nicolais L. Guevara"
],
"categories": [
"quant-ph"
],
"doi": "10.1063/1.2180777",
"journal_ref": "J. Chem. Phys. 124, 134101 (2006)",
"title": "Mutual information and electron correlation in momentum space",
"url": "https://arxiv.org/abs/quant-ph/0602046"
},
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