Mutual information and electron correlation in momentum space

The Journal of Chemical Physics
Robin P Sagar, Nicolais L Guevara

Abstract

Mutual information and information entropies in momentum space are proposed as measures of the nonlocal aspects of information. Singlet and triplet state members of the helium isoelectronic series are employed to examine Coulomb and Fermi correlations, 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. The 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.

References

Nov 1, 1985·Physical Review A: General Physics·S R GadreR D Bendale
Feb 1, 1986·Physical Review A: General Physics·S R Gadre, S J Chakravorty
Apr 15, 1987·Physical Review A: General Physics·J L KrauseR S Berry
Jul 13, 2004·Physical Review Letters·R W van BoeyenM A Coplan
Jul 23, 2004·The Journal of Chemical Physics·E Romera, J S Dehesa
Apr 20, 2005·The Journal of Chemical Physics·Nicolais L GuevaraRodolfo O Esquivel
Jun 11, 2005·The Journal of Chemical Physics·Manoj K HarbolaRajeev K Pathak
Aug 13, 2005·The Journal of Chemical Physics·Robin P Sagar, Nicolais L Guevara
Oct 19, 2005·The Journal of Chemical Physics·K D Sen
Dec 27, 2005·The Journal of Chemical Physics·K Ch ChatzisavvasC P Panos

❮ Previous
Next ❯

Citations

Sep 1, 2006·The Journal of Chemical Physics·K D Sen, Jacob Katriel
Mar 25, 2011·Statistics in Medicine·William PeterHoward S Burkom
Dec 1, 2015·Physical Chemistry Chemical Physics : PCCP·Humberto G LagunaAlán Aspuru-Guzik
Aug 3, 2017·The Journal of Chemical Physics·Thangarasu SriramanPaulsamy Muruganandam

❮ Previous
Next ❯

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

© 2022 Meta ULC. All rights reserved