Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:1504.05731 · Chemical Physics Letters

Shannon information entropy in position space for two-electron atomic systems

Chien-Hao Lin, Y. K. Ho

Published May 30, 2015• 74 citations
arXivHTMLPDF
DOI
10.1016/j.cplett.2015.05.029

Related papers

Shannon Information Entropy for Two-Electron Systems in Position Space

Y. K. Ho, Chien-Hao Lin

Bulletin of the American Physical Society•Jun 10, 2015•0 citations

The delocalization of electrons in position and momentum space densities: A study of Shannon information entropies

Minhhuy Hô

•Jan 1, 1998•1 citation

Information uncertainty-type inequalities in atomic systems

Nicolais L. Guevara, Robin P. Sagar, Rodolfo O. Esquivel

The one-electron Shannon information entropy sum is reformulated in terms of a single entropic quantity dependent on a one-electron phase space quasiprobability density. This entropy is shown to form an upper bound for the entropy of the one-electron Wigner distribution. Two-electron entropies in position and momentum space, and their sum, are introduced, discussed, calculated, and compared to their one-electron counterparts for neutral atoms. The effect of electron correlation on the two-electron entropies is examined for the helium isoelectronic series. A lower bound for the two-electron entropy sum is developed for systems with an even number of electrons. Calculations illustrate that this bound may also be used for systems with an odd number of electrons. This two-electron entropy sum is then recast in terms of a two-electron phase space quasiprobability density. We show that the original Bialynicki-Birula and Mycielski information inequality for the N-electron wave function may also be formulated in terms of an N-electron phase space density. Upper bounds for the two-electron entropies in terms of the one-electron entropies are reported and verified with numerical calculations.

The Journal of Chemical Physics•Oct 3, 2003•73 citations

INFORMATION ENTROPY OF QUANTUM DYNAMICS

Progonov, Dmitro, Machusky, Eugene, Lucenko, Volodimir

Journal of Lasers Optics & Photonics•Jan 1, 2018•0 citations

Information Theoretical Aspects of Quantum Mechanical Entropy

Alfred Wehrl

NATO ASI series. Series B : Physics•Jan 1, 1991•3 citations

Two‐dimensional confined hydrogen: An entropy and complexity approach

Carlos R. Estañón, Norberto Aquino, David Puertas‐Centeno +1 more

Abstract The position and momentum spreading of the electron distribution of the two‐dimensional confined hydrogenic atom, which is a basic prototype of the general multidimensional confined quantum systems, is numerically studied in terms of the confinement radius for the 1s, 2s, 2p, and 3d quantum states by means of the main entropy and complexity information‐theoretical measures. First, the Shannon entropy and the Fisher information, as well as the associated uncertainty relations, are computed and discussed. Then, the Fisher‐Shannon, lopezruiz‐mancini‐alvet, and LMC‐Rényi complexity measures are examined and mutually compared. We have found that these entropy and complexity quantities reflect the rich properties of the electron confinement extent in the two conjugated spaces.

arXiv:2002.08664•International Journal of Quantum Chemistry•Feb 19, 2020•43 citations
The one-electron Shannon information entropy sum is reformulated in terms of a single entropic quantity dependent on a one-electron phase space quasiprobability density. This entropy is shown to form an upper bound for the entropy of the one-electron Wigner distribution. Two-electron entropies in position and momentum space, and their sum, are introduced, discussed, calculated, and compared to their one-electron counterparts for neutral atoms. The effect of electron correlation on the two-electron entropies is examined for the helium isoelectronic series. A lower bound for the two-electron entropy sum is developed for systems with an even number of electrons. Calculations illustrate that this bound may also be used for systems with an odd number of electrons. This two-electron entropy sum is then recast in terms of a two-electron phase space quasiprobability density. We show that the original Bialynicki-Birula and Mycielski information inequality for the N-electron wave function may also be formulated in terms of an N-electron phase space density. Upper bounds for the two-electron entropies in terms of the one-electron entropies are reported and verified with numerical calculations.
Abstract The position and momentum spreading of the electron distribution of the two‐dimensional confined hydrogenic atom, which is a basic prototype of the general multidimensional confined quantum systems, is numerically studied in terms of the confinement radius for the 1s, 2s, 2p, and 3d quantum states by means of the main entropy and complexity information‐theoretical measures. First, the Shannon entropy and the Fisher information, as well as the associated uncertainty relations, are computed and discussed. Then, the Fisher‐Shannon, lopezruiz‐mancini‐alvet, and LMC‐Rényi complexity measures are examined and mutually compared. We have found that these entropy and complexity quantities reflect the rich properties of the electron confinement extent in the two conjugated spaces.