Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Link between generalized nonidempotency and complexity measures.

Á Nagy1, E Romera2

  • 1Department of Theoretical Physics, University of Debrecen, 4002, Debrecen, Hungary. anagy@madget.atomki.hu.

Journal of Molecular Modeling
|April 14, 2017
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Density Functional Theory and Information-Theoretic Diagnostics of Quantum Phase Transitions.

Entropy (Basel, Switzerland)·2026
Same author

Fisher Information Density Functional Theory.

Journal of computational chemistry·2025
Same author

Ensemble density functional theory with spherically symmetric densities.

The Journal of chemical physics·2025
Same author

Density functional theory from spherically symmetric densities: Ground and excited states of Coulomb systems.

The Journal of chemical physics·2024
Same author

Spherical densities and potentials in exactly solvable model molecules.

The Journal of chemical physics·2023
Same author

Spherical Density Functional Theory and Atoms in Molecules.

The journal of physical chemistry. A·2019
Same journal

SMASH: Screening Molecules Accurately on Small Hardware. Fast, user-friendly, enhanced with a machine learning virtual screening tool.

Journal of molecular modeling·2026
Same journal

Penetration resistance of g-C<sub>3</sub>N<sub>4</sub>/h-BN heterojunction nanocomposite coatings applied to concrete surfaces.

Journal of molecular modeling·2026
Same journal

A DFT study on molecular modeling of aluminum-germanium Cu-doped/undoped cluster for NLO responses by structural tuning.

Journal of molecular modeling·2026
Same journal

Coupled rotational and bending dynamics of CO<sub>2</sub> near nanoporous graphene.

Journal of molecular modeling·2026
Same journal

Discovery of ravenelin B from Exserohilum rostratum: structural elucidation of a scarce xanthone via integrated NMR/DFT-GIAO approach and comprehensive excited-state characterization.

Journal of molecular modeling·2026
Same journal

Enhancing electrical and thermoelectrical performance of graphene nanoribbons through geometrical defect engineering.

Journal of molecular modeling·2026
See all related articles

The Löwdin nonidempotency measure correlates with disequilibrium. A simple relationship connects López-Ruiz-Mancini-Calbet (LMC) complexity and generalized nonidempotency, demonstrated in a two-electron atom model.

Area of Science:

  • Quantum chemistry
  • Statistical complexity theory

Background:

  • The Löwdin nonidempotency measure quantifies deviations from idempotency in quantum mechanics.
  • Statistical complexity measures, such as the López-Ruiz-Mancancini-Calbet (LMC) complexity, are used to characterize probability distributions.
  • Understanding the relationship between these measures can provide deeper insights into the nature of quantum systems.

Purpose of the Study:

  • To investigate the relationship between the Löwdin nonidempotency measure and statistical complexity measures.
  • To establish a direct proportionality between nonidempotency and disequilibrium.
  • To explore a generalized nonidempotency measure and its connection to generalized statistical complexities.

Main Methods:

  • Theoretical analysis of the Löwdin nonidempotency measure.
Keywords:
Generalized statistical complexitiesNonidempotency measure

Related Experiment Videos

  • Derivation of relationships between nonidempotency, disequilibrium, and LMC complexity.
  • Application and illustration using an exactly solvable two-electron model atom.

    • Main Results:

    • The Löwdin nonidempotency measure is found to be directly proportional to the disequilibrium.
    • A simple and direct relationship is established between the LMC complexity and generalized statistical complexities with the generalized nonidempotency measure.
    • The theoretical findings are validated using a specific two-electron model system.

    Conclusions:

    • The study reveals a fundamental connection between nonidempotency and statistical measures of complexity and disequilibrium in quantum systems.
    • The generalized nonidempotency measure offers a unified framework for understanding these relationships.
    • The findings contribute to the characterization of quantum states and their properties.