A quantum particle in a circle; an informational approach revisited

We study the localization-delocalization of a particle moving within a circular region of radius r0 from a theoretical information point of view. We computed the Shannon entropy, Fisher information and disequilibrium in configuration and momentum spaces for a collection of stationary states. Comparing our results of Shannon entropies with those previously published we found good agreement with those. Shannon entropy, Fisher information and the disequilibrium offer complementary results for the description of the particle localization-delocalization.

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Publication Details

Journal
Revista Mexicana de Física
Published
2025-07-01
DOI
https://doi.org/10.31349/revmexfis.71.040701
Primary Topic
Quantum Mechanics and Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

A quantum particle in a circle; an informational approach revisited

N. Aquino, Elizabeth Cruz, C. R. Estañón, H. Yee‐Madeira
Revista Mexicana de Física
Quantum Mechanics and Applications
article

A quantum particle in a circle; an informational approach revisited

N. Aquino, Elizabeth Cruz, C. R. Estañón, H. Yee‐Madeira
article en

Abstract

We study the localization-delocalization of a particle moving within a circular region of radius r0 from a theoretical information point of view. We computed the Shannon entropy, Fisher information and disequilibrium in configuration and momentum spaces for a collection of stationary states. Comparing our results of Shannon entropies with those previously published we found good agreement with those. Shannon entropy, Fisher information and the disequilibrium offer complementary results for the description of the particle localization-delocalization.

Revista Mexicana de FísicaVol. 71(4 Jul-Aug)
Universidad Autónoma Metropolitana (MX), Instituto Politécnico Nacional (MX)
Openalex Percentile: Top 88%
Quantum Mechanics and Applications
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