Shannon information entropy in the presence of magnetic and Aharanov–Bohm (AB) fields

• Published in: European physical journal plus Vol. 136; no. 4; p. 432
• Main Authors: Edet, C. O., Ikot, A. N.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2021; Springer Nature B.V
• Subjects: Accuracy; Applied and Technical Physics; Approximation; Atomic; Complex Systems; Condensed Matter Physics; Energy equation; Entropy; Entropy (Information theory); Fourier transforms; Functional analysis; Information theory; Localization; Magnetic fields; Mathematical and Computational Physics; Molecular; Molecular physics; Optical and Plasma Physics; Physics; Physics and Astronomy; Probability distribution; Quantum chemistry; Quantum phenomena; Regular Article; Schrodinger equation; Theoretical; Uncertainty; Wave functions; Yukawa potential
• ISSN: 2190-5444; 2190-5444
• DOI: 10.1140/epjp/s13360-021-01438-4

In this research article, quantum information-theoretic analysis of the class of Yukawa potential (CYP) has been considered in the presence of magnetic and Aharanov–Bohm (AB) fields both analytically. We solve the Schrodinger equation in the presence of external magnetic and AB fields for the CYP via the functional analysis approach to obtain the energy equation and wave function, respectively. The probability density is then obtained by squaring the wave function which is then used to obtain the Shannon entropy numerically. From our results, we note that the all-inclusive effect of the magnetic and AB fields influences the Shannon entropies such that negative values are observed, demonstrating that negative entropies exist which physically means that the probability densities are highly localized in this region. The variation in the Shannon entropy with the screening parameter α , magnetic and AB fields for the CYP is discussed. The Bialynicki-Birula, Mycielski inequality (BBM) uncertainty relation is also verified. The content of this research finds application in atomic and molecular physics, quantum chemistry and physics. Graphic abstract In this study, Shannon information entropy is investigated with the class of Yukawa potential in position and momentum spaces in the presence of magnetic and Aharanov–Bohm (AB) fields. The all-inclusive effect of the magnetic and AB fields influences the Shannon entropies such that negative values are observed, which physically means that the probability densities are highly localized in this region. The Shannon entropy measure satisfied the Bialynicki-Birula and Mycielski (BBM) uncertainty.