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Shannon information entropy sum of the confined hydrogenic atom under the influence of an electric field

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A Correction to this article was published on 24 September 2021

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Abstract

In this work, we present the effects of an external electric field on the Shannon entropy sum of a spherically confined hydrogenic atom. The confinement considered is of the impenetrable hard wall type. The electric field modifies the spectrum of the confined hydrogenic system, which results in avoided crossings among the energy levels of the system, with strong competition between the Coulombic and hard wall potential. The results presented indicate that the electric field is a strong candidate to modify information theoretic measures. In addition, we examine the effects of field strength, nuclear charge and hard walls on the minima/maxima structure of the entropic sum.

Graphic Abstract

Shannon entropy sum, \(S_t\), versus confinement radius, \(R_c\), of the 2p level of confined hydrogenic atoms, with field strength \(\epsilon = 0\) (black), \(\epsilon = 0.001\) (red), \(\epsilon = 0.01\) (green) and \(\epsilon = 0.05\) (blue). The intensity of the field modifies the structure in \(S_t\).

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: The data presented in this work are available upon request from the corresponding author.]

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Acknowledgements

S.J.C.S. would like to thank CONACyT for a graduate fellowship.

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Authors and Affiliations

  1. Departamento de Química, Universidad Autónoma Metropolitana, San Rafael Atlixco No. 186, Iztapalapa, 09340, Ciudad de México, México

    S. J. C. Salazar, H. G. Laguna & R. P. Sagar

  2. Department of Physics and Astrophysics, University of Delhi, Delhi, 110007, India

    B. Dahiya

  3. Department of Physics, Swami Shraddhanand College, University of Delhi, Delhi, 110036, India

    V. Prasad

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  1. S. J. C. Salazar
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  2. H. G. Laguna
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Correspondence to H. G. Laguna.

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Salazar, S.J.C., Laguna, H.G., Dahiya, B. et al. Shannon information entropy sum of the confined hydrogenic atom under the influence of an electric field. Eur. Phys. J. D 75, 127 (2021). https://doi.org/10.1140/epjd/s10053-021-00143-2

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