Elsevier

Results in Physics

Volume 21, February 2021, 103796
Results in Physics

Entropic measures of an atom confined in modified Hulthen potential

https://doi.org/10.1016/j.rinp.2020.103796Get rights and content
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Highlights

  • The information theoric measures are shown to be influenced by the parameters of modified Hulthen potential.

  • The spherical hard wall confinement induces degeneracies between states with different quantum numbers.

  • The sign of inverse square potential plays important role in defining the region of hard wall confinement

Abstract

Various information theoretic measures, complexities and their inequalities are studied for hydrogen atom under modified Hulthen potential which is a combination of Hulthen potential and inverse square potential. In addition, spherical confinement is also considered. Few of these results are compared with the results are available in the literature. In particular the Shannon entropy for free and confined atom is detailed for many states. The effects of inverse square potential parameter (‘a’ which is either positive or negative) on Shannon entropy and Fisher information is studied in confined and free region of atom. The Bialynicki-Birula-Mycielski (BBM) inequality is verified for the confined system.

Keywords

Modified Hulthen potential
Shannon entropy
Fisher information
Onicescu energy
Radial confinement

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