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dc.contributor.authorFarid, M
dc.contributor.authorAbdel-Hady, A
dc.contributor.authorNasser, I
dc.contributor.authorFarid, Mohsen
dc.date.accessioned2020-10-23T11:32:10Z
dc.date.available2020-10-23T11:32:10Z
dc.date.issued2017-07-11
dc.identifier.citationFarid, M., Abdel-Hady, A. and Nasser, I., (2017). 'Comparative study of the scaling behavior of the Rényi entropy for He-like atoms'. Journal of Physics: Conference Series, 869(1), pp. 1-5.en_US
dc.identifier.issn1742-6588
dc.identifier.doi10.1088/1742-6596/869/1/012011
dc.identifier.urihttp://hdl.handle.net/10545/625279
dc.description.abstractWe solve the Schrödinger equation in the spherical or Hylleraas-coordinate systems, and within the framework of the Ritz’s variational principle. The eigenvalues, and the eigenfunctions ψ(r) in r- or Hylleraas-space for the 1s2-state of the He-like atoms as a function of two variational parameters are calculated. Using a simple scaling procedure, we calculate the scaled wavefunction as a function of the nuclear charge Z. Given the density of states, ρ(r), the scaling behavior of the information entropies, e.g., Fisher, Shannon and Rényi’s entropies, with their powers and products, as functions of Z are calculated. Scaled wavefunctions for the 1s2-state of the He-like atoms, with exchange, have been used to study the scaling behavior. Our results agree with the published results. Furthermore, we present a simple logarithmic equation that shows the dependence of information entropies on Z for He-like atoms. The formulation enhances the computational efficiency of the entropies and other related quantities.en_US
dc.description.sponsorshipN/Aen_US
dc.language.isoenen_US
dc.publisherIOP Publishingen_US
dc.relation.urlhttps://iopscience.iop.org/article/10.1088/1742-6596/869/1/012011en_US
dc.rights.urihttp://iopscience.iop.org/info/page/text-and-data-mining
dc.subjectGeneral Physics and Astronomyen_US
dc.subjectRényi entropy, Fisher entropy, Shannon entropy, scaling behavior, He-like atomsen_US
dc.titleComparative study of the scaling behavior of the Rényi entropy for He-like atomsen_US
dc.typeResearch Reporten_US
dc.contributor.departmentUniversity of Derbyen_US
dc.contributor.departmentEgyptian Chinese University, Cairo, Egypten_US
dc.contributor.departmentKing Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi Arabiaen_US
dc.identifier.journalJournal of Physicsen_US
dc.source.journaltitleJournal of Physics: Conference Series
dc.source.volume869
dc.source.beginpage012011
dcterms.dateAccepted2017-03-01
dc.author.detail784680en_US


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