• Login
    View Item 
    •   Home
    • Research Publications
    • Engineering & Technology
    • Department of Electronics, Computing & Maths
    • View Item
    •   Home
    • Research Publications
    • Engineering & Technology
    • Department of Electronics, Computing & Maths
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Browse

    All of UDORACommunitiesTitleAuthorsIssue DateSubmit DateSubjectsThis CollectionTitleAuthorsIssue DateSubmit DateSubjects

    My Account

    LoginRegister

    About and further information

    AboutOpen Access WebpagesOpen Access PolicyTake Down Policy University Privacy NoticeUniversity NewsTools for ResearchersLibraryUDo

    Statistics

    Display statistics

    Comparative study of the scaling behavior of the Rényi entropy for He-like atoms

    • CSV
    • RefMan
    • EndNote
    • BibTex
    • RefWorks
    Authors
    Farid, M
    Abdel-Hady, A
    Nasser, I
    Farid, Mohsen
    Affiliation
    University of Derby
    Egyptian Chinese University, Cairo, Egypt
    King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi Arabia
    Issue Date
    2017-07-11
    
    Metadata
    Show full item record
    Abstract
    We 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.
    Citation
    Farid, 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.
    Publisher
    IOP Publishing
    Journal
    Journal of Physics
    URI
    http://hdl.handle.net/10545/625279
    DOI
    10.1088/1742-6596/869/1/012011
    Additional Links
    https://iopscience.iop.org/article/10.1088/1742-6596/869/1/012011
    Type
    Research Report
    Language
    en
    ISSN
    1742-6588
    ae974a485f413a2113503eed53cd6c53
    10.1088/1742-6596/869/1/012011
    Scopus Count
    Collections
    Department of Electronics, Computing & Maths

    entitlement

     
    DSpace software (copyright © 2002 - 2021)  DuraSpace
    Quick Guide | Contact Us
    Open Repository is a service operated by 
    Atmire NV
     

    Export search results

    The export option will allow you to export the current search results of the entered query to a file. Different formats are available for download. To export the items, click on the button corresponding with the preferred download format.

    By default, clicking on the export buttons will result in a download of the allowed maximum amount of items.

    To select a subset of the search results, click "Selective Export" button and make a selection of the items you want to export. The amount of items that can be exported at once is similarly restricted as the full export.

    After making a selection, click one of the export format buttons. The amount of items that will be exported is indicated in the bubble next to export format.