• Title of article

    DIRAC: A new version of computer algebra tools for studying the properties and behavior of hydrogen-like ions Original Research Article

  • Author/Authors

    Sean McConnell، نويسنده , , Stephan Fritzsche، نويسنده , , Andrey Surzhykov، نويسنده ,

  • Issue Information
    ماهنامه با شماره پیاپی سال 2010
  • Pages
    3
  • From page
    711
  • To page
    713
  • Abstract
    During recent years, the Dirac package has proved to be an efficient tool for studying the structural properties and dynamic behavior of hydrogen-like ions. Originally designed as a set of Maple procedures, this package provides interactive access to the wave and Greenʹs functions in the non-relativistic and relativistic frameworks and supports analytical evaluation of a large number of radial integrals that are required for the construction of transition amplitudes and interaction cross sections. We provide here a new version of the Dirac program which is developed within the framework of Mathematica (version 6.0). This new version aims to cater to a wider community of researchers that use the Mathematica platform and to take advantage of the generally faster processing times therein. Moreover, the addition of new procedures, a more convenient and detailed help system, as well as source code revisions to overcome identified shortcomings should ensure expanded use of the new Dirac program over its predecessor.
  • Keywords
    Dirac and Schr?dinger equations , Coulomb–Greenיs and wave functions , Energy levels , Expectation values , Hydrogen-like ions , Matrix elements , Radial integrals , Special functions , Analytical solutions
  • Journal title
    Computer Physics Communications
  • Serial Year
    2010
  • Journal title
    Computer Physics Communications
  • Record number

    1137910