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
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
Journal title :
Computer Physics Communications