Title
DIRAC: A new version of computer algebra tools for studying the properties and behavior of hydrogen-like ions
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 Green's 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.
Year
DOI
Venue
2010
10.1016/j.cpc.2009.11.010
Computer Physics Communications
Keywords
Field
DocType
Analytical solutions,Coulomb–Green's and wave functions,Dirac and Schrödinger equations,Energy levels,Expectation values,Hydrogen-like ions,Matrix elements,Radial integrals,Special functions
Mathematical optimization,Programming language,Source code,Special functions,Symbolic computation,Dirac (video compression format),Mathematics,Calculus
Journal
Volume
Issue
ISSN
181
3
0010-4655
Citations 
PageRank 
References 
1
0.41
0
Authors
3
Name
Order
Citations
PageRank
Sean McConnell110.41
Stephan Fritzsche252.64
Andrey Surzhykov330.94