Title | ||
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DIRAC: A new version of computer algebra tools for studying the properties and behavior of hydrogen-like ions |
Abstract | ||
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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 |
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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 McConnell | 1 | 1 | 0.41 |
Stephan Fritzsche | 2 | 5 | 2.64 |
Andrey Surzhykov | 3 | 3 | 0.94 |