dorsal/arxiv
View SchemaRelativistic wave and Green's functions for hydrogen--like ions
| Authors | Peter Koval, Stephan Fritzsche |
|---|---|
| Categories | |
| ArXiv ID | physics/0307116 |
| URL | https://arxiv.org/abs/physics/0307116 |
| DOI | 10.1016/S0010-4655(02)00798-1 |
| Journal | P. Koval and S. Fritzsche, Comput. Phys. Commun. 152 (2003) 191-207 |
Abstract
The \textsc{Greens} library is presented which provides a set of C++ procedures for the computation of the (radial) Coulomb wave and Green's functions. Both, the nonrelativistic as well as relativistic representations of these functions are supported by the library. However, while the wave functions are implemented for all, the bound and free--electron states, the Green's functions are provided only for bound--state energies $(E < 0$). Apart from the Coulomb functions, moreover, the implementation of several special functions, such as the Kummer and Whittaker functions of the first and second kind, as well as a few utility procedures may help the user with the set--up and evaluation of matrix elements.
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"abstract": "The \\textsc{Greens} library is presented which provides a set of C++\nprocedures for the computation of the (radial) Coulomb wave and Green\u0027s\nfunctions. Both, the nonrelativistic as well as relativistic representations of\nthese functions are supported by the library. However, while the wave functions\nare implemented for all, the bound and free--electron states, the Green\u0027s\nfunctions are provided only for bound--state energies $(E \u003c 0$). Apart from the\nCoulomb functions, moreover, the implementation of several special functions,\nsuch as the Kummer and Whittaker functions of the first and second kind, as\nwell as a few utility procedures may help the user with the set--up and\nevaluation of matrix elements.",
"arxiv_id": "physics/0307116",
"authors": [
"Peter Koval",
"Stephan Fritzsche"
],
"categories": [
"physics.atom-ph"
],
"doi": "10.1016/S0010-4655(02)00798-1",
"journal_ref": "P. Koval and S. Fritzsche, Comput. Phys. Commun. 152 (2003)\n 191-207",
"title": "Relativistic wave and Green\u0027s functions for hydrogen--like ions",
"url": "https://arxiv.org/abs/physics/0307116"
},
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