Improvement of the basis for the solution of the Dirac equation in Cassini coordinates
We propose an improvement of the basis for the solution of the stationary two-centre Dirac equation in Cassini coordinates using the finite-basis-set method presented in our earlier article [J. Phys. B 43, 235207 (2010)]. For the calculations in the above article, we constructed the basis for approx...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
26 August 2017
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| In: |
Optics and spectroscopy
Year: 2017, Volume: 123, Issue: 2, Pages: 225-230 |
| ISSN: | 1562-6911 |
| DOI: | 10.1134/S0030400X17080094 |
| Online Access: | Verlag, Volltext: http://dx.doi.org/10.1134/S0030400X17080094 Verlag, Volltext: http://link.springer.com/10.1134/S0030400X17080094 
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| Author Notes: | W. Hahn, A.N. Artemyev, and A. Surzhykov |
| Summary: | We propose an improvement of the basis for the solution of the stationary two-centre Dirac equation in Cassini coordinates using the finite-basis-set method presented in our earlier article [J. Phys. B 43, 235207 (2010)]. For the calculations in the above article, we constructed the basis for approximating the energy eigenfunctions by using smooth piecewise defined polynomials, called B-splines. In the present article, we report that an analysis of the employed representation of the Dirac matrices shows that the above approximation is not efficient using B-splines only. Therefore, we include basis functions which are defined using functions with step-like behavior instead of B-splines. Thereby, we achieve a significant increase of accuracy of results. |
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| Item Description: | Gesehen am 16.05.2018 |
| Physical Description: | Online Resource |
| ISSN: | 1562-6911 |
| DOI: | 10.1134/S0030400X17080094 |