Improvement of the basis for the solution of the Dirac equation in Cassini coordinates

• Verfasst von: Hahn, Walter [VerfasserIn]
• Verfasst von: Artemyev, Anton [VerfasserIn]
• Verfasst von: Surzhykov, Andrey [VerfasserIn]
• Titel: Improvement of the basis for the solution of the Dirac equation in Cassini coordinates
• Verf.angabe: W. Hahn, A.N. Artemyev, and A. Surzhykov
• Umfang: 6 S.
• Fussnoten: Gesehen am 16.05.2018
• Titel Quelle: Enthalten in: Optics and spectroscopy
• Jahr Quelle: 2017
• Band/Heft Quelle: 123(2017), 2, S. 225-230
• ISSN Quelle: 1562-6911
• DOI: doi:10.1134/S0030400X17080094
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1575177544

Abstract

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.