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- Title
Improvement of the basis for the solution of the Dirac equation in Cassini coordinates.
- Authors
Hahn, W.; Artemyev, A.; Surzhykov, A.
- 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.
- Subjects
DIRAC equation; CARTESIAN coordinates; NUCLEAR physics; ATOMIC mass; NUCLEAR electron capture
- Publication
Optics & Spectroscopy, 2017, Vol 123, Issue 2, p225
- ISSN
0030-400X
- Publication type
Article
- DOI
10.1134/S0030400X17080094