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Open Quantum Systems Decoherence

Improvement of the Basis for the Solution of the Dirac Equation in Cassini Coordinates

arXiv
Authors: Walter Hahn, Anton N. Artemyev, Andrey Surzhykov

Year

2016

Paper ID

42892

Status

Preprint

Abstract Read

~2 min

Abstract Words

106

Citations

N/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 Ref. [1]. For the calculations in Ref. [1], 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 behaviour instead of B-splines. Thereby, we achieve a significant increase of accuracy of results as compared to Ref. [1].

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  • 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 Ref.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1610.05263 [2] arXiv https://arxiv.org/abs/1610.05263 [3] Publisher https://arxiv.org/abs/1610.05263

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