A B-spline Galerkin method for the Dirac equation

Charlotte Froese Fischer; Oleg Zatsarinny

doi:10.1016/j.cpc.2008.12.010

A B-spline Galerkin method for the Dirac equation

Atomic Physics 2015-05-13 v1

Authors: Charlotte Froese Fischer , Oleg Zatsarinny

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Abstract

The B-spline Galerkin method is investigated for the simple eigenvalue problem, $y^{\prime\prime} = -\lambda^2 y$ . Special attention is give to boundary conditions. From this analysis, we propose a stable method for the Dirac equation and evaluate its accuracy by comparing the computed and exact R-matrix for a wide range of nuclear charges $Z$ and angular quantum numbers $\kappa$ . No spurious solutions were found and excellent agreement was obtained for the R-matrix.

Keywords

dirac equation and dirac operator boundary value problems partial differential equations

Cite

@article{arxiv.0806.3067,
  title  = {A B-spline Galerkin method for the Dirac equation},
  author = {Charlotte Froese Fischer and Oleg Zatsarinny},
  journal= {arXiv preprint arXiv:0806.3067},
  year   = {2015}
}

Comments

PDFTex, 5 pages and 4 figures

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