A B-spline Galerkin method for the Dirac equation
Abstract
The B-spline Galerkin method is investigated for the simple eigenvalue problem, y = -λ2 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 . No spurious solutions were found and excellent agreement was obtained for the R-matrix.
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