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Non-variational computation of the eigenstates of Dirac operators with radially symmetric potentials
Published online by Cambridge University Press: 01 January 2010
Abstract
We discuss a novel strategy for computing the eigenvalues and eigenfunctions of the relativistic Dirac operator with a radially symmetric potential. The virtues of this strategy lie in the fact that it avoids completely the phenomenon of spectral pollution and it always provides two-sided estimates for the eigenvalues with explicit error bounds on both eigenvalues and eigenfunctions. We also discuss convergence rates of the method and illustrate our results with various numerical experiments.
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- Research Article
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- Copyright © London Mathematical Society 2010
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