Non-variational computation of the eigenstates of Dirac operators with radially symmetric potentials
Non-variational computation of the eigenstates of Dirac operators with radially symmetric potentials
复制标题
具有径向对称势的狄拉克算子本征态的非变分计算
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
N. Boussaid
中科院分区：
文献类型：
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作者：
L. Boulton;N. Boussaid
我们讨论了一种计算相对论Dirac算符的本征值和本征函数的新策略。这种策略的优点在于它完全避免了光谱污染现象，并且它总是提供特征值的双边估计，并且在特征值和特征函数上都有明确的误差界。我们还讨论了该方法的收敛速度，并用各种数值实验说明了我们的结果。
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 on the fact that it avoids completely the phenomenon of spectral pollution and it always provides two-side estimates for the eigenvalues with explicit error bounds on both eigenvalues and eigenfunctions. We also discuss convergence rates of the method as well as illustrate our results with various numerical experiments.