On approximation of the eigenvalues of perturbed periodic Schrödinger operators
On approximation of the eigenvalues of perturbed periodic Schrödinger operators
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DOI：
10.1088/1751-8113/40/31/010
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发表时间：
2007-02
期刊：
影响因子：
--
通讯作者：
L. Boulton;M. Levitin
中科院分区：
文献类型：
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作者：
L. Boulton;M. Levitin
本文讨论了受快减势扰动的周期薛定谔算子本质谱间隙中本征值的计算问题。我们使用最近开发的技术，所谓的二次投影法，以实现收敛光谱污染。我们详细描述了该方法的理论基础，并通过几个例子说明其有效性。
This paper addresses the problem of computing the eigenvalues lying in the gaps of the essential spectrum of a periodic Schrödinger operator perturbed by a fast decreasing potential. We use a recently developed technique, the so-called quadratic projection method, in order to achieve convergence free from spectral pollution. We describe the theoretical foundations of the method in detail and illustrate its effectiveness by several examples.