Abstract
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. © 2007 IOP Publishing Ltd.
Original language | English |
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Article number | 010 |
Pages (from-to) | 9319-9329 |
Number of pages | 11 |
Journal | Journal of Physics A: Mathematical and Theoretical |
Volume | 40 |
Issue number | 31 |
DOIs | |
Publication status | Published - 27 Jul 2007 |