On the eigenvalues of spectral gaps of matrix-valued Schrödinger operators-Reference-Cited by-同舟云学术

On the eigenvalues of spectral gaps of matrix-valued Schrödinger operators

Published:2020-03-11 Issue:2 Volume:86 Page:637-657
ISSN:1017-1398
Container-title:Numerical Algorithms
language:en
Short-container-title:Numer Algor

Author:

Aljawi Salma,Marletta Marco^ORCID

Abstract

AbstractThis paper presents a method for calculating eigenvalues lying in the gaps of the essential spectrum of matrix-valued Schrödinger operators. The technique of dissipative perturbation allows eigenvalues of interest to move up the real axis in order to achieve approximations free from spectral pollution. Some results of the behaviour of the corresponding eigenvalues are obtained. The effectiveness of this procedure is illustrated by several numerical examples.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s11075-020-00904-x.pdf

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