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

Aljawi, Salma and Marletta, Marco ORCID: https://orcid.org/0000-0003-1546-4046 2021. On the eigenvalues of spectral gaps of matrix-valued Schrödinger operators. Numerical Algorithms 86 , pp. 637-657. 10.1007/s11075-020-00904-x

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Abstract

This 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.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Publisher:	Springer Verlag (Germany)
ISSN:	1017-1398
Date of First Compliant Deposit:	13 March 2020
Date of Acceptance:	12 February 2020
Last Modified:	04 May 2023 23:25
URI:	https://orca.cardiff.ac.uk/id/eprint/130397

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