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Distribution of eigenvalues in gaps of the essential spectrum of Sturm-Liouville operators - a numerical approach

Brown, Brian Malcolm, Eastham, Michael S. P., Hinz, Andreas M. and Schmidt, Karl Michael 2004. Distribution of eigenvalues in gaps of the essential spectrum of Sturm-Liouville operators - a numerical approach. Journal Of Computational Analysis And Applications 6 (1) , pp. 85-95.

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Abstract

This paper reports on a new numerical procedure to count eigenvalues in spectral gaps for a class of perturbed periodic Sturm-Liouville operators. It is motivated by the desire to analyse the distribution of eigenvalues in the dense point spectrum of d-dimensional radially periodic Schrodinger operators. Our numerical results indicate that the well-known asymptotic formula for the largecoupling limit gives a good description already for moderate values of the coupling constant.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Last Modified: 07 Sep 2020 13:54
URI: http://orca.cf.ac.uk/id/eprint/26498

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