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Conditions for the spectrum associated with an asymptotically straight leaky wire to contain an interval [− α2/4, ∞)

Brown, Brian Malcolm ORCID: https://orcid.org/0000-0002-2871-6591, Eastham, M. S. P. and Wood, I. G. 2008. Conditions for the spectrum associated with an asymptotically straight leaky wire to contain an interval [− α2/4, ∞). Archiv der Mathematik 90 (6) , pp. 554-558. 10.1007/s00013-008-2612-1

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Abstract

The method of singular sequences is used to provide a simple and, in some respects, a more general proof of a known spectral result for leaky wires. The method introduces a new concept of asymptotic straightness.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Computer Science & Informatics
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Uncontrolled Keywords: Quantum wires, spectral theory, singular sequence
Publisher: Springer
ISSN: 0003-889X
Last Modified: 18 Oct 2022 13:21
URI: https://orca.cardiff.ac.uk/id/eprint/13555

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