Estimates for the lowest eigenvalue of a star graph

Brown, Brian Malcolm ORCID: https://orcid.org/0000-0002-2871-6591, Eastham, M. S. P. and Wood, I. G. 2009. Estimates for the lowest eigenvalue of a star graph. Journal of Mathematical Analysis and Applications 354 (1) , pp. 24-30. 10.1016/j.jmaa.2008.12.014

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Abstract

We derive new estimates for the lowest eigenvalue of the Schrödinger operator associated with a star graph in R2. We achieve this by a variational method and a procedure for identifying test functions which are sympathetic to the geometry of the star graph.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Schools > Computer Science & Informatics
Subjects:	Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Uncontrolled Keywords:	Quantum wires; Spectral theory; Eigenvalue
Publisher:	Elsevier
ISSN:	0022-247X
Last Modified:	18 Oct 2022 13:21
URI:	https://orca.cardiff.ac.uk/id/eprint/13559

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