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Estimates for the lowest eigenvalue of a star graph

Brown, Brian Malcolm, 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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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: 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: 04 Jun 2017 02:54

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