Scattering from isospectral quantum graphs

Smilansky, Uzy, Band, R. and Sawicki, A. 2010. Scattering from isospectral quantum graphs. Journal of Physics A: Mathematical and Theoretical 43 (41) , 415201. 10.1088/1751-8113/43/41/415201

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Abstract

Quantum graphs can be extended to scattering systems when they are connected by leads to infinity. It is shown that for certain extensions, the scattering matrices of isospectral graphs are conjugate to each other and their poles distributions are therefore identical. The scattering matrices are studied using a recently developed isospectral theory (Band et al 2009 J. Phys. A: Math. Theor. 42 175202 and Parzanchevski and Band 2010 J. Geom. Anal. 20 439–71). At the same time, the scattering approach offers a new insight on the mentioned isospectral construction.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Publisher:	IOP Publishing
ISSN:	1751-8121
Related URLs:	Publisher
Last Modified:	19 Mar 2016 22:28
URI:	https://orca.cardiff.ac.uk/id/eprint/17719

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