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Note on the role of symmetry in scattering from isospectral graphs and drums

Band, R., Sawicki, A. and Smilansky, Uzy 2012. Note on the role of symmetry in scattering from isospectral graphs and drums. Acta Physica Polonica A 120 (6A) , A149-A153.

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We discuss scattering from pairs of isospectral quantum graphs constructed using the method described in the papers of Parzanchevski, Band and Ben-Shach. It was shown in the paper of Band et al. that scattering matrices of such graphs have the same spectrum and polar structure, provided that infinite leads are attached in a way which preserves the symmetry of isospectral construction. In the current paper we compare this result with the conjecture put forward by Okada et al. that the pole distribution of scattering matrices in the exterior of isospectral domains in R2 is different.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Additional Information: Proceedings of the 5th Workshop on Quantum Chaos and Localisation Phenomena, Warsaw, Poland, May 20–22, 2011
Publisher: Polish Academy of Sciences - Institute of Physics
ISSN: 1898-794X
Last Modified: 19 Mar 2016 22:57

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