Quantum graphs which sound the same

Shapira, Talia; Smilansky, Uzy

doi:10.1007/1-4020-3949-2_2

Talia Shapira³ &
Uzy Smilansky³

Part of the book series: NATO Science Series II: Mathematics, Physics and Chemistry ((NAII,volume 213))

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Abstract

We present a method to construct pairs of isospectral quantum graphs which are not isometric. These graphs are the analogues of the family of isospectral domains in ℝ² which were first introduced by Gordon, Webb and Wolpert (C. Gordon et. al., 1992), recently enlarged by P. Buser et. al. (P. Buser et. al., 1994), and discussed further by Okada et. al. (Y. Okada et. al., 2001).

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Authors and Affiliations

Department of Physics of Complex Systems, The Weizmann Institute of Science, Rehovot, 76100, Israel
Talia Shapira & Uzy Smilansky

Authors

Talia Shapira
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Uzy Smilansky
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Editor information

Editors and Affiliations

University of Alberta, Edmonton, AB, Canada
Faqir Khanna
Uzbek Academy of Sciences, Tashkent, Uzbekistan
Davron Matrasulov

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Shapira, T., Smilansky, U. (2006). Quantum graphs which sound the same. In: Khanna, F., Matrasulov, D. (eds) Non-Linear Dynamics and Fundamental Interactions. NATO Science Series II: Mathematics, Physics and Chemistry, vol 213. Springer, Dordrecht. https://doi.org/10.1007/1-4020-3949-2_2

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DOI: https://doi.org/10.1007/1-4020-3949-2_2
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-3947-8
Online ISBN: 978-1-4020-3949-2
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