Quantum graphs which sound the same

Tirosh Shapira; Uzy Smilansky

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

Abstract

We present a method to construct pairs of isospectral quantum graphs which are not 2 isometric. These graphs are the analogues of the family of isospectral domains in R 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).

Original language	English
Pages (from-to)	17-29
Number of pages	13
Journal	Non-Linear Dynamics And Fundamental Interactions
Volume	213
DOIs	https://doi.org/10.1007/1-4020-3949-2_2
Publication status	Published - 2006
Event	NATO Advanced Research Workshop on Non-Linear Dynamics and Fundamental Interactions - Tashkent, UZBEKISTAN Duration: 10 Oct 2004 → 16 Oct 2004

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@article{e5b2ebce9d4c4c8da76ed7f30e6bcb2d,

title = "Quantum graphs which sound the same",

abstract = "We present a method to construct pairs of isospectral quantum graphs which are not 2 isometric. These graphs are the analogues of the family of isospectral domains in R 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).",

author = "Tirosh Shapira and Uzy Smilansky",

year = "2006",

doi = "10.1007/1-4020-3949-2\_2",

language = "English",

volume = "213",

pages = "17--29",

journal = "Non-Linear Dynamics And Fundamental Interactions",

note = "NATO Advanced Research Workshop on Non-Linear Dynamics and Fundamental Interactions ; Conference date: 10-10-2004 Through 16-10-2004",

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TY - JOUR

T1 - Quantum graphs which sound the same

AU - Shapira, Tirosh

AU - Smilansky, Uzy

PY - 2006

Y1 - 2006

N2 - We present a method to construct pairs of isospectral quantum graphs which are not 2 isometric. These graphs are the analogues of the family of isospectral domains in R 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).

AB - We present a method to construct pairs of isospectral quantum graphs which are not 2 isometric. These graphs are the analogues of the family of isospectral domains in R 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).

U2 - 10.1007/1-4020-3949-2_2

DO - 10.1007/1-4020-3949-2_2

M3 - Meeting Abstract

VL - 213

SP - 17

EP - 29

JO - Non-Linear Dynamics And Fundamental Interactions

JF - Non-Linear Dynamics And Fundamental Interactions

T2 - NATO Advanced Research Workshop on Non-Linear Dynamics and Fundamental Interactions

Y2 - 10 October 2004 through 16 October 2004

ER -

Quantum graphs which sound the same

Abstract

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