Pavel Kurasov and Marlena Nowaczyk 2005 J. Phys. A: Math. Gen. 38 4901 doi:10.1088/0305-4470/38/22/014
Inverse spectral problem for quantum graphs
Pavel Kurasov1,2 and Marlena Nowaczyk1
Show affiliationsThe inverse spectral problem for the Laplace operator on a finite metric graph is investigated. It is shown that this problem has a unique solution for graphs with rationally independent edges and without vertices having valence 2. To prove the result, a trace formula connecting the spectrum of the Laplace operator with the set of periodic orbits for the metric graph is established.
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Issue 22 (3 June 2005)
Received 8 November 2004, in final form 23 March 2005
Published 18 May 2005
A Corrigendum for this article has been published in 2006 J. Phys. A: Math. Gen. 39 993
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Inverse spectral problem for quantum graphs
Pavel Kurasov and Marlena Nowaczyk 2005 J. Phys. A: Math. Gen. 38 4901
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